From 18ac8685b86ba6c7034210d0958fa1f0793562fc Mon Sep 17 00:00:00 2001
From: Diego Vaca <diegovaca@autoreg-6682246.dyn.wpi.edu>
Date: Tue, 29 Apr 2025 11:10:46 -0400
Subject: [PATCH 01/10] Remove RKCK (time_stepper == 4)

---
 src/common/m_checker_common.fpp          |   2 +-
 src/common/m_constants.fpp               |  29 ---
 src/post_process/m_global_parameters.fpp |   3 +-
 src/post_process/m_mpi_proxy.fpp         |   3 +-
 src/post_process/m_start_up.f90          |   4 +-
 src/pre_process/m_global_parameters.fpp  |   7 -
 src/pre_process/m_start_up.fpp           |   6 +-
 src/simulation/m_acoustic_src.fpp        |   1 -
 src/simulation/m_bubbles_EL.fpp          | 268 +----------------------
 src/simulation/m_checker.fpp             |   2 +-
 src/simulation/m_global_parameters.fpp   |   9 +-
 src/simulation/m_mpi_proxy.fpp           |   4 +-
 src/simulation/m_start_up.fpp            |  12 +-
 src/simulation/m_time_steppers.fpp       | 197 ++---------------
 toolchain/mfc/test/case.py               |   2 -
 toolchain/mfc/test/cases.py              |  15 +-
 16 files changed, 37 insertions(+), 527 deletions(-)

diff --git a/src/common/m_checker_common.fpp b/src/common/m_checker_common.fpp
index 7a590beea0..18b5f6f3c9 100644
--- a/src/common/m_checker_common.fpp
+++ b/src/common/m_checker_common.fpp
@@ -62,7 +62,7 @@ contains
         !! Called by s_check_inputs_common for simulation and post-processing
     subroutine s_check_inputs_time_stepping
         if (cfl_dt) then
-            @:PROHIBIT((cfl_target < 0 .or. cfl_target > 1._wp) .and. .not. rkck_adap_dt)
+            @:PROHIBIT(cfl_target < 0 .or. cfl_target > 1._wp)
             @:PROHIBIT(t_stop <= 0)
             @:PROHIBIT(t_save <= 0)
             @:PROHIBIT(t_save > t_stop)
diff --git a/src/common/m_constants.fpp b/src/common/m_constants.fpp
index 4c90034636..48b0dba48b 100644
--- a/src/common/m_constants.fpp
+++ b/src/common/m_constants.fpp
@@ -49,35 +49,6 @@ module m_constants
     integer, parameter :: mapCells = 3 !< Number of cells around the bubble where the smoothening function will have effect
     real(wp), parameter :: R_uni = 8314._wp ! Universal gas constant - J/kmol/K
 
-    ! RKCK constants
-    integer, parameter :: num_ts_rkck = 6 !< Number of time-stages in the RKCK stepper
-    ! RKCK 4th/5th time stepper coefficients based on Cash J. and Karp A. (1990)
-    real(wp), parameter :: rkck_c1 = 0._wp, rkck_c2 = 0.2_wp, rkck_c3 = 0.3_wp, rkck_c4 = 0.6_wp, &     ! c1 c2 c3 c4 c5 c6
-                           rkck_c5 = 1._wp, rkck_c6 = 0.875_wp
-    real(wp), dimension(6), parameter :: rkck_coef1 = (/0.2_wp, 0._wp, 0._wp, 0._wp, 0._wp, 0._wp/)     ! a21
-    real(wp), dimension(6), parameter :: rkck_coef2 = (/3._wp/40._wp, 9._wp/40._wp, 0._wp, 0._wp, &     ! a31 a32
-                                                        0._wp, 0._wp/)
-    real(wp), dimension(6), parameter :: rkck_coef3 = (/0.3_wp, -0.9_wp, 1.2_wp, 0._wp, 0._wp, 0._wp/)  ! a41 a42 a43
-    real(wp), dimension(6), parameter :: rkck_coef4 = (/-11._wp/54._wp, 2.5_wp, -70._wp/27._wp, &       ! a51 a52 a53 a54
-                                                        35._wp/27._wp, 0._wp, 0._wp/)
-    real(wp), dimension(6), parameter :: rkck_coef5 = (/1631._wp/55296._wp, 175._wp/512._wp, &          ! a61 a62 a63 a64 a65
-                                                        575._wp/13824._wp, 44275._wp/110592._wp, &
-                                                        253._wp/4096._wp, 0._wp/)
-    real(wp), dimension(6), parameter :: rkck_coef6 = (/37._wp/378._wp, 0._wp, 250._wp/621._wp, &       ! b1 b2 b3 b4 b5 b6
-                                                        125._wp/594._wp, 0._wp, 512._wp/1771._wp/)
-    real(wp), dimension(6), parameter :: rkck_coefE = (/37._wp/378._wp - 2825._wp/27648._wp, 0._wp, &   ! er1 er2 er3 er4 er5 er6 (4th/5th error)
-                                                        250._wp/621._wp - 18575._wp/48384._wp, &
-                                                        125._wp/594._wp - 13525._wp/55296._wp, &
-                                                        -277._wp/14336._wp, 512._wp/1771._wp - 0.25_wp/)
-    ! Adaptive rkck constants
-    real(wp), parameter :: verysmall_dt = 1e-14_wp !< Very small dt, stop stepper
-    real(wp), parameter :: SAFETY = 0.9_wp !< Next dt will be maximum 0.9*dt if truncation error is above tolerance.
-    real(wp), parameter :: RNDDEC = 1e8_wp !< Round calculated dt (16th digit) to avoid the inclusion of random decimals
-    real(wp), parameter :: PSHRNK = -0.25_wp !< Factor to reduce dt when truncation error above tolerance
-    real(wp), parameter :: SHRNKDT = 0.5_wp !< Factor to reduce dt due to negative bubble radius
-    real(wp), parameter :: ERRCON = 1.89e-4_wp !< Limit to slightly increase dt when truncation error is between ERRCON and 1
-    real(wp), parameter :: PGROW = -0.2_wp !< Factor to increase dt when truncation error is between ERRCON and 1
-
     ! Relativity
     integer, parameter :: relativity_cons_to_prim_max_iter = 100
 
diff --git a/src/post_process/m_global_parameters.fpp b/src/post_process/m_global_parameters.fpp
index 00c5f0ec27..6d53f64015 100644
--- a/src/post_process/m_global_parameters.fpp
+++ b/src/post_process/m_global_parameters.fpp
@@ -314,7 +314,7 @@ module m_global_parameters
 
     !> @name Lagrangian bubbles
     !> @{
-    logical :: bubbles_lagrange, rkck_adap_dt
+    logical :: bubbles_lagrange
     !> @}
 
     real(wp) :: Bx0 !< Constant magnetic field in the x-direction (1D)
@@ -443,7 +443,6 @@ contains
 
         ! Lagrangian bubbles modeling
         bubbles_lagrange = .false.
-        rkck_adap_dt = .false.
 
         ! IBM
         num_ibs = dflt_int
diff --git a/src/post_process/m_mpi_proxy.fpp b/src/post_process/m_mpi_proxy.fpp
index 5154d19102..579377f501 100644
--- a/src/post_process/m_mpi_proxy.fpp
+++ b/src/post_process/m_mpi_proxy.fpp
@@ -170,8 +170,7 @@ contains
             & 'file_per_process', 'relax', 'cf_wrt',                           &
             & 'adv_n', 'ib', 'cfl_adap_dt', 'cfl_const_dt', 'cfl_dt',          &
             & 'surface_tension', 'hyperelasticity', 'bubbles_lagrange',        &
-            & 'rkck_adap_dt', 'output_partial_domain', 'relativity',           &
-            & 'cont_damage' ]
+            & 'output_partial_domain', 'relativity', 'cont_damage' ]
             call MPI_BCAST(${VAR}$, 1, MPI_LOGICAL, 0, MPI_COMM_WORLD, ierr)
         #:endfor
 
diff --git a/src/post_process/m_start_up.f90 b/src/post_process/m_start_up.f90
index 8fece2820b..bfd3cf479e 100644
--- a/src/post_process/m_start_up.f90
+++ b/src/post_process/m_start_up.f90
@@ -83,7 +83,7 @@ subroutine s_read_input_file
             polydisperse, poly_sigma, file_per_process, relax, &
             relax_model, cf_wrt, sigma, adv_n, ib, num_ibs, &
             cfl_adap_dt, cfl_const_dt, t_save, t_stop, n_start, &
-            cfl_target, surface_tension, bubbles_lagrange, rkck_adap_dt, &
+            cfl_target, surface_tension, bubbles_lagrange, &
             sim_data, hyperelasticity, Bx0, relativity, cont_damage
 
         ! Inquiring the status of the post_process.inp file
@@ -113,7 +113,7 @@ subroutine s_read_input_file
 
             nGlobal = (m_glb + 1)*(n_glb + 1)*(p_glb + 1)
 
-            if (cfl_adap_dt .or. cfl_const_dt .or. rkck_adap_dt) cfl_dt = .true.
+            if (cfl_adap_dt .or. cfl_const_dt) cfl_dt = .true.
 
         else
             call s_mpi_abort('File post_process.inp is missing. Exiting.')
diff --git a/src/pre_process/m_global_parameters.fpp b/src/pre_process/m_global_parameters.fpp
index cec3227e2e..516032a3ef 100644
--- a/src/pre_process/m_global_parameters.fpp
+++ b/src/pre_process/m_global_parameters.fpp
@@ -261,10 +261,6 @@ module m_global_parameters
     integer :: chemxb, chemxe
     !> @}
 
-    !> @ lagrangian solver parameters
-    logical :: rkck_adap_dt
-    !> @}
-
     integer, allocatable, dimension(:, :, :) :: logic_grid
 
     type(pres_field) :: pb
@@ -526,9 +522,6 @@ contains
             fluid_pp(i)%G = 0._wp
         end do
 
-        ! Lagrangian solver
-        rkck_adap_dt = .false.
-
         Bx0 = dflt_real
 
     end subroutine s_assign_default_values_to_user_inputs
diff --git a/src/pre_process/m_start_up.fpp b/src/pre_process/m_start_up.fpp
index ee2ed3f30e..b8237f4c05 100644
--- a/src/pre_process/m_start_up.fpp
+++ b/src/pre_process/m_start_up.fpp
@@ -143,8 +143,8 @@ contains
             palpha_eps, ptgalpha_eps, ib, num_ibs, patch_ib, &
             sigma, adv_n, cfl_adap_dt, cfl_const_dt, n_start, &
             n_start_old, surface_tension, hyperelasticity, pre_stress, &
-            rkck_adap_dt, elliptic_smoothing, elliptic_smoothing_iters, &
-            viscous, bubbles_lagrange, Bx0, relativity, cont_damage
+            elliptic_smoothing, elliptic_smoothing_iters, bubbles_lagrange, &
+            viscous, Bx0, relativity, cont_damage
 
         ! Inquiring the status of the pre_process.inp file
         file_loc = 'pre_process.inp'
@@ -171,7 +171,7 @@ contains
 
             nGlobal = (m_glb + 1)*(n_glb + 1)*(p_glb + 1)
 
-            if (cfl_adap_dt .or. cfl_const_dt .or. rkck_adap_dt) cfl_dt = .true.
+            if (cfl_adap_dt .or. cfl_const_dt) cfl_dt = .true.
 
         else
             call s_mpi_abort('File pre_process.inp is missing. Exiting.')
diff --git a/src/simulation/m_acoustic_src.fpp b/src/simulation/m_acoustic_src.fpp
index 6bea353b01..ac37ab0811 100644
--- a/src/simulation/m_acoustic_src.fpp
+++ b/src/simulation/m_acoustic_src.fpp
@@ -158,7 +158,6 @@ contains
         integer, parameter :: mass_label = 1, mom_label = 2
 
         sim_time = t_step*dt
-        if (time_stepper == 4) sim_time = rkck_time_tmp ! Probably create a time_stepper == 5 for the rkck stepper
 
         !$acc parallel loop collapse(3) gang vector default(present)
         do l = 0, p
diff --git a/src/simulation/m_bubbles_EL.fpp b/src/simulation/m_bubbles_EL.fpp
index b48f941a39..f2e8f25591 100644
--- a/src/simulation/m_bubbles_EL.fpp
+++ b/src/simulation/m_bubbles_EL.fpp
@@ -58,10 +58,9 @@ module m_bubbles_EL
     !$acc gas_p, gas_mv, intfc_rad, intfc_vel, mtn_pos, mtn_posPrev, mtn_vel, mtn_s, intfc_draddt, intfc_dveldt, &
     !$acc gas_dpdt, gas_dmvdt, mtn_dposdt, mtn_dveldt)
 
-    real(wp), allocatable, dimension(:, :) :: lag_RKCKcoef   !< RKCK 4th-5th time stepper coefficients
     integer, private :: lag_num_ts                                  !<  Number of time stages in the time-stepping scheme
-
-    !$acc declare create(lag_RKCKcoef, lag_num_ts)
+    
+    !$acc declare create(lag_num_ts)
 
     integer :: nBubs                            !< Number of bubbles in the local domain
     real(wp) :: Rmax_glb, Rmin_glb       !< Maximum and minimum bubbe size in the local domain
@@ -82,7 +81,6 @@ contains
 
         ! Setting number of time-stages for selected time-stepping scheme
         lag_num_ts = time_stepper
-        if (time_stepper == 4) lag_num_ts = num_ts_rkck
 
         ! Allocate space for the Eulerian fields needed to map the effect of the bubbles
         if (lag_params%solver_approach == 1) then
@@ -137,21 +135,6 @@ contains
         @:ALLOCATE(mtn_dposdt(1:nBubs_glb, 1:3, 1:lag_num_ts))
         @:ALLOCATE(mtn_dveldt(1:nBubs_glb, 1:3, 1:lag_num_ts))
 
-        if (time_stepper == 4) then
-            !< Allocate space for the RKCK 4th/5th time stepper coefficients
-            @:ALLOCATE(lag_RKCKcoef(1:lag_num_ts+1, 1:lag_num_ts))
-            do i = 1, lag_num_ts
-                ! Populate RKCK coefficients (from constants)
-                lag_RKCKcoef(1, i) = rkck_coef1(i)
-                lag_RKCKcoef(2, i) = rkck_coef2(i)
-                lag_RKCKcoef(3, i) = rkck_coef3(i)
-                lag_RKCKcoef(4, i) = rkck_coef4(i)
-                lag_RKCKcoef(5, i) = rkck_coef5(i)
-                lag_RKCKcoef(6, i) = rkck_coef6(i)
-                lag_RKCKcoef(7, i) = rkck_coefE(i)
-            end do
-        end if
-
         ! Starting bubbles
         call s_start_lagrange_inputs()
         call s_read_input_bubbles(q_cons_vf)
@@ -270,12 +253,6 @@ contains
         Rmin_glb = max(dflt_real, -dflt_real)
         !$acc update device(Rmax_glb, Rmin_glb)
 
-        if (time_stepper == 4) then
-            !Initial and largest dt - rkck stepper
-            dt_max = dt
-            !$acc update device(lag_RKCKcoef)
-        end if
-
         !$acc update device(dx, dy, dz, x_cb, x_cc, y_cb, y_cc, z_cb, z_cc)
 
         !Populate temporal variables
@@ -1142,244 +1119,6 @@ contains
 
     end subroutine s_update_lagrange_tdv_rk
 
-    !>  This subroutine updates the Euler-Lagrange temporal variables before entering to the next time-stage in the RKCK stepper.
-        !! @param RKstep Current time step in the RKCK adaptive stepper
-        !! @param q_cons_ts Conservative variables
-        !! @param rhs_ts Time derivatives of the conservative variables
-        !! @param lag_largestep Negative radius flag
-    subroutine s_update_tmp_rkck(RKstep, q_cons_ts, rhs_ts, lag_largestep)
-
-        integer, intent(in) :: RKstep
-        type(vector_field), dimension(:), intent(inout) :: q_cons_ts
-        type(vector_field), dimension(:), intent(inout) :: rhs_ts
-        real(wp), intent(out) :: lag_largestep
-
-        integer :: i, j, k, l, q
-        real(wp) :: radiusOld, velOld, aux_glb
-        integer :: remove_id
-
-        call s_transfer_data_to_tmp()
-
-        lag_largestep = 0._wp
-        remove_id = 0
-        !$acc parallel loop gang vector default(present) reduction(+:lag_largestep) &
-        !$acc reduction(MAX: remove_id) copyin(RKstep) copy(lag_largestep, remove_id)
-        do k = 1, nBubs
-
-            radiusOld = intfc_rad(k, 2)
-            velOld = intfc_vel(k, 2)
-
-            !$acc loop seq
-            do i = 1, RKstep
-                intfc_rad(k, 2) = intfc_rad(k, 2) + dt*lag_RKCKcoef(RKstep, i)*intfc_draddt(k, i)
-                intfc_vel(k, 2) = intfc_vel(k, 2) + dt*lag_RKCKcoef(RKstep, i)*intfc_dveldt(k, i)
-                mtn_pos(k, 1:3, 2) = mtn_pos(k, 1:3, 2) + dt*lag_RKCKcoef(RKstep, i)*mtn_dposdt(k, 1:3, i)
-                mtn_vel(k, 1:3, 2) = mtn_vel(k, 1:3, 2) + dt*lag_RKCKcoef(RKstep, i)*mtn_dveldt(k, 1:3, i)
-                gas_p(k, 2) = gas_p(k, 2) + dt*lag_RKCKcoef(RKstep, i)*gas_dpdt(k, i)
-                gas_mv(k, 2) = gas_mv(k, 2) + dt*lag_RKCKcoef(RKstep, i)*gas_dmvdt(k, i)
-            end do
-
-            if ((intfc_rad(k, 2) <= 0._wp) .or. &                       ! no negative radius
-                (mtn_pos(k, 1, 2) /= mtn_pos(k, 1, 2))) then  ! finite bubble location
-                print *, 'Negative bubble radius encountered'
-                lag_largestep = lag_largestep + 1._wp
-                if (dt < 2._wp*verysmall_dt) then
-                    remove_id = max(remove_id, k)
-                end if
-            end if
-
-        end do
-
-        if (remove_id /= 0) call s_remove_lag_bubble(remove_id)
-
-#ifdef MFC_MPI
-        if (num_procs > 1) then
-            call s_mpi_allreduce_sum(lag_largestep, aux_glb)
-            lag_largestep = aux_glb
-        end if
-#endif
-
-        if (lag_largestep > 0._wp) return
-
-        ! Update background fluid variables
-        !$acc parallel loop collapse(4) gang vector default(present) copyin(RKstep)
-        do l = 1, sys_size
-            do k = 0, p
-                do j = 0, n
-                    do i = 0, m
-                        q_cons_ts(2)%vf(l)%sf(i, j, k) = &
-                            q_cons_ts(1)%vf(l)%sf(i, j, k)
-                        !$acc loop seq
-                        do q = 1, RKstep
-                            q_cons_ts(2)%vf(l)%sf(i, j, k) = &
-                                q_cons_ts(2)%vf(l)%sf(i, j, k) + &
-                                dt*lag_RKCKcoef(RKstep, q)*rhs_ts(q)%vf(l)%sf(i, j, k)
-                        end do
-                    end do
-                end do
-            end do
-        end do
-
-    end subroutine s_update_tmp_rkck
-
-    !>  This subroutine calculates the maximum error between the 4th and 5th order Runge-Kutta-Cash-Karp solutions
-        !!      for the same time step size. If the errors are smaller than a tolerance, then the algorithm employs
-        !!      the 5th order solution, while if not, both eulerian/lagrangian variables are re-calculated with a
-        !!      smaller time step size.
-        !! @param rkck_errmax Truncation error
-    subroutine s_calculate_rkck_truncation_error(rkck_errmax)
-
-        real(wp), intent(out) :: rkck_errmax
-
-        real(wp) :: erraux, errb
-        integer :: i, j, k
-
-        rkck_errmax = 0._wp
-        !$acc parallel loop gang vector default(present) reduction(MAX: rkck_errmax) copy(rkck_errmax)
-        do k = 1, nBubs
-            errb = 0._wp
-
-            !Bubble radius error
-            erraux = 0._wp
-            !$acc loop seq
-            do i = 1, lag_num_ts
-                erraux = erraux + lag_RKCKcoef(7, i)*intfc_draddt(k, i)
-            end do
-            errb = max(errb, abs(erraux)*dt/bub_R0(k))
-
-            !Interface velocity error
-            erraux = 0._wp
-            !$acc loop seq
-            do i = 1, lag_num_ts
-                erraux = erraux + lag_RKCKcoef(7, i)*intfc_dveldt(k, i)
-            end do
-            errb = max(errb, abs(erraux)*dt)
-
-            !Bubble velocity error
-            !$acc loop seq
-            do j = 1, 3
-                erraux = 0._wp
-                !$acc loop seq
-                do i = 1, lag_num_ts
-                    erraux = erraux + lag_RKCKcoef(7, i)*mtn_dposdt(k, j, i)
-                end do
-                errb = max(errb, abs(erraux)*dt/(abs(mtn_vel(k, j, 2)) + 1.0d-4))
-            end do
-            rkck_errmax = max(rkck_errmax, errb)
-        end do
-
-    end subroutine s_calculate_rkck_truncation_error
-
-    !>  This subroutine updates the conservative fields and the lagrangian variables after accepting the performed time step.
-        !! @param q_cons_ts Conservative variables
-    subroutine s_update_rkck(q_cons_ts)
-
-        type(vector_field), dimension(:), intent(inout) :: q_cons_ts
-
-        integer :: i, j, k, l
-
-        !$acc parallel loop gang vector default(present) private(k)
-        do k = 1, nBubs
-            !Accept time step (actual vars = temporal vars)
-            mtn_pos(k, 1:3, 1) = mtn_pos(k, 1:3, 2)
-            mtn_vel(k, 1:3, 1) = mtn_vel(k, 1:3, 2)
-            intfc_rad(k, 1) = intfc_rad(k, 2)
-            intfc_vel(k, 1) = intfc_vel(k, 2)
-            gas_p(k, 1) = gas_p(k, 2)
-            gas_mv(k, 1) = gas_mv(k, 2)
-        end do
-
-        !$acc parallel loop collapse(4) gang vector default(present)
-        do i = 0, m
-            do j = 0, n
-                do k = 0, p
-                    do l = 1, sys_size
-                        q_cons_ts(1)%vf(l)%sf(i, j, k) = q_cons_ts(2)%vf(l)%sf(i, j, k)
-                    end do
-                end do
-            end do
-        end do
-
-    end subroutine s_update_rkck
-
-    !>  This subroutine computes the next time step in the adaptive RKCK stepper in the CPU.
-        !! @param lag_largestep Negative radius flag
-        !! @param restart_rkck_step Restart the current time step
-        !! @param rkck_errmax Truncation error
-    subroutine s_compute_rkck_dt(lag_largestep, restart_rkck_step, rkck_errmax)
-
-        real(wp), intent(in) :: lag_largestep
-        logical, intent(out) :: restart_rkck_step
-        real(wp), intent(inout), optional :: rkck_errmax
-
-        real(wp) :: htemp, aux_glb
-
-        restart_rkck_step = .false.
-
-        if (lag_largestep > 0._wp) then ! Encountered negative radius, so reduce dt and restart time step
-
-            if (rkck_adap_dt) then
-                if (dt > verysmall_dt) then
-                    restart_rkck_step = .true.
-                    dt = SHRNKDT*dt
-                    if (num_procs > 1) then
-                        call s_mpi_allreduce_min(dt, aux_glb)
-                        dt = aux_glb
-                    end if
-                    !$acc update device(dt)
-                    if (proc_rank == 0) print *, '>>>>> WARNING: Reducing dt and restarting time step, now dt: ', dt
-                else
-                    call s_mpi_abort('Time step smaller than 1e-14')
-                end if
-            else
-                call s_mpi_abort('Time step too large, please reduce dt or enable rkck_adap_dt')
-            end if
-
-            return
-
-        end if
-
-        if (rkck_adap_dt) then ! Checking truncation error
-
-            rkck_errmax = min(rkck_errmax, 1._wp)
-            if (num_procs > 1) then
-                call s_mpi_allreduce_max(rkck_errmax, aux_glb)
-                rkck_errmax = aux_glb
-            end if
-            rkck_errmax = rkck_errmax/rkck_tolerance ! Scale relative to user required tolerance.
-
-            if ((rkck_errmax > 1._wp)) then   ! Truncation error too large, reduce dt and restart time step
-                restart_rkck_step = .true.
-                htemp = SAFETY*dt*(rkck_errmax**PSHRNK)
-                dt = sign(max(abs(htemp), (1._wp - SAFETY)*abs(dt)), dt)  ! No more than a factor of 10.
-            else                            ! Step succeeded. Compute size of next step.
-                if (rkck_errmax > ERRCON) then
-                    dt = SAFETY*dt*(rkck_errmax**PGROW) ! No more than a factor of 5 increase.
-                else
-                    dt = (1._wp/SHRNKDT)*dt ! Truncation error too small (< 1.89e-4), increase time step
-                end if
-            end if
-
-            !dt precision accuracy is 16 digits
-            dt = (ceiling(dt*RNDDEC)*RNDDEC + ceiling(dt*(RNDDEC**2._wp) - ceiling(dt*RNDDEC)*RNDDEC))/(RNDDEC**2._wp)
-            dt = min(dt, dt_max)
-
-            if (dt < 0._wp) call s_mpi_abort('dt must not be negative')
-            if (num_procs > 1) then
-                call s_mpi_allreduce_min(dt, aux_glb)
-                dt = aux_glb
-            end if
-            !$acc update device(dt)
-
-            if (restart_rkck_step) then
-                if (proc_rank == 0) print '("WARNING: Truncation error found. Restaring time step, and now dt = "ES8.6"")', &
-                    dt
-            end if
-
-        end if
-
-    end subroutine s_compute_rkck_dt
-
     !> This subroutine returns the computational coordinate of the cell for the given position.
           !! @param pos Input coordinates
           !! @param cell Computational coordinate of the cell
@@ -1932,9 +1671,6 @@ contains
         @:DEALLOCATE(q_beta%vf)
 
         !Deallocating space
-        if (time_stepper == 4) then
-            @:DEALLOCATE(lag_RKCKcoef)
-        end if
         @:DEALLOCATE(lag_id)
         @:DEALLOCATE(bub_R0)
         @:DEALLOCATE(Rmax_stats)
diff --git a/src/simulation/m_checker.fpp b/src/simulation/m_checker.fpp
index f3fe8eb6d5..1ad61af341 100644
--- a/src/simulation/m_checker.fpp
+++ b/src/simulation/m_checker.fpp
@@ -115,7 +115,7 @@ contains
         if (.not. cfl_dt) then
             @:PROHIBIT(dt <= 0)
         end if
-        @:PROHIBIT(time_stepper < 1 .or. time_stepper > 5)
+        @:PROHIBIT(time_stepper < 1 .or. time_stepper > 4)
     end subroutine s_check_inputs_time_stepping
 
     !> Checks constraints on parameters related to 6-equation model
diff --git a/src/simulation/m_global_parameters.fpp b/src/simulation/m_global_parameters.fpp
index e9d8d0e3e8..9c4c71671f 100644
--- a/src/simulation/m_global_parameters.fpp
+++ b/src/simulation/m_global_parameters.fpp
@@ -479,10 +479,7 @@ module m_global_parameters
     !> @{!
     logical :: bubbles_lagrange                         !< Lagrangian subgrid bubble model switch
     type(bubbles_lagrange_parameters) :: lag_params     !< Lagrange bubbles' parameters
-    logical :: rkck_adap_dt                             !< Activates the adaptive rkck time stepping algorithm
-    real(wp) :: rkck_time_tmp, rkck_tolerance    !Temp time (in rkck stepper) and tolerance error
-    real(wp) :: dt_max                           !< Maximum time step size
-    !$acc declare create(bubbles_lagrange, lag_params, rkck_adap_dt, dt_max, rkck_time_tmp, rkck_tolerance)
+    !$acc declare create(bubbles_lagrange, lag_params)
     !> @}
 
     real(wp) :: Bx0 !< Constant magnetic field in the x-direction (1D)
@@ -748,10 +745,6 @@ contains
         lag_params%Thost = dflt_real
         lag_params%x0 = dflt_real
         lag_params%diffcoefvap = dflt_real
-        rkck_adap_dt = .false.
-        rkck_time_tmp = dflt_real
-        rkck_tolerance = dflt_real
-        dt_max = dflt_real
 
         ! Continuum damage model
         tau_star = dflt_real
diff --git a/src/simulation/m_mpi_proxy.fpp b/src/simulation/m_mpi_proxy.fpp
index 9dd922f36b..69843876cd 100644
--- a/src/simulation/m_mpi_proxy.fpp
+++ b/src/simulation/m_mpi_proxy.fpp
@@ -136,7 +136,7 @@ contains
             & 'bc_z%grcbc_in', 'bc_z%grcbc_out', 'bc_z%grcbc_vel_out',          &
             & 'cfl_adap_dt', 'cfl_const_dt', 'cfl_dt', 'surface_tension',        &
             & 'viscous', 'shear_stress', 'bulk_stress', 'bubbles_lagrange',     &
-            & 'hyperelasticity', 'rkck_adap_dt', 'powell', 'cont_damage' ]
+            & 'hyperelasticity', 'powell', 'cont_damage' ]
             call MPI_BCAST(${VAR}$, 1, MPI_LOGICAL, 0, MPI_COMM_WORLD, ierr)
         #:endfor
 
@@ -174,7 +174,7 @@ contains
             & 'bc_x%pres_in','bc_x%pres_out','bc_y%pres_in','bc_y%pres_out', 'bc_z%pres_in','bc_z%pres_out', &
             & 'x_domain%beg', 'x_domain%end', 'y_domain%beg', 'y_domain%end',    &
             & 'z_domain%beg', 'z_domain%end', 'x_a', 'x_b', 'y_a', 'y_b', 'z_a', &
-            & 'z_b', 't_stop', 't_save', 'cfl_target', 'rkck_tolerance', 'Bx0',  &
+            & 'z_b', 't_stop', 't_save', 'cfl_target', 'Bx0',  &
             & 'tau_star', 'cont_damage_s', 'alpha_bar' ]
             call MPI_BCAST(${VAR}$, 1, mpi_p, 0, MPI_COMM_WORLD, ierr)
         #:endfor
diff --git a/src/simulation/m_start_up.fpp b/src/simulation/m_start_up.fpp
index 0606ad5ce1..5e77595bfc 100644
--- a/src/simulation/m_start_up.fpp
+++ b/src/simulation/m_start_up.fpp
@@ -174,7 +174,6 @@ contains
             cfl_adap_dt, cfl_const_dt, cfl_target, &
             viscous, surface_tension, &
             bubbles_lagrange, lag_params, &
-            rkck_adap_dt, rkck_tolerance, &
             hyperelasticity, R0ref, Bx0, powell, &
             cont_damage, tau_star, cont_damage_s, alpha_bar
 
@@ -208,7 +207,7 @@ contains
             n_glb = n
             p_glb = p
 
-            if (cfl_adap_dt .or. cfl_const_dt .or. rkck_adap_dt) cfl_dt = .true.
+            if (cfl_adap_dt .or. cfl_const_dt) cfl_dt = .true.
 
         else
             call s_mpi_abort(trim(file_path)//' is missing. Exiting.')
@@ -1231,13 +1230,13 @@ contains
         integer :: i
 
         if (cfl_dt) then
-            if (cfl_const_dt .and. t_step == 0 .and. .not. rkck_adap_dt) call s_compute_dt()
+            if (cfl_const_dt .and. t_step == 0) call s_compute_dt()
 
-            if (cfl_adap_dt .and. .not. rkck_adap_dt) call s_compute_dt()
+            if (cfl_adap_dt) call s_compute_dt()
 
             if (t_step == 0) dt_init = dt
 
-            if (dt < 1e-3_wp*dt_init .and. cfl_adap_dt .and. proc_rank == 0 .and. .not. rkck_adap_dt) then
+            if (dt < 1e-3_wp*dt_init .and. cfl_adap_dt .and. proc_rank == 0) then
                 print*, "Delta t = ", dt
                 call s_mpi_abort("Delta t has become too small")
             end if
@@ -1297,9 +1296,6 @@ contains
             call s_3rd_order_tvd_rk(t_step, time_avg)
         elseif (time_stepper == 3 .and. adap_dt) then
             call s_strang_splitting(t_step, time_avg)
-        elseif (time_stepper == 4) then
-            ! (Adaptive) 4th/5th order Runge—Kutta–Cash–Karp (RKCK) time-stepper (Cash J. and Karp A., 1990)
-            call s_4th_5th_order_rkck(t_step, time_avg)
         end if
 
         if (relax) call s_infinite_relaxation_k(q_cons_ts(1)%vf)
diff --git a/src/simulation/m_time_steppers.fpp b/src/simulation/m_time_steppers.fpp
index 045dfda597..891123f1a9 100644
--- a/src/simulation/m_time_steppers.fpp
+++ b/src/simulation/m_time_steppers.fpp
@@ -55,10 +55,6 @@ module m_time_steppers
     type(scalar_field), allocatable, dimension(:) :: rhs_vf !<
     !! Cell-average RHS variables at the current time-stage
 
-    type(vector_field), allocatable, dimension(:) :: rhs_ts_rkck
-    !! Cell-average RHS variables at each time-stage (TS)
-    !! Adaptive 4th/5th order Runge—Kutta–Cash–Karp (RKCK) time stepper
-
     type(vector_field), allocatable, dimension(:) :: q_prim_ts !<
     !! Cell-average primitive variables at consecutive TIMESTEPS
 
@@ -74,7 +70,7 @@ module m_time_steppers
     integer, private :: num_ts !<
     !! Number of time stages in the time-stepping scheme
 
-    !$acc declare create(q_cons_ts, q_prim_vf, q_T_sf, rhs_vf, rhs_ts_rkck, q_prim_ts, rhs_mv, rhs_pb, max_dt)
+    !$acc declare create(q_cons_ts, q_prim_vf, q_T_sf, rhs_vf, q_prim_ts, rhs_mv, rhs_pb, max_dt)
 
 contains
 
@@ -88,7 +84,7 @@ contains
         ! Setting number of time-stages for selected time-stepping scheme
         if (time_stepper == 1) then
             num_ts = 1
-        elseif (any(time_stepper == (/2, 3, 4/))) then
+        elseif (any(time_stepper == (/2, 3/))) then
             num_ts = 2
         end if
 
@@ -283,27 +279,13 @@ contains
                 idwbuff(3)%beg:idwbuff(3)%beg + 1, 1:nnode, 1:nb))
         end if
 
-        ! Allocating the cell-average RHS time-stages for adaptive RKCK stepper
-        if (bubbles_lagrange .and. time_stepper == 4) then
-            @:ALLOCATE(rhs_ts_rkck(1:num_ts_rkck))
-            do i = 1, num_ts_rkck
-                @:ALLOCATE(rhs_ts_rkck(i)%vf(1:sys_size))
-            end do
-            do i = 1, num_ts_rkck
-                do j = 1, sys_size
-                    @:ALLOCATE(rhs_ts_rkck(i)%vf(j)%sf(0:m, 0:n, 0:p))
-                end do
-                @:ACC_SETUP_VFs(rhs_ts_rkck(i))
-            end do
-        else
-            ! Allocating the cell-average RHS variables
-            @:ALLOCATE(rhs_vf(1:sys_size))
+        ! Allocating the cell-average RHS variables
+        @:ALLOCATE(rhs_vf(1:sys_size))
 
-            do i = 1, sys_size
-                @:ALLOCATE(rhs_vf(i)%sf(0:m, 0:n, 0:p))
-                @:ACC_SETUP_SFs(rhs_vf(i))
-            end do
-        end if
+        do i = 1, sys_size
+            @:ALLOCATE(rhs_vf(i)%sf(0:m, 0:n, 0:p))
+            @:ACC_SETUP_SFs(rhs_vf(i))
+        end do
 
         ! Opening and writing the header of the run-time information file
         if (proc_rank == 0 .and. run_time_info) then
@@ -1057,148 +1039,6 @@ contains
 
     end subroutine s_time_step_cycling
 
-    !> (Adaptive) 4th/5th order Runge—Kutta–Cash–Karp (RKCK) time-stepping algorithm (Cash J. and Karp A., 1990)
-        !!      Method for initial value problems with rapidly varying RHS. A maximum error between the 4th and 5th
-        !!      order Runge-Kutta-Cash-Karp solutions for the same time step size is calculated. If the error is
-        !!      smaller than a tolerance, then the algorithm employs the 5th order solution, while if not, both
-        !!      eulerian/lagrangian variables are re-calculated with a smaller time step size.
-        !! @param t_step Current time-step
-        !! @param hdid Advanced time increment (adaptive time stepping)
-    subroutine s_4th_5th_order_rkck(t_step, time_avg)
-
-        integer, intent(in) :: t_step
-        real(wp), intent(out) :: time_avg
-
-        logical :: restart_rkck_step, start_rkck_step
-        real(wp) :: lag_largestep, rkck_errmax, dt_did
-        integer :: RKstep
-
-        mytime = mytime - dt
-
-        start_rkck_step = .true.
-        restart_rkck_step = .false.
-
-        do while (start_rkck_step .or. restart_rkck_step)
-
-            start_rkck_step = .false.
-            restart_rkck_step = .false.
-
-            ! FIRST TIME-STAGE
-            RKstep = 1
-            rkck_time_tmp = mytime + rkck_c1*dt
-!$acc update device (rkck_time_tmp)
-
-#ifdef DEBUG
-            if (proc_rank == 0) print *, 'RKCK 1st time-stage at', rkck_time_tmp
-#endif
-            call s_compute_rhs(q_cons_ts(1)%vf, q_T_sf, q_prim_vf, rhs_ts_rkck(1)%vf, pb_ts(1)%sf, rhs_pb, mv_ts(1)%sf, rhs_mv, t_step, time_avg)
-            call s_compute_EL_coupled_solver(q_cons_ts(1)%vf, q_prim_vf, rhs_ts_rkck(1)%vf, RKstep)
-            call s_update_tmp_rkck(RKstep, q_cons_ts, rhs_ts_rkck, lag_largestep)
-            if (lag_largestep > 0._wp) call s_compute_rkck_dt(lag_largestep, restart_rkck_step)
-            if (restart_rkck_step) cycle
-
-            ! SECOND TIME-STAGE
-            RKstep = 2
-            rkck_time_tmp = mytime + rkck_c2*dt
-!$acc update device (rkck_time_tmp)
-
-#ifdef DEBUG
-            if (proc_rank == 0) print *, 'RKCK 2nd time-stage at', rkck_time_tmp
-#endif
-            call s_compute_rhs(q_cons_ts(2)%vf, q_T_sf, q_prim_vf, rhs_ts_rkck(2)%vf, pb_ts(1)%sf, rhs_pb, mv_ts(1)%sf, rhs_mv, t_step, time_avg)
-            call s_compute_EL_coupled_solver(q_cons_ts(2)%vf, q_prim_vf, rhs_ts_rkck(2)%vf, RKstep)
-            call s_update_tmp_rkck(RKstep, q_cons_ts, rhs_ts_rkck, lag_largestep)
-            if (lag_largestep > 0._wp) call s_compute_rkck_dt(lag_largestep, restart_rkck_step)
-            if (restart_rkck_step) cycle
-
-            ! THIRD TIME-STAGE
-            RKstep = 3
-            rkck_time_tmp = mytime + rkck_c3*dt
-!$acc update device (rkck_time_tmp)
-
-#ifdef DEBUG
-            if (proc_rank == 0) print *, 'RKCK 3rd time-stage at', rkck_time_tmp
-#endif
-            call s_compute_rhs(q_cons_ts(2)%vf, q_T_sf, q_prim_vf, rhs_ts_rkck(3)%vf, pb_ts(1)%sf, rhs_pb, mv_ts(1)%sf, rhs_mv, t_step, time_avg)
-            call s_compute_EL_coupled_solver(q_cons_ts(2)%vf, q_prim_vf, rhs_ts_rkck(3)%vf, RKstep)
-            call s_update_tmp_rkck(RKstep, q_cons_ts, rhs_ts_rkck, lag_largestep)
-            if (lag_largestep > 0._wp) call s_compute_rkck_dt(lag_largestep, restart_rkck_step)
-            if (restart_rkck_step) cycle
-
-            ! FOURTH TIME-STAGE
-            RKstep = 4
-            rkck_time_tmp = mytime + rkck_c4*dt
-!$acc update device (rkck_time_tmp)
-
-#ifdef DEBUG
-            if (proc_rank == 0) print *, 'RKCK 4th time-stage at', rkck_time_tmp
-#endif
-            call s_compute_rhs(q_cons_ts(2)%vf, q_T_sf, q_prim_vf, rhs_ts_rkck(4)%vf, pb_ts(1)%sf, rhs_pb, mv_ts(1)%sf, rhs_mv, t_step, time_avg)
-            call s_compute_EL_coupled_solver(q_cons_ts(2)%vf, q_prim_vf, rhs_ts_rkck(4)%vf, RKstep)
-            call s_update_tmp_rkck(RKstep, q_cons_ts, rhs_ts_rkck, lag_largestep)
-            if (lag_largestep > 0._wp) call s_compute_rkck_dt(lag_largestep, restart_rkck_step)
-            if (restart_rkck_step) cycle
-
-            ! FIFTH TIME-STAGE
-            RKstep = 5
-            rkck_time_tmp = mytime + rkck_c5*dt
-!$acc update device (rkck_time_tmp)
-
-#ifdef DEBUG
-            if (proc_rank == 0) print *, 'RKCK 5th time-stage at', rkck_time_tmp
-#endif
-            call s_compute_rhs(q_cons_ts(2)%vf, q_T_sf, q_prim_vf, rhs_ts_rkck(5)%vf, pb_ts(1)%sf, rhs_pb, mv_ts(1)%sf, rhs_mv, t_step, time_avg)
-            call s_compute_EL_coupled_solver(q_cons_ts(2)%vf, q_prim_vf, rhs_ts_rkck(5)%vf, 5)
-            call s_update_tmp_rkck(5, q_cons_ts, rhs_ts_rkck, lag_largestep)
-            if (lag_largestep > 0._wp) call s_compute_rkck_dt(lag_largestep, restart_rkck_step)
-            if (restart_rkck_step) cycle
-
-            ! SIXTH TIME-STAGE
-            RKstep = 6
-            rkck_time_tmp = mytime + rkck_c6*dt
-!$acc update device (rkck_time_tmp)
-
-#ifdef DEBUG
-            if (proc_rank == 0) print *, 'RKCK 6th time-stage at', rkck_time_tmp
-#endif
-            call s_compute_rhs(q_cons_ts(2)%vf, q_T_sf, q_prim_vf, rhs_ts_rkck(6)%vf, pb_ts(1)%sf, rhs_pb, mv_ts(1)%sf, rhs_mv, t_step, time_avg)
-            call s_compute_EL_coupled_solver(q_cons_ts(2)%vf, q_prim_vf, rhs_ts_rkck(6)%vf, 6)
-            call s_update_tmp_rkck(6, q_cons_ts, rhs_ts_rkck, lag_largestep)
-            if (lag_largestep > 0._wp) call s_compute_rkck_dt(lag_largestep, restart_rkck_step)
-            if (restart_rkck_step) cycle
-
-            dt_did = dt
-
-            if (rkck_adap_dt) then
-                ! TRUNCATION ERROR
-#ifdef DEBUG
-                if (proc_rank == 0) print *, 'Computing truncation error (4th/5th RKCK)'
-#endif
-                call s_calculate_rkck_truncation_error(rkck_errmax)
-                call s_compute_rkck_dt(lag_largestep, restart_rkck_step, rkck_errmax)
-                if (restart_rkck_step) cycle
-            end if
-
-        end do
-
-        !> Update values
-        mytime = mytime + dt_did
-        call s_update_rkck(q_cons_ts)
-
-        call s_write_void_evol(mytime)
-        if (lag_params%write_bubbles_stats) call s_calculate_lag_bubble_stats()
-
-        if (lag_params%write_bubbles) then
-            !$acc update host(gas_p, gas_mv, intfc_rad, intfc_vel)
-            call s_write_lag_particles(mytime)
-        end if
-
-        if (run_time_info) then
-            call s_write_run_time_information(q_prim_vf, t_step)
-        end if
-
-    end subroutine s_4th_5th_order_rkck
-
     !> Module deallocation and/or disassociation procedures
     subroutine s_finalize_time_steppers_module
 
@@ -1269,23 +1109,12 @@ contains
 
         @:DEALLOCATE(q_prim_vf)
 
-        ! Deallocating the cell-average RHS variable for adaptive method, Lagrangian solver
-        if (bubbles_lagrange .and. time_stepper == 4) then ! RKCK stepper
-            do i = 1, num_ts_rkck
-                do j = 1, sys_size
-                    @:DEALLOCATE(rhs_ts_rkck(i)%vf(j)%sf)
-                end do
-                @:DEALLOCATE(rhs_ts_rkck(i)%vf)
-            end do
-            @:DEALLOCATE(rhs_ts_rkck)
-        else
-            ! Deallocating the cell-average RHS variables
-            do i = 1, sys_size
-                @:DEALLOCATE(rhs_vf(i)%sf)
-            end do
+        ! Deallocating the cell-average RHS variables
+        do i = 1, sys_size
+            @:DEALLOCATE(rhs_vf(i)%sf)
+        end do
 
-            @:DEALLOCATE(rhs_vf)
-        end if
+        @:DEALLOCATE(rhs_vf)
 
         ! Writing the footer of and closing the run-time information file
         if (proc_rank == 0 .and. run_time_info) then
diff --git a/toolchain/mfc/test/case.py b/toolchain/mfc/test/case.py
index 094bd2bb1d..3720aaee49 100644
--- a/toolchain/mfc/test/case.py
+++ b/toolchain/mfc/test/case.py
@@ -92,8 +92,6 @@
     'rdma_mpi'                          : 'F',
 
     'bubbles_lagrange'                 : 'F',
-    'rkck_adap_dt'                     : 'F',
-    'rkck_tolerance'                   : 1.0e-09,
     'lag_params%nBubs_glb'             : 1,
     'lag_params%solver_approach'       : 0,
     'lag_params%cluster_type'          : 2,
diff --git a/toolchain/mfc/test/cases.py b/toolchain/mfc/test/cases.py
index 8ff3f91164..625009baf2 100644
--- a/toolchain/mfc/test/cases.py
+++ b/toolchain/mfc/test/cases.py
@@ -801,7 +801,7 @@ def alter_viscosity(dimInfo):
 
     def alter_lag_bubbles():
         # Lagrangian bubbles
-        for adap_dt in ['F', 'T']:
+        for adap_dt in ['F']:
             for couplingMethod in [1, 2]:
                 stack.push("Lagrange bubbles", {"bubbles_lagrange": 'T',
                     'dt': 1e-06, 'lag_params%pressure_corrector': 'T', 'bubble_model': 2,
@@ -817,7 +817,8 @@ def alter_lag_bubbles():
                     'patch_icpp(2)%alpha(2)': 0.,  'patch_icpp(3)%alpha_rho(1)': 0.96, 'patch_icpp(3)%alpha(1)': 4e-02,
                     'patch_icpp(3)%alpha_rho(2)': 0., 'patch_icpp(3)%alpha(2)': 0.,'patch_icpp(1)%pres': 1.0,
                     'patch_icpp(2)%pres': 1.0, 'patch_icpp(3)%pres': 1.0, 'acoustic_source': 'T', 'acoustic(1)%loc(2)': 0.5,
-                    'acoustic(1)%wavelength': 0.25, 'acoustic(1)%support': 3, 'acoustic(1)%height': 1e10
+                    'acoustic(1)%wavelength': 0.25, 'acoustic(1)%support': 3, 'acoustic(1)%height': 1e10, 
+                    'acoustic(1)%mag': 2e+04, 't_step_start': 0, 't_step_stop': 50, 't_step_save': 50
                 })
                 if couplingMethod==1:
                     stack.push('One-way coupling',{'lag_params%solver_approach': 1})
@@ -825,10 +826,9 @@ def alter_lag_bubbles():
                     stack.push('Two-way coupling',{'lag_params%solver_approach': 2})
 
                 if adap_dt=='F':
-                    stack.push('',{'acoustic(1)%mag': 2e+04, 't_step_start': 0, 't_step_stop': 50, 't_step_save': 50})
+                    stack.push('',{})
                 else:
-                    stack.push('rkck stepper',{'rkck_adap_dt': 'F', 'time_stepper': 4,
-                            'acoustic(1)%mag': 6e+04, 'n_start': 0, 't_save': 5e-05, 't_stop': 5e-05})
+                    stack.push('adap_dt=T',{'adap_dt': 'T'})
 
                 cases.append(define_case_d(stack, '', {}))
 
@@ -902,7 +902,7 @@ def foreach_example():
                 continue
 
             # # List of currently broken examples -> currently attempting to fix!
-            brokenCases = ["2D_ibm_cfl_dt", "1D_sodHypo", "2D_viscous", "2D_laplace_pressure_jump", "2D_bubbly_steady_shock", "2D_advection", "2D_hardcodied_ic", "2D_ibm_multiphase", "2D_acoustic_broadband", "1D_inert_shocktube", "1D_reactive_shocktube", "2D_ibm_steady_shock", "3D_performance_test", "3D_ibm_stl_ellipsoid", "3D_sphbubcollapse", "2D_ibm_stl_wedge", "3D_ibm_stl_pyramid", "3D_ibm_bowshock", "3D_turb_mixing", "2D_mixing_artificial_Ma", "3D_lagrange_bubblescreen", "2D_triple_point"]
+            brokenCases = ["2D_ibm_cfl_dt", "1D_sodHypo", "2D_viscous", "2D_laplace_pressure_jump", "2D_bubbly_steady_shock", "2D_advection", "2D_hardcodied_ic", "2D_ibm_multiphase", "2D_acoustic_broadband", "1D_inert_shocktube", "1D_reactive_shocktube", "2D_ibm_steady_shock", "3D_performance_test", "3D_ibm_stl_ellipsoid", "3D_sphbubcollapse", "2D_ibm_stl_wedge", "3D_ibm_stl_pyramid", "3D_ibm_bowshock", "3D_turb_mixing", "2D_mixing_artificial_Ma", "3D_lagrange_bubblescreen", "3D_lagrange_shbubcollapse","2D_triple_point"]
             if path in brokenCases:
                 continue
             name = f"{path.split('_')[0]} -> Example -> {'_'.join(path.split('_')[1:])}"
@@ -928,9 +928,6 @@ def modify_example_case(case: dict):
                         case['n'] = 25
                         case['p'] = 25
 
-                if 'rkck_adap_dt' in case and case['rkck_adap_dt'] == 'T':
-                    case['rkck_adap_dt'] = 'F'
-
             cases.append(define_case_f(name, path, [], {}, functor=modify_example_case))
 
     def chemistry_cases():

From e927790ba0f3c2afaec15b437a172dc15270541f Mon Sep 17 00:00:00 2001
From: Diego Vaca <diegovaca@autoreg-6682246.dyn.wpi.edu>
Date: Tue, 29 Apr 2025 11:38:41 -0400
Subject: [PATCH 02/10] Remove stop commands from GPU regions

---
 src/simulation/m_bubbles_EL.fpp         | 38 ++++++++++---------------
 src/simulation/m_bubbles_EL_kernels.fpp | 36 ++++-------------------
 src/simulation/m_checker.fpp            |  1 +
 src/simulation/m_start_up.fpp           | 10 ++++++-
 4 files changed, 31 insertions(+), 54 deletions(-)

diff --git a/src/simulation/m_bubbles_EL.fpp b/src/simulation/m_bubbles_EL.fpp
index f2e8f25591..e07ded2c38 100644
--- a/src/simulation/m_bubbles_EL.fpp
+++ b/src/simulation/m_bubbles_EL.fpp
@@ -234,7 +234,7 @@ contains
                 end do
                 close (94)
             else
-                stop "if you include lagrange bubbles, you have to initialize them in input/lag_bubbles.dat"
+                stop "Lagrange bubbles: you have to initialize them in input/lag_bubbles.dat"
             end if
         else
             if (proc_rank == 0) print *, 'Restarting lagrange bubbles at save_count: ', save_count
@@ -315,6 +315,16 @@ contains
         cell = -buff_size
         call s_locate_cell(mtn_pos(bub_id, 1:3, 1), cell, mtn_s(bub_id, 1:3, 1))
 
+        ! Check if the bubble is located in the ghost cell of a symmetric boundary
+        if (bc_x%beg == -2 .and. cell(1) < 0) stop "Lagrange bubble is in the ghost cells of a symmetric boundary (bc_x%beg)."
+        if (bc_x%end == -2 .and. cell(1) > m) stop "Lagrange bubble is in the ghost cells of a symmetric boundary (bc_x%end)."
+        if (bc_y%beg == -2 .and. cell(2) < 0) stop "Lagrange bubble is in the ghost cells of a symmetric boundary (bc_y%beg)."
+        if (bc_y%end == -2 .and. cell(2) > n) stop "Lagrange bubble is in the ghost cells of a symmetric boundary (bc_y%end)."
+        if (p > 0) then
+            if (bc_z%beg == -2 .and. cell(3) < 0) stop "Lagrange bubble is in the ghost cells of a symmetric boundary (bc_z%beg)."
+            if (bc_z%end == -2 .and. cell(3) > p) stop "Lagrange bubble is in the ghost cells of a symmetric boundary (bc_z%end)."
+        end if
+
         ! If particle is in the ghost cells, find the closest non-ghost cell
         cell(1) = min(max(cell(1), 0), m)
         cell(2) = min(max(cell(2), 0), n)
@@ -343,7 +353,7 @@ contains
         gas_mv(bub_id, 1) = pv*volparticle*(1._wp/(R_v*Tw))*(massflag) ! vapermass
         gas_mg(bub_id) = (gas_p(bub_id, 1) - pv*(massflag))*volparticle*(1._wp/(R_n*Tw)) ! gasmass
         if (gas_mg(bub_id) <= 0._wp) then
-            stop 'the initial mass of gas inside the bubble is negative. Check your initial conditions'
+            stop 'The initial mass of gas inside the bubble is negative. Check your initial conditions'
         end if
         totalmass = gas_mg(bub_id) + gas_mv(bub_id, 1) ! totalmass
 
@@ -351,9 +361,7 @@ contains
         concvap = gas_mv(bub_id, 1)/(gas_mv(bub_id, 1) + gas_mg(bub_id))
         omegaN = (3._wp*(gas_p(bub_id, 1) - pv*(massflag)) + 4._wp*(1._wp/Web)/bub_R0(bub_id))/rhol
         if (pv*(massflag) > gas_p(bub_id, 1)) then
-            print *, 'Not allowed: bubble initially located in a region with pressure below the vapor pressure'
-            print *, 'location:', mtn_pos(bub_id, 1:3, 1)
-            stop
+            stop "Lagrange bubble initially located in a region with pressure below the vapor pressure."
         end if
         omegaN = sqrt(omegaN/bub_R0(bub_id)**2._wp)
 
@@ -794,7 +802,7 @@ contains
         real(wp) :: charvol, charpres, charvol2, charpres2
         integer, dimension(3) :: cellaux
         integer :: i, j, k
-        integer :: mapCells_pinf, smearGrid, smearGridz
+        integer :: smearGrid, smearGridz
         logical :: celloutside
 
         scoord = mtn_s(bub_id, 1:3, 2)
@@ -882,15 +890,8 @@ contains
         else if (lag_params%cluster_type >= 2) then
             ! Bubble dynamic closure from Maeda and Colonius (2018)
 
-            ! Range of cells included in Omega
-            if (lag_params%smooth_type == 1) then
-                mapCells_pinf = mapCells
-            else
-                stop "lag_params%cluster_type: 2 requires lag_params%smooth_type: 1."
-            end if
-
             ! Include the cell that contains the bubble (mapCells+1+mapCells)
-            smearGrid = mapCells_pinf - (-mapCells_pinf) + 1
+            smearGrid = mapCells - (-mapCells) + 1
             smearGridz = smearGrid
             if (p == 0) smearGridz = 1
 
@@ -964,9 +965,6 @@ contains
             f_pinfl = charpres2/charvol2
             vol = charvol
             dc = (3._wp*abs(vol)/(4._wp*pi))**(1._wp/3._wp)
-        else
-
-            stop "Check cluterflag. Exiting."
 
         end if
 
@@ -1015,7 +1013,6 @@ contains
                 mtn_vel(k, 1:3, 1) = mtn_vel(k, 1:3, 1) + dt*mtn_dveldt(k, 1:3, 1)
                 gas_p(k, 1) = gas_p(k, 1) + dt*gas_dpdt(k, 1)
                 gas_mv(k, 1) = gas_mv(k, 1) + dt*gas_dmvdt(k, 1)
-                if (intfc_rad(k, 1) <= 0._wp) stop "Negative bubble radius encountered, please reduce dt"
             end do
 
             call s_transfer_data_to_tmp()
@@ -1038,7 +1035,6 @@ contains
                     mtn_vel(k, 1:3, 2) = mtn_vel(k, 1:3, 1) + dt*mtn_dveldt(k, 1:3, 1)
                     gas_p(k, 2) = gas_p(k, 1) + dt*gas_dpdt(k, 1)
                     gas_mv(k, 2) = gas_mv(k, 1) + dt*gas_dmvdt(k, 1)
-                    if (intfc_rad(k, 2) <= 0._wp) stop "Negative bubble radius encountered, please reduce dt"
                 end do
 
             elseif (stage == 2) then
@@ -1051,7 +1047,6 @@ contains
                     mtn_vel(k, 1:3, 1) = mtn_vel(k, 1:3, 1) + dt*(mtn_dveldt(k, 1:3, 1) + mtn_dveldt(k, 1:3, 2))/2._wp
                     gas_p(k, 1) = gas_p(k, 1) + dt*(gas_dpdt(k, 1) + gas_dpdt(k, 2))/2._wp
                     gas_mv(k, 1) = gas_mv(k, 1) + dt*(gas_dmvdt(k, 1) + gas_dmvdt(k, 2))/2._wp
-                    if (intfc_rad(k, 1) <= 0._wp) stop "Negative bubble radius encountered, please reduce dt"
                 end do
 
                 call s_transfer_data_to_tmp()
@@ -1076,7 +1071,6 @@ contains
                     mtn_vel(k, 1:3, 2) = mtn_vel(k, 1:3, 1) + dt*mtn_dveldt(k, 1:3, 1)
                     gas_p(k, 2) = gas_p(k, 1) + dt*gas_dpdt(k, 1)
                     gas_mv(k, 2) = gas_mv(k, 1) + dt*gas_dmvdt(k, 1)
-                    if (intfc_rad(k, 2) <= 0._wp) stop "Negative bubble radius encountered, please reduce dt"
                 end do
 
             elseif (stage == 2) then
@@ -1089,7 +1083,6 @@ contains
                     mtn_vel(k, 1:3, 2) = mtn_vel(k, 1:3, 1) + dt*(mtn_dveldt(k, 1:3, 1) + mtn_dveldt(k, 1:3, 2))/4._wp
                     gas_p(k, 2) = gas_p(k, 1) + dt*(gas_dpdt(k, 1) + gas_dpdt(k, 2))/4._wp
                     gas_mv(k, 2) = gas_mv(k, 1) + dt*(gas_dmvdt(k, 1) + gas_dmvdt(k, 2))/4._wp
-                    if (intfc_rad(k, 2) <= 0._wp) stop "Negative bubble radius encountered, please reduce dt"
                 end do
             elseif (stage == 3) then
                 !$acc parallel loop gang vector default(present) private(k)
@@ -1101,7 +1094,6 @@ contains
                     mtn_vel(k, 1:3, 1) = mtn_vel(k, 1:3, 1) + (2._wp/3._wp)*dt*(mtn_dveldt(k, 1:3, 1)/4._wp + mtn_dveldt(k, 1:3, 2)/4._wp + mtn_dveldt(k, 1:3, 3))
                     gas_p(k, 1) = gas_p(k, 1) + (2._wp/3._wp)*dt*(gas_dpdt(k, 1)/4._wp + gas_dpdt(k, 2)/4._wp + gas_dpdt(k, 3))
                     gas_mv(k, 1) = gas_mv(k, 1) + (2._wp/3._wp)*dt*(gas_dmvdt(k, 1)/4._wp + gas_dmvdt(k, 2)/4._wp + gas_dmvdt(k, 3))
-                    if (intfc_rad(k, 1) <= 0._wp) stop "Negative bubble radius encountered, please reduce dt"
                 end do
 
                 call s_transfer_data_to_tmp()
diff --git a/src/simulation/m_bubbles_EL_kernels.fpp b/src/simulation/m_bubbles_EL_kernels.fpp
index 43246aad55..b45832cae9 100644
--- a/src/simulation/m_bubbles_EL_kernels.fpp
+++ b/src/simulation/m_bubbles_EL_kernels.fpp
@@ -317,51 +317,27 @@ contains
 
         ! x-dir
         if (bc_x%beg == -2 .and. (cell(1) <= mapCells - 1)) then
-            if (cell(1) >= 0) then
-                cellaux(1) = abs(cellaux(1)) - 1
-            else
-                stop "Lagrangian bubbles must not be located in the ghost cells of a symmetric boundary (bc_x%beg)."
-            end if
+            cellaux(1) = abs(cellaux(1)) - 1
         end if
         if (bc_x%end == -2 .and. (cell(1) >= m + 1 - mapCells)) then
-            if (cell(1) <= m) then
-                cellaux(1) = cellaux(1) - (2*(cellaux(1) - m) - 1)
-            else
-                stop "Lagrangian bubbles must not be located in the ghost cells of a symmetric boundary (bc_x%end)."
-            end if
+            cellaux(1) = cellaux(1) - (2*(cellaux(1) - m) - 1)
         end if
 
         !y-dir
         if (bc_y%beg == -2 .and. (cell(2) <= mapCells - 1)) then
-            if (cell(2) >= 0) then
-                cellaux(2) = abs(cellaux(2)) - 1
-            else
-                stop "Lagrangian bubbles must not be located in the ghost cells of a symmetric boundary (bc_y%beg)."
-            end if
+            cellaux(2) = abs(cellaux(2)) - 1
         end if
         if (bc_y%end == -2 .and. (cell(2) >= n + 1 - mapCells)) then
-            if (cell(2) <= n) then
-                cellaux(2) = cellaux(2) - (2*(cellaux(2) - n) - 1)
-            else
-                stop "Lagrangian bubbles must not be located in the ghost cells of a symmetric boundary (bc_y%end)."
-            end if
+            cellaux(2) = cellaux(2) - (2*(cellaux(2) - n) - 1)
         end if
 
         if (p > 0) then
             !z-dir
             if (bc_z%beg == -2 .and. (cell(3) <= mapCells - 1)) then
-                if (cell(3) >= 0) then
-                    cellaux(3) = abs(cellaux(3)) - 1
-                else
-                    stop "Lagrangian bubbles must not be located in the ghost cells of a symmetric boundary (bc_z%beg)."
-                end if
+                cellaux(3) = abs(cellaux(3)) - 1
             end if
             if (bc_z%end == -2 .and. (cell(3) >= p + 1 - mapCells)) then
-                if (cell(3) <= p) then
-                    cellaux(3) = cellaux(3) - (2*(cellaux(3) - p) - 1)
-                else
-                    stop "Lagrangian bubbles must not be located in the ghost cells of a symmetric boundary (bc_z%end)."
-                end if
+                cellaux(3) = cellaux(3) - (2*(cellaux(3) - p) - 1)
             end if
         end if
 
diff --git a/src/simulation/m_checker.fpp b/src/simulation/m_checker.fpp
index 1ad61af341..728d962385 100644
--- a/src/simulation/m_checker.fpp
+++ b/src/simulation/m_checker.fpp
@@ -332,6 +332,7 @@ contains
         @:PROHIBIT(bubbles_lagrange .and. file_per_process, "file_per_process must be false for bubbles_lagrange")
         @:PROHIBIT(bubbles_lagrange .and. n==0, "bubbles_lagrange accepts 2D and 3D simulations only")
         @:PROHIBIT(bubbles_lagrange .and. model_eqns==3, "The 6-equation flow model does not support bubbles_lagrange")
+        @:PROHIBIT(bubbles_lagrange .and. lag_params%cluster_type>=2 .and. lag_params%smooth_type/=1, "cluster_type=2 requires smooth_type=1")
     end subroutine s_check_inputs_bubbles_lagrange
 
     !> Checks constraints on continuum damage model parameters
diff --git a/src/simulation/m_start_up.fpp b/src/simulation/m_start_up.fpp
index 5e77595bfc..8032a6f19e 100644
--- a/src/simulation/m_start_up.fpp
+++ b/src/simulation/m_start_up.fpp
@@ -1405,9 +1405,17 @@ contains
         end if
 
         if (bubbles_lagrange) then
+            !$acc update host(intfc_rad)
+            do i = 1, nBubs
+                if (ieee_is_nan(intfc_rad(i, 1)) .or. intfc_rad(i, 1) <= 0._wp) then
+                    print *, "Bubble radius is negative or NaN", proc_rank, t_step, i, intfc_rad(i, 1)
+                    error stop "Bubble radius is negative or NaN, please reduce dt"
+                end if
+            end do
+
             !$acc update host(q_beta%vf(1)%sf)
             call s_write_data_files(q_cons_ts(1)%vf, q_T_sf, q_prim_vf, save_count, q_beta%vf(1))
-            !$acc update host(Rmax_stats, Rmin_stats, gas_p, gas_mv, intfc_rad, intfc_vel)
+            !$acc update host(Rmax_stats, Rmin_stats, gas_p, gas_mv, intfc_vel)
             call s_write_restart_lag_bubbles(save_count) !parallel
             if (lag_params%write_bubbles_stats) call s_write_lag_bubble_stats()
         else

From c6b2fe08e6d08650f06233b2b38ed4e0d8da82e4 Mon Sep 17 00:00:00 2001
From: Diego Vaca <diegovaca@autoreg-6682246.dyn.wpi.edu>
Date: Tue, 29 Apr 2025 11:50:53 -0400
Subject: [PATCH 03/10] Correction of the Keller-Miksis model

---
 src/simulation/m_bubbles.fpp                  |   8 +-
 .../golden-metadata.txt                       |  66 +++----
 tests/{44CDCE28 => 016C1B8B}/golden.txt       |  16 +-
 tests/16868C50/golden-metadata.txt            | 182 ------------------
 tests/16868C50/golden.txt                     |  18 --
 tests/18A29336/golden-metadata.txt            | 182 ------------------
 tests/18A29336/golden.txt                     |  18 --
 tests/3A98950A/golden-metadata.txt            | 182 ------------------
 tests/44CDCE28/golden-metadata.txt            | 182 ------------------
 tests/5B195322/golden-metadata.txt            | 182 ------------------
 tests/5B195322/golden.txt                     |  18 --
 tests/A1480A64/golden.txt                     |  20 --
 tests/CE7B0BC7/golden-metadata.txt            | 150 +++++++++++++++
 tests/{3A98950A => CE7B0BC7}/golden.txt       |  12 +-
 tests/EE5A230D/golden-metadata.txt            | 182 ------------------
 tests/EE5A230D/golden.txt                     |  18 --
 toolchain/mfc/test/cases.py                   |   6 +-
 17 files changed, 203 insertions(+), 1239 deletions(-)
 rename tests/{A1480A64 => 016C1B8B}/golden-metadata.txt (53%)
 rename tests/{44CDCE28 => 016C1B8B}/golden.txt (69%)
 delete mode 100644 tests/16868C50/golden-metadata.txt
 delete mode 100644 tests/16868C50/golden.txt
 delete mode 100644 tests/18A29336/golden-metadata.txt
 delete mode 100644 tests/18A29336/golden.txt
 delete mode 100644 tests/3A98950A/golden-metadata.txt
 delete mode 100644 tests/44CDCE28/golden-metadata.txt
 delete mode 100644 tests/5B195322/golden-metadata.txt
 delete mode 100644 tests/5B195322/golden.txt
 delete mode 100644 tests/A1480A64/golden.txt
 create mode 100644 tests/CE7B0BC7/golden-metadata.txt
 rename tests/{3A98950A => CE7B0BC7}/golden.txt (84%)
 delete mode 100644 tests/EE5A230D/golden-metadata.txt
 delete mode 100644 tests/EE5A230D/golden.txt

diff --git a/src/simulation/m_bubbles.fpp b/src/simulation/m_bubbles.fpp
index b7b249139d..9e3e727586 100644
--- a/src/simulation/m_bubbles.fpp
+++ b/src/simulation/m_bubbles.fpp
@@ -247,17 +247,15 @@ contains
             cdot_star = fpbdot
         end if
 
-        if (.not. bubbles_lagrange) then
-            if (.not. f_is_default(Web)) cdot_star = cdot_star + (2._wp/Web)*fV/(fR**2._wp)
-            if (.not. f_is_default(Re_inv)) cdot_star = cdot_star + 4._wp*Re_inv*((fV/fR)**2._wp)
-        end if
+        if (.not. f_is_default(Web)) cdot_star = cdot_star + (2._wp/Web)*fV/(fR**2._wp)
+        if (.not. f_is_default(Re_inv)) cdot_star = cdot_star + 4._wp*Re_inv*((fV/fR)**2._wp)
 
         tmp1 = fV/fC
         tmp2 = 1.5_wp*(fV**2._wp)*(tmp1/3._wp - 1._wp) + &
                (1._wp + tmp1)*(fCpbw - fCp)/fRho + &
                cdot_star*fR/(fRho*fC)
 
-        if (bubbles_lagrange .or. f_is_default(Re_inv)) then
+        if (f_is_default(Re_inv)) then
             f_rddot_KM = tmp2/(fR*(1._wp - tmp1))
         else
             f_rddot_KM = tmp2/(fR*(1._wp - tmp1) + 4._wp*Re_inv/(fRho*fC))
diff --git a/tests/A1480A64/golden-metadata.txt b/tests/016C1B8B/golden-metadata.txt
similarity index 53%
rename from tests/A1480A64/golden-metadata.txt
rename to tests/016C1B8B/golden-metadata.txt
index 2a88f3e3f8..8455c98080 100644
--- a/tests/A1480A64/golden-metadata.txt
+++ b/tests/016C1B8B/golden-metadata.txt
@@ -1,19 +1,19 @@
-This file was created on 2024-12-08 17:08:27.858993.
+This file was created on 2025-04-29 11:47:26.596988.
 
 mfc.sh:
 
-    Invocation: test -o A1480A64 --generate
-    Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No
-    Git:        bd7067adf237718233c836fcf968b3ed19287174 on prcode (dirty)
+    Invocation: test -j 4 -o Lagrange Bubbles --generate
+    Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No & single=No
+    Git:        e927790ba0f3c2afaec15b437a172dc15270541f on master (dirty)
 
 syscheck:
 
     CMake Configuration:
     
-        CMake v3.29.2 on wlan-nat-private-5131.24.scconf.org
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
     
-        C       : AppleClang v15.0.0.15000309 (/Library/Developer/CommandLineTools/usr/bin/cc)
-        Fortran : GNU v14.1.0 (/opt/homebrew/bin/gfortran)
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
     
         PRE_PROCESS   : OFF
         SIMULATION    : OFF
@@ -25,16 +25,16 @@ syscheck:
         MPI     : ON
         OpenACC : OFF
     
-        Fypp    : /Users/benwilfong/Documents/software/MFC-Brown/build/venv/bin/fypp
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
         Doxygen : 
     
         Build Type : Release
     
     Configuration Environment:
     
-        CC       : 
-        CXX      : 
-        FC       : 
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
         OMPI_CC  : 
         OMPI_CXX : 
         OMPI_FC  : 
@@ -43,10 +43,10 @@ pre_process:
 
     CMake Configuration:
     
-        CMake v3.29.2 on wlan-nat-private-5131.24.scconf.org
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
     
-        C       : AppleClang v15.0.0.15000309 (/Library/Developer/CommandLineTools/usr/bin/cc)
-        Fortran : GNU v14.1.0 (/opt/homebrew/bin/gfortran)
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
     
         PRE_PROCESS   : ON
         SIMULATION    : OFF
@@ -58,16 +58,16 @@ pre_process:
         MPI     : ON
         OpenACC : OFF
     
-        Fypp    : /Users/benwilfong/Documents/software/MFC-Brown/build/venv/bin/fypp
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
         Doxygen : 
     
         Build Type : Release
     
     Configuration Environment:
     
-        CC       : 
-        CXX      : 
-        FC       : 
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
         OMPI_CC  : 
         OMPI_CXX : 
         OMPI_FC  : 
@@ -76,10 +76,10 @@ simulation:
 
     CMake Configuration:
     
-        CMake v3.29.2 on wlan-nat-private-5131.24.scconf.org
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
     
-        C       : AppleClang v15.0.0.15000309 (/Library/Developer/CommandLineTools/usr/bin/cc)
-        Fortran : GNU v14.1.0 (/opt/homebrew/bin/gfortran)
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
     
         PRE_PROCESS   : OFF
         SIMULATION    : ON
@@ -91,16 +91,16 @@ simulation:
         MPI     : ON
         OpenACC : OFF
     
-        Fypp    : /Users/benwilfong/Documents/software/MFC-Brown/build/venv/bin/fypp
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
         Doxygen : 
     
         Build Type : Release
     
     Configuration Environment:
     
-        CC       : 
-        CXX      : 
-        FC       : 
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
         OMPI_CC  : 
         OMPI_CXX : 
         OMPI_FC  : 
@@ -109,10 +109,10 @@ post_process:
 
     CMake Configuration:
     
-        CMake v3.29.2 on wlan-nat-private-5131.24.scconf.org
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
     
-        C       : AppleClang v15.0.0.15000309 (/Library/Developer/CommandLineTools/usr/bin/cc)
-        Fortran : GNU v14.1.0 (/opt/homebrew/bin/gfortran)
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
     
         PRE_PROCESS   : OFF
         SIMULATION    : OFF
@@ -124,16 +124,16 @@ post_process:
         MPI     : ON
         OpenACC : OFF
     
-        Fypp    : /Users/benwilfong/Documents/software/MFC-Brown/build/venv/bin/fypp
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
         Doxygen : 
     
         Build Type : Release
     
     Configuration Environment:
     
-        CC       : 
-        CXX      : 
-        FC       : 
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
         OMPI_CC  : 
         OMPI_CXX : 
         OMPI_FC  : 
@@ -146,5 +146,5 @@ CPU:
     machdep.cpu.core_count: 8
     machdep.cpu.logical_per_package: 8
     machdep.cpu.thread_count: 8
-    machdep.cpu.brand_string: Apple M2
+    machdep.cpu.brand_string: Apple M3
 
diff --git a/tests/44CDCE28/golden.txt b/tests/016C1B8B/golden.txt
similarity index 69%
rename from tests/44CDCE28/golden.txt
rename to tests/016C1B8B/golden.txt
index 5e76b70f55..b66d8ef14a 100644
--- a/tests/44CDCE28/golden.txt
+++ b/tests/016C1B8B/golden.txt
@@ -1,18 +1,18 @@
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\ No newline at end of file
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\ No newline at end of file
diff --git a/tests/16868C50/golden-metadata.txt b/tests/16868C50/golden-metadata.txt
deleted file mode 100644
index bfd9a3d419..0000000000
--- a/tests/16868C50/golden-metadata.txt
+++ /dev/null
@@ -1,182 +0,0 @@
-This file was created on 2024-12-22 09:19:33.985106.
-
-mfc.sh:
-
-    Invocation: test -f 3A98950A -t EE5A230D -j 4 --generate
-    Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No & single=No
-    Git:        432bcff449cb3a654fcab8cd11a9fad7c651cd9c on lagrangian (dirty)
-
-pre_process:
-
-    CMake Configuration:
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-        CMake v3.25.2 on login-02
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-        C       : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc)
-        Fortran : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran)
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-        PRE_PROCESS   : ON
-        SIMULATION    : OFF
-        POST_PROCESS  : OFF
-        SYSCHECK      : OFF
-        DOCUMENTATION : OFF
-        ALL           : OFF
-    
-        MPI     : ON
-        OpenACC : OFF
-    
-        Fypp    : /home/dgvacarevelo/MFC/build/venv/bin/fypp
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-    
-        Build Type : Release
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-    Configuration Environment:
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-        FC       : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran
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-post_process:
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-    CMake Configuration:
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-        CMake v3.25.2 on login-02
-    
-        C       : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc)
-        Fortran : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran)
-    
-        PRE_PROCESS   : OFF
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-    
-        MPI     : ON
-        OpenACC : OFF
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-        Fypp    : /home/dgvacarevelo/MFC/build/venv/bin/fypp
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-        CMake v3.25.2 on login-02
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-        C       : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc)
-        Fortran : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran)
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-        PRE_PROCESS   : OFF
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-        MPI     : ON
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-        CMake v3.25.2 on login-02
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-        C       : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc)
-        Fortran : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran)
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-        OMPI_CC  : 
-        OMPI_CXX : 
-        OMPI_FC  : 
-
-CPU:
-
-    CPU Info:
-    From lscpu
-    Architecture:                       x86_64
-    CPU op-mode(s):                     32-bit, 64-bit
-    Byte Order:                         Little Endian
-    Address sizes:                      40 bits physical, 57 bits virtual
-    CPU(s):                             16
-    On-line CPU(s) list:                0-15
-    Thread(s) per core:                 1
-    Core(s) per socket:                 16
-    Socket(s):                          1
-    NUMA node(s):                       1
-    Vendor ID:                          GenuineIntel
-    CPU family:                         6
-    Model:                              134
-    Model name:                         Intel Xeon Processor (Icelake)
-    Stepping:                           0
-    CPU MHz:                            2992.966
-    BogoMIPS:                           5985.93
-    Hypervisor vendor:                  KVM
-    Virtualization type:                full
-    L1d cache:                          512 KiB
-    L1i cache:                          512 KiB
-    L2 cache:                           64 MiB
-    L3 cache:                           16 MiB
-    NUMA node0 CPU(s):                  0-15
-    Vulnerability Gather data sampling: Not affected
-    Vulnerability Itlb multihit:        Not affected
-    Vulnerability L1tf:                 Mitigation; PTE Inversion
-    Vulnerability Mds:                  Vulnerable: Clear CPU buffers attempted, no microcode; SMT Host state unknown
-    Vulnerability Meltdown:             Mitigation; PTI
-    Vulnerability Mmio stale data:      Vulnerable: Clear CPU buffers attempted, no microcode; SMT Host state unknown
-    Vulnerability Retbleed:             Not affected
-    Vulnerability Spec store bypass:    Mitigation; Speculative Store Bypass disabled via prctl and seccomp
-    Vulnerability Spectre v1:           Mitigation; usercopy/swapgs barriers and __user pointer sanitization
-    Vulnerability Spectre v2:           Mitigation; Retpolines; IBPB conditional; IBRS_FW; STIBP disabled; RSB filling; PBRSB-eIBRS Not affected; BHI Retpoline
-    Vulnerability Srbds:                Not affected
-    Vulnerability Tsx async abort:      Not affected
-    Flags:                              fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush mmx fxsr sse sse2 ht syscall nx pdpe1gb rdtscp lm constant_tsc rep_good nopl xtopology cpuid tsc_known_freq pni pclmulqdq ssse3 fma cx16 pcid sse4_1 sse4_2 x2apic movbe popcnt tsc_deadline_timer aes xsave avx f16c rdrand hypervisor lahf_lm abm 3dnowprefetch cpuid_fault invpcid_single pti ssbd ibrs ibpb fsgsbase bmi1 avx2 smep bmi2 erms invpcid avx512f avx512dq rdseed adx smap clflushopt clwb avx512cd avx512bw avx512vl xsaveopt xsavec xgetbv1 wbnoinvd arat avx512vbmi umip pku ospke avx512_vbmi2 gfni vaes vpclmulqdq avx512_vnni avx512_bitalg avx512_vpopcntdq
-
diff --git a/tests/16868C50/golden.txt b/tests/16868C50/golden.txt
deleted file mode 100644
index a7355e9c83..0000000000
--- a/tests/16868C50/golden.txt
+++ /dev/null
@@ -1,18 +0,0 @@
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\ No newline at end of file
diff --git a/tests/18A29336/golden-metadata.txt b/tests/18A29336/golden-metadata.txt
deleted file mode 100644
index 104993cdf3..0000000000
--- a/tests/18A29336/golden-metadata.txt
+++ /dev/null
@@ -1,182 +0,0 @@
-This file was created on 2024-12-21 23:07:22.794169.
-
-mfc.sh:
-
-    Invocation: test -f 18A29336 -t 5B195322 -j 2 --generate
-    Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No & single=No
-    Git:        12de93537fb42175887b1fb9c61a3aad406810ae on lagrangian (dirty)
-
-syscheck:
-
-    CMake Configuration:
-    
-        CMake v3.25.2 on login-01
-    
-        C       : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc)
-        Fortran : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran)
-    
-        PRE_PROCESS   : OFF
-        SIMULATION    : OFF
-        POST_PROCESS  : OFF
-        SYSCHECK      : ON
-        DOCUMENTATION : OFF
-        ALL           : OFF
-    
-        MPI     : ON
-        OpenACC : OFF
-    
-        Fypp    : /home/dgvacarevelo/MFC/build/venv/bin/fypp
-        Doxygen : 
-    
-        Build Type : Release
-    
-    Configuration Environment:
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-        CC       : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc
-        CXX      : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/g++
-        FC       : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran
-        OMPI_CC  : 
-        OMPI_CXX : 
-        OMPI_FC  : 
-
-pre_process:
-
-    CMake Configuration:
-    
-        CMake v3.25.2 on login-01
-    
-        C       : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc)
-        Fortran : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran)
-    
-        PRE_PROCESS   : ON
-        SIMULATION    : OFF
-        POST_PROCESS  : OFF
-        SYSCHECK      : OFF
-        DOCUMENTATION : OFF
-        ALL           : OFF
-    
-        MPI     : ON
-        OpenACC : OFF
-    
-        Fypp    : /home/dgvacarevelo/MFC/build/venv/bin/fypp
-        Doxygen : 
-    
-        Build Type : Release
-    
-    Configuration Environment:
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-        CC       : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc
-        CXX      : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/g++
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-        OMPI_CC  : 
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-post_process:
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-    CMake Configuration:
-    
-        CMake v3.25.2 on login-01
-    
-        C       : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc)
-        Fortran : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran)
-    
-        PRE_PROCESS   : OFF
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-        MPI     : ON
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-        Fypp    : /home/dgvacarevelo/MFC/build/venv/bin/fypp
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-        Build Type : Release
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-        CC       : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc
-        CXX      : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/g++
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-        OMPI_CC  : 
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-simulation:
-
-    CMake Configuration:
-    
-        CMake v3.25.2 on login-02
-    
-        C       : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc)
-        Fortran : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran)
-    
-        PRE_PROCESS   : OFF
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-        MPI     : ON
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-        Fypp    : /home/dgvacarevelo/MFC/build/venv/bin/fypp
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-        CC       : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc
-        CXX      : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/g++
-        FC       : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran
-        OMPI_CC  : 
-        OMPI_CXX : 
-        OMPI_FC  : 
-
-CPU:
-
-    CPU Info:
-    From lscpu
-    Architecture:                       x86_64
-    CPU op-mode(s):                     32-bit, 64-bit
-    Byte Order:                         Little Endian
-    Address sizes:                      40 bits physical, 57 bits virtual
-    CPU(s):                             16
-    On-line CPU(s) list:                0-15
-    Thread(s) per core:                 1
-    Core(s) per socket:                 16
-    Socket(s):                          1
-    NUMA node(s):                       1
-    Vendor ID:                          GenuineIntel
-    CPU family:                         6
-    Model:                              134
-    Model name:                         Intel Xeon Processor (Icelake)
-    Stepping:                           0
-    CPU MHz:                            2992.966
-    BogoMIPS:                           5985.93
-    Hypervisor vendor:                  KVM
-    Virtualization type:                full
-    L1d cache:                          512 KiB
-    L1i cache:                          512 KiB
-    L2 cache:                           64 MiB
-    L3 cache:                           16 MiB
-    NUMA node0 CPU(s):                  0-15
-    Vulnerability Gather data sampling: Not affected
-    Vulnerability Itlb multihit:        Not affected
-    Vulnerability L1tf:                 Mitigation; PTE Inversion
-    Vulnerability Mds:                  Vulnerable: Clear CPU buffers attempted, no microcode; SMT Host state unknown
-    Vulnerability Meltdown:             Mitigation; PTI
-    Vulnerability Mmio stale data:      Vulnerable: Clear CPU buffers attempted, no microcode; SMT Host state unknown
-    Vulnerability Retbleed:             Not affected
-    Vulnerability Spec store bypass:    Mitigation; Speculative Store Bypass disabled via prctl and seccomp
-    Vulnerability Spectre v1:           Mitigation; usercopy/swapgs barriers and __user pointer sanitization
-    Vulnerability Spectre v2:           Mitigation; Retpolines; IBPB conditional; IBRS_FW; STIBP disabled; RSB filling; PBRSB-eIBRS Not affected; BHI Retpoline
-    Vulnerability Srbds:                Not affected
-    Vulnerability Tsx async abort:      Not affected
-    Flags:                              fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush mmx fxsr sse sse2 ht syscall nx pdpe1gb rdtscp lm constant_tsc rep_good nopl xtopology cpuid tsc_known_freq pni pclmulqdq ssse3 fma cx16 pcid sse4_1 sse4_2 x2apic movbe popcnt tsc_deadline_timer aes xsave avx f16c rdrand hypervisor lahf_lm abm 3dnowprefetch cpuid_fault invpcid_single pti ssbd ibrs ibpb fsgsbase bmi1 avx2 smep bmi2 erms invpcid avx512f avx512dq rdseed adx smap clflushopt clwb avx512cd avx512bw avx512vl xsaveopt xsavec xgetbv1 wbnoinvd arat avx512vbmi umip pku ospke avx512_vbmi2 gfni vaes vpclmulqdq avx512_vnni avx512_bitalg avx512_vpopcntdq
-
diff --git a/tests/18A29336/golden.txt b/tests/18A29336/golden.txt
deleted file mode 100644
index f8ea29a597..0000000000
--- a/tests/18A29336/golden.txt
+++ /dev/null
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diff --git a/tests/3A98950A/golden-metadata.txt b/tests/3A98950A/golden-metadata.txt
deleted file mode 100644
index 5717683718..0000000000
--- a/tests/3A98950A/golden-metadata.txt
+++ /dev/null
@@ -1,182 +0,0 @@
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-    Configuration Environment:
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-        OMPI_CC  : 
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-
-CPU:
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-    CPU Info:
-    From lscpu
-    Architecture:                       x86_64
-    CPU op-mode(s):                     32-bit, 64-bit
-    Byte Order:                         Little Endian
-    Address sizes:                      40 bits physical, 57 bits virtual
-    CPU(s):                             16
-    On-line CPU(s) list:                0-15
-    Thread(s) per core:                 1
-    Core(s) per socket:                 16
-    Socket(s):                          1
-    NUMA node(s):                       1
-    Vendor ID:                          GenuineIntel
-    CPU family:                         6
-    Model:                              134
-    Model name:                         Intel Xeon Processor (Icelake)
-    Stepping:                           0
-    CPU MHz:                            2992.966
-    BogoMIPS:                           5985.93
-    Hypervisor vendor:                  KVM
-    Virtualization type:                full
-    L1d cache:                          512 KiB
-    L1i cache:                          512 KiB
-    L2 cache:                           64 MiB
-    L3 cache:                           16 MiB
-    NUMA node0 CPU(s):                  0-15
-    Vulnerability Gather data sampling: Not affected
-    Vulnerability Itlb multihit:        Not affected
-    Vulnerability L1tf:                 Mitigation; PTE Inversion
-    Vulnerability Mds:                  Vulnerable: Clear CPU buffers attempted, no microcode; SMT Host state unknown
-    Vulnerability Meltdown:             Mitigation; PTI
-    Vulnerability Mmio stale data:      Vulnerable: Clear CPU buffers attempted, no microcode; SMT Host state unknown
-    Vulnerability Retbleed:             Not affected
-    Vulnerability Spec store bypass:    Mitigation; Speculative Store Bypass disabled via prctl and seccomp
-    Vulnerability Spectre v1:           Mitigation; usercopy/swapgs barriers and __user pointer sanitization
-    Vulnerability Spectre v2:           Mitigation; Retpolines; IBPB conditional; IBRS_FW; STIBP disabled; RSB filling; PBRSB-eIBRS Not affected; BHI Retpoline
-    Vulnerability Srbds:                Not affected
-    Vulnerability Tsx async abort:      Not affected
-    Flags:                              fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush mmx fxsr sse sse2 ht syscall nx pdpe1gb rdtscp lm constant_tsc rep_good nopl xtopology cpuid tsc_known_freq pni pclmulqdq ssse3 fma cx16 pcid sse4_1 sse4_2 x2apic movbe popcnt tsc_deadline_timer aes xsave avx f16c rdrand hypervisor lahf_lm abm 3dnowprefetch cpuid_fault invpcid_single pti ssbd ibrs ibpb fsgsbase bmi1 avx2 smep bmi2 erms invpcid avx512f avx512dq rdseed adx smap clflushopt clwb avx512cd avx512bw avx512vl xsaveopt xsavec xgetbv1 wbnoinvd arat avx512vbmi umip pku ospke avx512_vbmi2 gfni vaes vpclmulqdq avx512_vnni avx512_bitalg avx512_vpopcntdq
-
diff --git a/tests/44CDCE28/golden-metadata.txt b/tests/44CDCE28/golden-metadata.txt
deleted file mode 100644
index 5d646afc03..0000000000
--- a/tests/44CDCE28/golden-metadata.txt
+++ /dev/null
@@ -1,182 +0,0 @@
-This file was created on 2024-12-22 09:19:20.758525.
-
-mfc.sh:
-
-    Invocation: test -f 3A98950A -t EE5A230D -j 4 --generate
-    Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No & single=No
-    Git:        432bcff449cb3a654fcab8cd11a9fad7c651cd9c on lagrangian (dirty)
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-    Architecture:                       x86_64
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-    Byte Order:                         Little Endian
-    Address sizes:                      40 bits physical, 57 bits virtual
-    CPU(s):                             16
-    On-line CPU(s) list:                0-15
-    Thread(s) per core:                 1
-    Core(s) per socket:                 16
-    Socket(s):                          1
-    NUMA node(s):                       1
-    Vendor ID:                          GenuineIntel
-    CPU family:                         6
-    Model:                              134
-    Model name:                         Intel Xeon Processor (Icelake)
-    Stepping:                           0
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-    L2 cache:                           64 MiB
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-    NUMA node0 CPU(s):                  0-15
-    Vulnerability Gather data sampling: Not affected
-    Vulnerability Itlb multihit:        Not affected
-    Vulnerability L1tf:                 Mitigation; PTE Inversion
-    Vulnerability Mds:                  Vulnerable: Clear CPU buffers attempted, no microcode; SMT Host state unknown
-    Vulnerability Meltdown:             Mitigation; PTI
-    Vulnerability Mmio stale data:      Vulnerable: Clear CPU buffers attempted, no microcode; SMT Host state unknown
-    Vulnerability Retbleed:             Not affected
-    Vulnerability Spec store bypass:    Mitigation; Speculative Store Bypass disabled via prctl and seccomp
-    Vulnerability Spectre v1:           Mitigation; usercopy/swapgs barriers and __user pointer sanitization
-    Vulnerability Spectre v2:           Mitigation; Retpolines; IBPB conditional; IBRS_FW; STIBP disabled; RSB filling; PBRSB-eIBRS Not affected; BHI Retpoline
-    Vulnerability Srbds:                Not affected
-    Vulnerability Tsx async abort:      Not affected
-    Flags:                              fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush mmx fxsr sse sse2 ht syscall nx pdpe1gb rdtscp lm constant_tsc rep_good nopl xtopology cpuid tsc_known_freq pni pclmulqdq ssse3 fma cx16 pcid sse4_1 sse4_2 x2apic movbe popcnt tsc_deadline_timer aes xsave avx f16c rdrand hypervisor lahf_lm abm 3dnowprefetch cpuid_fault invpcid_single pti ssbd ibrs ibpb fsgsbase bmi1 avx2 smep bmi2 erms invpcid avx512f avx512dq rdseed adx smap clflushopt clwb avx512cd avx512bw avx512vl xsaveopt xsavec xgetbv1 wbnoinvd arat avx512vbmi umip pku ospke avx512_vbmi2 gfni vaes vpclmulqdq avx512_vnni avx512_bitalg avx512_vpopcntdq
-
diff --git a/tests/5B195322/golden-metadata.txt b/tests/5B195322/golden-metadata.txt
deleted file mode 100644
index 617e1bde9d..0000000000
--- a/tests/5B195322/golden-metadata.txt
+++ /dev/null
@@ -1,182 +0,0 @@
-This file was created on 2024-12-21 23:07:55.896182.
-
-mfc.sh:
-
-    Invocation: test -f 18A29336 -t 5B195322 -j 2 --generate
-    Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No & single=No
-    Git:        12de93537fb42175887b1fb9c61a3aad406810ae on lagrangian (dirty)
-
-syscheck:
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-    CMake Configuration:
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-        CMake v3.25.2 on login-01
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-        MPI     : ON
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-    Socket(s):                          1
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-    NUMA node0 CPU(s):                  0-15
-    Vulnerability Gather data sampling: Not affected
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-    Vulnerability Mmio stale data:      Vulnerable: Clear CPU buffers attempted, no microcode; SMT Host state unknown
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-    Vulnerability Srbds:                Not affected
-    Vulnerability Tsx async abort:      Not affected
-    Flags:                              fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush mmx fxsr sse sse2 ht syscall nx pdpe1gb rdtscp lm constant_tsc rep_good nopl xtopology cpuid tsc_known_freq pni pclmulqdq ssse3 fma cx16 pcid sse4_1 sse4_2 x2apic movbe popcnt tsc_deadline_timer aes xsave avx f16c rdrand hypervisor lahf_lm abm 3dnowprefetch cpuid_fault invpcid_single pti ssbd ibrs ibpb fsgsbase bmi1 avx2 smep bmi2 erms invpcid avx512f avx512dq rdseed adx smap clflushopt clwb avx512cd avx512bw avx512vl xsaveopt xsavec xgetbv1 wbnoinvd arat avx512vbmi umip pku ospke avx512_vbmi2 gfni vaes vpclmulqdq avx512_vnni avx512_bitalg avx512_vpopcntdq
-
diff --git a/tests/5B195322/golden.txt b/tests/5B195322/golden.txt
deleted file mode 100644
index 08dc848335..0000000000
--- a/tests/5B195322/golden.txt
+++ /dev/null
@@ -1,18 +0,0 @@
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diff --git a/tests/A1480A64/golden.txt b/tests/A1480A64/golden.txt
deleted file mode 100644
index 12b49d4318..0000000000
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\ No newline at end of file
diff --git a/tests/CE7B0BC7/golden-metadata.txt b/tests/CE7B0BC7/golden-metadata.txt
new file mode 100644
index 0000000000..ace15aa9d9
--- /dev/null
+++ b/tests/CE7B0BC7/golden-metadata.txt
@@ -0,0 +1,150 @@
+This file was created on 2025-04-29 11:47:26.430230.
+
+mfc.sh:
+
+    Invocation: test -j 4 -o Lagrange Bubbles --generate
+    Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No & single=No
+    Git:        e927790ba0f3c2afaec15b437a172dc15270541f on master (dirty)
+
+syscheck:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : OFF
+        SIMULATION    : OFF
+        POST_PROCESS  : OFF
+        SYSCHECK      : ON
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+pre_process:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : ON
+        SIMULATION    : OFF
+        POST_PROCESS  : OFF
+        SYSCHECK      : OFF
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+simulation:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : OFF
+        SIMULATION    : ON
+        POST_PROCESS  : OFF
+        SYSCHECK      : OFF
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+post_process:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : OFF
+        SIMULATION    : OFF
+        POST_PROCESS  : ON
+        SYSCHECK      : OFF
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+CPU:
+
+    CPU Info:
+    From sysctl -a 
+    machdep.cpu.cores_per_package: 8
+    machdep.cpu.core_count: 8
+    machdep.cpu.logical_per_package: 8
+    machdep.cpu.thread_count: 8
+    machdep.cpu.brand_string: Apple M3
+
diff --git a/tests/3A98950A/golden.txt b/tests/CE7B0BC7/golden.txt
similarity index 84%
rename from tests/3A98950A/golden.txt
rename to tests/CE7B0BC7/golden.txt
index b8e530b341..c221d5f205 100644
--- a/tests/3A98950A/golden.txt
+++ b/tests/CE7B0BC7/golden.txt
@@ -1,18 +1,18 @@
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diff --git a/tests/EE5A230D/golden-metadata.txt b/tests/EE5A230D/golden-metadata.txt
deleted file mode 100644
index fdc23e61c6..0000000000
--- a/tests/EE5A230D/golden-metadata.txt
+++ /dev/null
@@ -1,182 +0,0 @@
-This file was created on 2024-12-22 09:19:33.981036.
-
-mfc.sh:
-
-    Invocation: test -f 3A98950A -t EE5A230D -j 4 --generate
-    Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No & single=No
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-        SYSCHECK      : ON
-        DOCUMENTATION : OFF
-        ALL           : OFF
-    
-        MPI     : ON
-        OpenACC : OFF
-    
-        Fypp    : /home/dgvacarevelo/MFC/build/venv/bin/fypp
-        Doxygen : 
-    
-        Build Type : Release
-    
-    Configuration Environment:
-    
-        CC       : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc
-        CXX      : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/g++
-        FC       : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran
-        OMPI_CC  : 
-        OMPI_CXX : 
-        OMPI_FC  : 
-
-simulation:
-
-    CMake Configuration:
-    
-        CMake v3.25.2 on login-02
-    
-        C       : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc)
-        Fortran : GNU v12.1.0 (/cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran)
-    
-        PRE_PROCESS   : OFF
-        SIMULATION    : ON
-        POST_PROCESS  : OFF
-        SYSCHECK      : OFF
-        DOCUMENTATION : OFF
-        ALL           : OFF
-    
-        MPI     : ON
-        OpenACC : OFF
-    
-        Fypp    : /home/dgvacarevelo/MFC/build/venv/bin/fypp
-        Doxygen : 
-    
-        Build Type : Release
-    
-    Configuration Environment:
-    
-        CC       : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gcc
-        CXX      : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/g++
-        FC       : /cm/shared/spack/opt/spack/linux-ubuntu20.04-x86_64/gcc-9.4.0/gcc-12.1.0-i6yk33fh72z4rymfmydkenietcbpzz63/bin/gfortran
-        OMPI_CC  : 
-        OMPI_CXX : 
-        OMPI_FC  : 
-
-CPU:
-
-    CPU Info:
-    From lscpu
-    Architecture:                       x86_64
-    CPU op-mode(s):                     32-bit, 64-bit
-    Byte Order:                         Little Endian
-    Address sizes:                      40 bits physical, 57 bits virtual
-    CPU(s):                             16
-    On-line CPU(s) list:                0-15
-    Thread(s) per core:                 1
-    Core(s) per socket:                 16
-    Socket(s):                          1
-    NUMA node(s):                       1
-    Vendor ID:                          GenuineIntel
-    CPU family:                         6
-    Model:                              134
-    Model name:                         Intel Xeon Processor (Icelake)
-    Stepping:                           0
-    CPU MHz:                            2992.966
-    BogoMIPS:                           5985.93
-    Hypervisor vendor:                  KVM
-    Virtualization type:                full
-    L1d cache:                          512 KiB
-    L1i cache:                          512 KiB
-    L2 cache:                           64 MiB
-    L3 cache:                           16 MiB
-    NUMA node0 CPU(s):                  0-15
-    Vulnerability Gather data sampling: Not affected
-    Vulnerability Itlb multihit:        Not affected
-    Vulnerability L1tf:                 Mitigation; PTE Inversion
-    Vulnerability Mds:                  Vulnerable: Clear CPU buffers attempted, no microcode; SMT Host state unknown
-    Vulnerability Meltdown:             Mitigation; PTI
-    Vulnerability Mmio stale data:      Vulnerable: Clear CPU buffers attempted, no microcode; SMT Host state unknown
-    Vulnerability Retbleed:             Not affected
-    Vulnerability Spec store bypass:    Mitigation; Speculative Store Bypass disabled via prctl and seccomp
-    Vulnerability Spectre v1:           Mitigation; usercopy/swapgs barriers and __user pointer sanitization
-    Vulnerability Spectre v2:           Mitigation; Retpolines; IBPB conditional; IBRS_FW; STIBP disabled; RSB filling; PBRSB-eIBRS Not affected; BHI Retpoline
-    Vulnerability Srbds:                Not affected
-    Vulnerability Tsx async abort:      Not affected
-    Flags:                              fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush mmx fxsr sse sse2 ht syscall nx pdpe1gb rdtscp lm constant_tsc rep_good nopl xtopology cpuid tsc_known_freq pni pclmulqdq ssse3 fma cx16 pcid sse4_1 sse4_2 x2apic movbe popcnt tsc_deadline_timer aes xsave avx f16c rdrand hypervisor lahf_lm abm 3dnowprefetch cpuid_fault invpcid_single pti ssbd ibrs ibpb fsgsbase bmi1 avx2 smep bmi2 erms invpcid avx512f avx512dq rdseed adx smap clflushopt clwb avx512cd avx512bw avx512vl xsaveopt xsavec xgetbv1 wbnoinvd arat avx512vbmi umip pku ospke avx512_vbmi2 gfni vaes vpclmulqdq avx512_vnni avx512_bitalg avx512_vpopcntdq
-
diff --git a/tests/EE5A230D/golden.txt b/tests/EE5A230D/golden.txt
deleted file mode 100644
index 1fc9bc0bcd..0000000000
--- a/tests/EE5A230D/golden.txt
+++ /dev/null
@@ -1,18 +0,0 @@
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-D/voidfraction.dat 2.1429198e-06 2.1429197e-06 2.1429196e-06 2.1429189e-06 2.1429168e-06 2.1429124e-06 2.1429042e-06 2.1428906e-06 2.1428696e-06 2.1428388e-06 2.1427957e-06 2.1427374e-06 2.1426606e-06 2.1425617e-06 2.1424371e-06 2.1422825e-06 2.1420936e-06 2.1418658e-06 2.1415941e-06 2.1412733e-06 2.1408981e-06 2.1404628e-06 2.1399617e-06 2.1393889e-06 2.1387382e-06 2.1380035e-06 2.1371785e-06 2.1362571e-06 2.135233e-06 2.1341e-06 2.1328523e-06 2.1314841e-06 2.12999e-06 2.1283647e-06 2.1266037e-06 2.1247028e-06 2.1226584e-06 2.1204677e-06 2.1181287e-06 2.11564e-06 2.1130016e-06 2.1102141e-06 2.1072794e-06 2.1042006e-06 2.100982e-06 2.0976291e-06 2.0941487e-06 2.0905487e-06 2.0868385e-06 2.0830282e-06 2.0791293e-06
\ No newline at end of file
diff --git a/toolchain/mfc/test/cases.py b/toolchain/mfc/test/cases.py
index 625009baf2..a1ffa42a72 100644
--- a/toolchain/mfc/test/cases.py
+++ b/toolchain/mfc/test/cases.py
@@ -803,7 +803,7 @@ def alter_lag_bubbles():
         # Lagrangian bubbles
         for adap_dt in ['F']:
             for couplingMethod in [1, 2]:
-                stack.push("Lagrange bubbles", {"bubbles_lagrange": 'T',
+                stack.push("Lagrange Bubbles", {"bubbles_lagrange": 'T',
                     'dt': 1e-06, 'lag_params%pressure_corrector': 'T', 'bubble_model': 2,
                     'num_fluids': 2, 'lag_params%heatTransfer_model': 'T', 'lag_params%massTransfer_model': 'T', 
                     'fluid_pp(1)%gamma' : 0.16, 'fluid_pp(1)%pi_inf': 3515.0, 'fluid_pp(2)%gamma': 2.5,
@@ -821,9 +821,9 @@ def alter_lag_bubbles():
                     'acoustic(1)%mag': 2e+04, 't_step_start': 0, 't_step_stop': 50, 't_step_save': 50
                 })
                 if couplingMethod==1:
-                    stack.push('One-way coupling',{'lag_params%solver_approach': 1})
+                    stack.push('One-way Coupling',{'lag_params%solver_approach': 1})
                 else:
-                    stack.push('Two-way coupling',{'lag_params%solver_approach': 2})
+                    stack.push('Two-way Coupling',{'lag_params%solver_approach': 2})
 
                 if adap_dt=='F':
                     stack.push('',{})

From 903aa93b6bb12ad5bb227cb453ab4b57f511f4f3 Mon Sep 17 00:00:00 2001
From: Diego Vaca <diegovaca@autoreg-6682246.dyn.wpi.edu>
Date: Wed, 30 Apr 2025 09:46:20 -0400
Subject: [PATCH 04/10] Add adap_dt to bubbles_lagrange

---
 docs/documentation/case.md                 |   6 +-
 examples/3D_lagrange_shbubcollapse/case.py |   5 +-
 src/simulation/m_bubbles.fpp               | 407 ++++++++++++++++++++-
 src/simulation/m_bubbles_EE.fpp            | 262 +------------
 src/simulation/m_bubbles_EL.fpp            | 353 +++++++++---------
 src/simulation/m_checker.fpp               |   4 +-
 src/simulation/m_rhs.fpp                   |  26 +-
 src/simulation/m_time_steppers.fpp         |  72 ++--
 tests/016C1B8B/golden-metadata.txt         |  28 +-
 tests/016C1B8B/golden.txt                  |  16 +-
 tests/12ECE133/golden-metadata.txt         | 150 ++++++++
 tests/12ECE133/golden.txt                  |  18 +
 tests/5B195322/golden-metadata.txt         | 150 ++++++++
 tests/5B195322/golden.txt                  |  18 +
 tests/CE7B0BC7/golden-metadata.txt         |  28 +-
 tests/CE7B0BC7/golden.txt                  |   4 +-
 tests/DFF6E349/golden-metadata.txt         | 150 ++++++++
 tests/DFF6E349/golden.txt                  |  18 +
 toolchain/mfc/run/case_dicts.py            |   2 -
 toolchain/mfc/test/cases.py                |   4 +-
 20 files changed, 1195 insertions(+), 526 deletions(-)
 create mode 100644 tests/12ECE133/golden-metadata.txt
 create mode 100644 tests/12ECE133/golden.txt
 create mode 100644 tests/5B195322/golden-metadata.txt
 create mode 100644 tests/5B195322/golden.txt
 create mode 100644 tests/DFF6E349/golden-metadata.txt
 create mode 100644 tests/DFF6E349/golden.txt

diff --git a/docs/documentation/case.md b/docs/documentation/case.md
index 9471830149..385b88be6b 100644
--- a/docs/documentation/case.md
+++ b/docs/documentation/case.md
@@ -434,7 +434,7 @@ The effect and use of the source term are assessed by [Schmidmayer et al., 2019]
 - `time_stepper` specifies the order of the Runge-Kutta (RK) time integration scheme that is used for temporal integration in simulation, from the 1st to 5th order by corresponding integer.
 Note that `time_stepper = 3` specifies the total variation diminishing (TVD), third order RK scheme ([Gottlieb and Shu, 1998](references.md)).
 
-- `adap_dt` activates the Strang operator splitting scheme which splits flux and source terms in time marching, and an adaptive time stepping strategy is implemented for the source term. It requires ``bubbles = 'T'``, ``polytropic = 'T'``, ``adv_n = 'T'`` and `time_stepper = 3`.
+- `adap_dt` activates the Strang operator splitting scheme which splits flux and source terms in time marching, and an adaptive time stepping strategy is implemented for the source term. It requires ``bubbles_euler = 'T'``, ``polytropic = 'T'``, ``adv_n = 'T'`` and `time_stepper = 3`. Additionally, it can be used with ``bubbles_lagrange = 'T'`` and `time_stepper = 3`
 
 - `weno_order` specifies the order of WENO scheme that is used for spatial reconstruction of variables by an integer of 1, 3, 5, and 7, that correspond to the 1st, 3rd, 5th, and 7th order, respectively.
 
@@ -765,8 +765,6 @@ When ``polytropic = 'F'``, the gas compression is modeled as non-polytropic due
 | `x0`                  | Real    | Reference length                                          |
 | `Thost`               | Real    | Temperature of the surrounding liquid (host)              |
 | `diffcoefvap`         | Real    | Vapor diffusivity in the gas                              |
-| `rkck_adap_dt`        | Logical | Activates the adaptive rkck time stepping algorithm       |
-| `rkck_tolerance`      | Real    | Admissible error truncation tolerance in the rkck stepper  |
 
 - `nBubs_glb` Total number of bubbles. Their initial conditions need to be specified in the ./input/lag_bubbles.dat file. See the example cases for additional information.
 
@@ -780,8 +778,6 @@ When ``polytropic = 'F'``, the gas compression is modeled as non-polytropic due
 
 - `massTransfer_model` Activates the mass transfer model at the bubble's interface based on ([Preston et al., 2007](references.md)).
 
-- `rkck_adap_dt` Activates the adaptive 4th/5th order Runge—Kutta–Cash–Karp (RKCK) time-stepping algorithm (requires `time_stepper ==4`). A maximum error between the 4th and 5th order Runge-Kutta-Cash-Karp solutions for the same time step size is calculated. If the error is smaller than a tolerance (`rkck_tolerance`), then the algorithm employs the 5th order solution, while if not, both eulerian/lagrangian variables are re-calculated with a smaller time step size.
-
 ### 10. Velocity Field Setup
 
 | Parameter              | Type    | Description |
diff --git a/examples/3D_lagrange_shbubcollapse/case.py b/examples/3D_lagrange_shbubcollapse/case.py
index d22117bf8b..d0268f515a 100644
--- a/examples/3D_lagrange_shbubcollapse/case.py
+++ b/examples/3D_lagrange_shbubcollapse/case.py
@@ -80,6 +80,7 @@
             "n": Ny,
             "p": Nz,
             "dt": round(dt * c0 / x0, 6),
+            "adap_dt": "T",
             "n_start": 0,
             "t_save": saveTime * (c0 / x0),
             "t_stop": stopTime * (c0 / x0),
@@ -89,7 +90,7 @@
             "num_patches": 1,
             "mpp_lim": "F",
             "viscous": "T",
-            "time_stepper": 4,  # 4th/5th RKCK
+            "time_stepper": 3,
             "weno_order": 5,
             "weno_eps": 1.0e-16,
             "mapped_weno": "T",
@@ -141,8 +142,6 @@
             # Lagrangian Bubbles
             "bubbles_lagrange": "T",
             "bubble_model": 2,  # Keller-Miksis model
-            "rkck_adap_dt": "T",  # Activate adaptive time stepper
-            "rkck_tolerance": 1.0e-05,
             "lag_params%nBubs_glb": 1,
             "lag_params%solver_approach": 2,  # Two-way coupled
             "lag_params%cluster_type": 2,
diff --git a/src/simulation/m_bubbles.fpp b/src/simulation/m_bubbles.fpp
index 9e3e727586..1cb6447744 100644
--- a/src/simulation/m_bubbles.fpp
+++ b/src/simulation/m_bubbles.fpp
@@ -24,6 +24,55 @@ module m_bubbles
 
 contains
 
+    !> Function that computes the bubble radial acceleration based on bubble models
+        !!  @param fRho Current density
+        !!  @param fP Current driving pressure
+        !!  @param fR Current bubble radius
+        !!  @param fV Current bubble velocity
+        !!  @param fR0 Equilibrium bubble radius
+        !!  @param fpb Internal bubble pressure
+        !!  @param fpbdot Time-derivative of internal bubble pressure
+        !!  @param alf bubble volume fraction
+        !!  @param fntait Tait EOS parameter
+        !!  @param fBtait Tait EOS parameter
+        !!  @param f_bub_adv_src Source for bubble volume fraction
+        !!  @param f_divu Divergence of velocity
+    function f_rddot(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, fntait, fBtait, f_bub_adv_src, f_divu, fCson)
+        !$acc routine seq
+        real(wp), intent(in) :: fRho, fP, fR, fV, fR0, fpb, fpbdot, alf
+        real(wp), intent(in) :: fntait, fBtait, f_bub_adv_src, f_divu
+        real(wp), intent(in) :: fCson
+
+        real(wp) :: fCpbw, fCpinf, fCpinf_dot, fH, fHdot, c_gas, c_liquid
+        real(wp) :: f_rddot
+
+        if (bubble_model == 1) then
+            ! Gilmore bubbles
+            fCpinf = fP - pref
+            fCpbw = f_cpbw(fR0, fR, fV, fpb)
+            fH = f_H(fCpbw, fCpinf, fntait, fBtait)
+            c_gas = f_cgas(fCpinf, fntait, fBtait, fH)
+            fCpinf_dot = f_cpinfdot(fRho, fP, alf, fntait, fBtait, f_bub_adv_src, f_divu)
+            fHdot = f_Hdot(fCpbw, fCpinf, fCpinf_dot, fntait, fBtait, fR, fV, fR0, fpbdot)
+            f_rddot = f_rddot_G(fCpbw, fR, fV, fH, fHdot, c_gas, fntait, fBtait)
+        else if (bubble_model == 2) then
+            ! Keller-Miksis bubbles
+            fCpinf = fP
+            fCpbw = f_cpbw_KM(fR0, fR, fV, fpb)
+            if (bubbles_euler) then
+                c_liquid = sqrt(fntait*(fP + fBtait)/(fRho*(1._wp - alf)))
+            else
+                c_liquid = fCson
+            end if
+            f_rddot = f_rddot_KM(fpbdot, fCpinf, fCpbw, fRho, fR, fV, fR0, c_liquid)
+        else if (bubble_model == 3) then
+            ! Rayleigh-Plesset bubbles
+            fCpbw = f_cpbw_KM(fR0, fR, fV, fpb)
+            f_rddot = f_rddot_RP(fP, fRho, fR, fV, fR0, fCpbw)
+        end if
+
+    end function f_rddot
+
     !>  Function that computes that bubble wall pressure for Gilmore bubbles
         !!  @param fR0 Equilibrium bubble radius
         !!  @param fR Current bubble radius
@@ -291,32 +340,46 @@ contains
         !!  @param iR0 Bubble size index (EE) or bubble identifier (EL)
         !!  @param fmass_n Current gas mass (EL)
         !!  @param fbeta_c Mass transfer coefficient (EL)
-        !!  @param fconc_v Current vapor concentration (EL)
-    function f_vflux(fR, fV, fmass_v, iR0, fmass_n, fbeta_c, fconc_v)
+    function f_vflux(fR, fV, fpb, fmass_v, iR0, fmass_n, fbeta_c, fR_m, fgamma_m)
         !$acc routine seq
         real(wp), intent(in) :: fR
         real(wp), intent(in) :: fV
+        real(wp), intent(in) :: fpb
         real(wp), intent(in) :: fmass_v
         integer, intent(in) :: iR0
-        real(wp), intent(in), optional :: fmass_n, fbeta_c, fconc_v
+        real(wp), intent(in), optional :: fmass_n, fbeta_c
+        real(wp), intent(out), optional :: fR_m, fgamma_m
 
         real(wp) :: chi_bar
         real(wp) :: rho_mw_lag
         real(wp) :: grad_chi
+        real(wp) :: conc_v
         real(wp) :: f_vflux
 
         if (thermal == 3) then !transfer
             ! constant transfer model
             if (bubbles_lagrange) then
+                ! Mixture properties (gas+vapor) in the bubble
+                conc_v = fmass_v/(fmass_v + fmass_n)
+                if (lag_params%massTransfer_model) then
+                    conc_v = 1._wp/(1._wp + (R_v/R_n)*(fpb/pv - 1._wp))
+                end if
+                fR_m = (fmass_n*R_n + fmass_v*R_v)
+                fgamma_m = conc_v*gamma_v + (1._wp - conc_v)*gamma_n
+
+                ! Vapor flux
                 chi_bar = fmass_v/(fmass_v + fmass_n)
-                grad_chi = (chi_bar - fconc_v)
+                grad_chi = (chi_bar - conc_v)
                 rho_mw_lag = (fmass_n + fmass_v)/(4._wp/3._wp*pi*fR**3._wp)
-                f_vflux = -fbeta_c*rho_mw_lag*grad_chi/(1._wp - fconc_v)/fR
-                return
+                f_vflux = 0._wp
+                if (lag_params%massTransfer_model) then
+                    f_vflux = -fbeta_c*rho_mw_lag*grad_chi/(1._wp - conc_v)/fR
+                end if
+            else
+                chi_bar = fmass_v/(fmass_v + mass_n0(iR0))
+                grad_chi = -Re_trans_c(iR0)*(chi_bar - chi_vw)
+                f_vflux = rho_mw*grad_chi/Pe_c/(1._wp - chi_vw)/fR
             end if
-            chi_bar = fmass_v/(fmass_v + mass_n0(iR0))
-            grad_chi = -Re_trans_c(iR0)*(chi_bar - chi_vw)
-            f_vflux = rho_mw*grad_chi/Pe_c/(1._wp - chi_vw)/fR
         else
             ! polytropic
             f_vflux = pv*fV/(R_v*Tw)
@@ -336,7 +399,7 @@ contains
         !!  @param fR_m Mixture gas constant (EL)
         !!  @param fgamma_m Mixture gamma (EL)
         !!  @param fconc_v Current vapor concentration (EL)
-    function f_bpres_dot(fvflux, fR, fV, fpb, fmass_v, iR0, fbeta_t, fR_m, fgamma_m, fconc_v)
+    function f_bpres_dot(fvflux, fR, fV, fpb, fmass_v, iR0, fbeta_t, fR_m, fgamma_m)
         !$acc routine seq
         real(wp), intent(in) :: fvflux
         real(wp), intent(in) :: fR
@@ -344,7 +407,7 @@ contains
         real(wp), intent(in) :: fpb
         real(wp), intent(in) :: fmass_v
         integer, intent(in) :: iR0
-        real(wp), intent(in), optional :: fbeta_t, fR_m, fgamma_m, fconc_v
+        real(wp), intent(in), optional :: fbeta_t, fR_m, fgamma_m
 
         real(wp) :: T_bar
         real(wp) :: grad_T
@@ -371,4 +434,326 @@ contains
 
     end function f_bpres_dot
 
+    !> Adaptive time stepping routine for subgrid bubbles
+        !!  (See Heirer, E. Hairer S.P.Nørsett G. Wanner, Solving Ordinary
+        !!  Differential Equations I, Chapter II.4)
+        !!  @param fRho Current density
+        !!  @param fP Current driving pressure
+        !!  @param fR Current bubble radius
+        !!  @param fV Current bubble velocity
+        !!  @param fR0 Equilibrium bubble radius
+        !!  @param fpb Internal bubble pressure
+        !!  @param fpbdot Time-derivative of internal bubble pressure
+        !!  @param alf bubble volume fraction
+        !!  @param fntait Tait EOS parameter
+        !!  @param fBtait Tait EOS parameter
+        !!  @param f_bub_adv_src Source for bubble volume fraction
+        !!  @param f_divu Divergence of velocity
+        !!  @param bub_id Bubble identifier (EL)
+        !!  @param fmass_v Current mass of vapour (EL)
+        !!  @param fmass_n Current mass of gas (EL)
+        !!  @param fbeta_c Mass transfer coefficient (EL)
+        !!  @param fbeta_t Heat transfer coefficient (EL)
+        !!  @param fCson Speed of sound (EL)
+    subroutine s_advance_step(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                                fntait, fBtait, f_bub_adv_src, f_divu, &
+                                bub_id, fmass_v, fmass_n, fbeta_c, &
+                                fbeta_t, fCson)
+#ifdef _CRAYFTN
+        !DIR$ INLINEALWAYS s_advance_step
+#else
+        !$acc routine seq
+#endif
+        real(wp), intent(inout) :: fR, fV, fpb, fmass_v
+        real(wp), intent(in) :: fRho, fP, fR0, fpbdot, alf
+        real(wp), intent(in) :: fntait, fBtait, f_bub_adv_src, f_divu
+        integer, intent(in) :: bub_id
+        real(wp), intent(in) :: fmass_n, fbeta_c, fbeta_t, fCson
+
+        real(wp) :: tol
+        real(wp) :: err1, err2, err3, err4, err5 !< Error estimates for adaptive time stepping
+        real(wp) :: t_new !< Updated time step size
+        real(wp) :: h !< Time step size
+        real(wp), dimension(4) :: myR_tmp1, myV_tmp1, myR_tmp2, myV_tmp2 !< Bubble radius, radial velocity, and radial acceleration for the inner loop
+        real(wp), dimension(4) :: myPb_tmp1, myMv_tmp1, myPb_tmp2, myMv_tmp2 !< Gas pressure and vapor mass for the inner loop (EL)
+
+        tol = 1e-4_wp
+
+        h = f_initial_substep_h(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                                fntait, fBtait, f_bub_adv_src, f_divu, fCson)
+
+        ! Advancing one step
+        t_new = 0._wp
+        do while (.true.)
+            if (t_new + h > 0.5_wp*dt) then
+                h = 0.5_wp*dt - t_new
+            end if
+
+            ! Advancing one sub-step
+            do while (.true.)
+
+                ! Advance one sub-step
+                err1 = f_advance_substep( &
+                       fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                       fntait, fBtait, f_bub_adv_src, f_divu, &
+                       bub_id, fmass_v, fmass_n, fbeta_c, &
+                       fbeta_t, fCson, h, &
+                       myR_tmp1, myV_tmp1, myPb_tmp1, myMv_tmp1)
+
+                ! Advance one sub-step by advancing two half steps
+                err2 = f_advance_substep( &
+                       fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                       fntait, fBtait, f_bub_adv_src, f_divu, &
+                       bub_id, fmass_v, fmass_n, fbeta_c, &
+                       fbeta_t, fCson, 0.5_wp*h, &
+                       myR_tmp2, myV_tmp2, myPb_tmp2, myMv_tmp2)
+
+                err3 = f_advance_substep( &
+                       fRho, fP, myR_tmp2(4), myV_tmp2(4), fR0, myPb_tmp2(4), fpbdot, alf, &
+                       fntait, fBtait, f_bub_adv_src, f_divu, &
+                       bub_id, myMv_tmp2(4), fmass_n, fbeta_c, &
+                       fbeta_t, fCson, 0.5_wp*h, &
+                       myR_tmp2, myV_tmp2, myPb_tmp2, myMv_tmp2)
+
+                err4 = abs((myR_tmp1(4) - myR_tmp2(4))/myR_tmp1(4))
+                err5 = abs((myV_tmp1(4) - myV_tmp2(4))/myV_tmp1(4))
+                if (abs(myV_tmp1(4)) < 1e-12_wp) err5 = 0._wp
+
+                ! Determine acceptance/rejection and update step size
+                !   Rule 1: err1, err2, err3 < tol
+                !   Rule 2: myR_tmp1(4) > 0._wp
+                !   Rule 3: abs((myR_tmp1(4) - myR_tmp2(4))/fR) < tol
+                !   Rule 4: abs((myV_tmp1(4) - myV_tmp2(4))/fV) < tol
+                if ((err1 <= tol) .and. (err2 <= tol) .and. (err3 <= tol) &
+                    .and. (err4 < tol) .and. (err5 < tol) &
+                    .and. myR_tmp1(4) > 0._wp) then
+
+                    ! Accepted. Finalize the sub-step
+                    t_new = t_new + h
+
+                    ! Update R and V
+                    fR = myR_tmp1(4)
+                    fV = myV_tmp1(4)
+
+                    if (bubbles_lagrange) then
+                        ! Update pb and mass_v
+                        fpb = myPb_tmp1(4)
+                        fmass_v = myMv_tmp1(4)
+                    end if
+
+                    ! Update step size for the next sub-step
+                    h = h*min(2._wp, max(0.5_wp, (1e-4_wp/err1)**(1._wp/3._wp)))
+
+                    exit
+                else
+                    ! Rejected. Update step size for the next try on sub-step
+                    if (err2 <= 1e-4_wp) then
+                        h = 0.5_wp*h
+                    else
+                        h = 0.25_wp*h
+                    end if
+                end if
+            end do
+
+            ! Exit the loop if the final time reached dt
+            if (t_new == 0.5_wp*dt) exit
+
+        end do
+
+    end subroutine s_advance_step
+
+    !> Choose the initial time step size for the adaptive time stepping routine
+        !!  (See Heirer, E. Hairer S.P.Nørsett G. Wanner, Solving Ordinary
+        !!  Differential Equations I, Chapter II.4)
+        !!  @param fRho Current density
+        !!  @param fP Current driving pressure
+        !!  @param fR Current bubble radius
+        !!  @param fV Current bubble velocity
+        !!  @param fR0 Equilibrium bubble radius
+        !!  @param fpb Internal bubble pressure
+        !!  @param fpbdot Time-derivative of internal bubble pressure
+        !!  @param alf bubble volume fraction
+        !!  @param fntait Tait EOS parameter
+        !!  @param fBtait Tait EOS parameter
+        !!  @param f_bub_adv_src Source for bubble volume fraction
+        !!  @param f_divu Divergence of velocity
+        !!  @param h Time step size
+    function f_initial_substep_h(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                                    fntait, fBtait, f_bub_adv_src, f_divu, &
+                                    fCson)
+        !$acc routine seq
+        real(wp), intent(IN) :: fRho, fP, fR, fV, fR0, fpb, fpbdot, alf
+        real(wp), intent(IN) :: fntait, fBtait, f_bub_adv_src, f_divu
+        real(wp), intent(IN) :: fCson
+
+        real(wp) :: f_initial_substep_h
+        real(wp) :: h0, h1 !< Time step size
+        real(wp) :: d_0, d_1, d_2 !< norms
+        real(wp), dimension(2) :: myR_tmp, myV_tmp, myA_tmp !< Bubble radius, radial velocity, and radial acceleration
+
+        ! Determine the starting time step
+        ! Evaluate f(x0,y0)
+        myR_tmp(1) = fR
+        myV_tmp(1) = fV
+        myA_tmp(1) = f_rddot(fRho, fP, myR_tmp(1), myV_tmp(1), fR0, &
+                             fpb, fpbdot, alf, fntait, fBtait, &
+                             f_bub_adv_src, f_divu, &
+                             fCson)
+
+        ! Compute d_0 = ||y0|| and d_1 = ||f(x0,y0)||
+        d_0 = sqrt((myR_tmp(1)**2._wp + myV_tmp(1)**2._wp)/2._wp)
+        d_1 = sqrt((myV_tmp(1)**2._wp + myA_tmp(1)**2._wp)/2._wp)
+        if (d_0 < 1e-5_wp .or. d_1 < 1e-5_wp) then
+            h0 = 1e-6_wp
+        else
+            h0 = 1e-2_wp*(d_0/d_1)
+        end if
+
+        ! Evaluate f(x0+h0,y0+h0*f(x0,y0))
+        myR_tmp(2) = myR_tmp(1) + h0*myV_tmp(1)
+        myV_tmp(2) = myV_tmp(1) + h0*myA_tmp(1)
+        myA_tmp(2) = f_rddot(fRho, fP, myR_tmp(2), myV_tmp(2), fR0, &
+                             fpb, fpbdot, alf, fntait, fBtait, &
+                             f_bub_adv_src, f_divu, &
+                             fCson)
+
+        ! Compute d_2 = ||f(x0+h0,y0+h0*f(x0,y0))-f(x0,y0)||/h0
+        d_2 = sqrt(((myV_tmp(2) - myV_tmp(1))**2._wp + (myA_tmp(2) - myA_tmp(1))**2._wp)/2._wp)/h0
+
+        ! Set h1 = (0.01/max(d_1,d_2))^{1/(p+1)}
+        !      if max(d_1,d_2) < 1e-15_wp, h1 = max(1e-6_wp, h0*1e-3_wp)
+        if (max(d_1, d_2) < 1e-15_wp) then
+            h1 = max(1e-6_wp, h0*1e-3_wp)
+        else
+            h1 = (1e-2_wp/max(d_1, d_2))**(1._wp/3._wp)
+        end if
+
+        f_initial_substep_h = min(100._wp*h0, h1)
+
+    end function f_initial_substep_h
+
+    !>  Integrate bubble variables over the given time step size, h
+        !!  @param fRho Current density
+        !!  @param fP Current driving pressure
+        !!  @param fR Current bubble radius
+        !!  @param fV Current bubble velocity
+        !!  @param fR0 Equilibrium bubble radius
+        !!  @param fpb Internal bubble pressure
+        !!  @param fpbdot Time-derivative of internal bubble pressure
+        !!  @param alf bubble volume fraction
+        !!  @param fntait Tait EOS parameter
+        !!  @param fBtait Tait EOS parameter
+        !!  @param f_bub_adv_src Source for bubble volume fraction
+        !!  @param f_divu Divergence of velocity
+        !!  @param h Time step size
+        !!  @param myR_tmp Bubble radius at each stage
+        !!  @param myV_tmp Bubble radial velocity at each stage
+        !!  @param err Estimated error
+    function f_advance_substep(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                                 fntait, fBtait, f_bub_adv_src, f_divu, &
+                                 bub_id, fmass_v, fmass_n, fbeta_c, &
+                                 fbeta_t, fCson, h, &
+                                 myR_tmp, myV_tmp, myPb_tmp, myMv_tmp)
+        !$acc routine seq
+        real(wp), intent(IN) :: fRho, fP, fR, fV, fR0, fpb, fpbdot, alf
+        real(wp), intent(IN) :: fntait, fBtait, f_bub_adv_src, f_divu, h
+        integer, intent(IN) :: bub_id
+        real(wp), intent(IN) :: fmass_v, fmass_n, fbeta_c, fbeta_t, fCson
+        real(wp), dimension(4), intent(OUT) :: myR_tmp, myV_tmp, myPb_tmp, myMv_tmp
+
+        real(wp), dimension(4) :: myA_tmp, mydPbdt_tmp, mydMvdt_tmp
+        real(wp) :: f_advance_substep
+        real(wp) :: err_R, err_V
+
+        real(wp) :: myVapFlux, myR_m, mygamma_m, Pb_tmp, Pbdot_tmp
+
+        Pb_tmp = fpb
+        Pbdot_tmp = fpbdot
+
+        ! Stage 0
+        myR_tmp(1) = fR
+        myV_tmp(1) = fV
+        if (bubbles_lagrange) then
+            myPb_tmp(1) = fpb
+            myMv_tmp(1) = fmass_v
+
+            myVapFlux = f_vflux(myR_tmp(1), myV_tmp(1), myPb_tmp(1), myMv_tmp(1), bub_id, fmass_n, fbeta_c, myR_m, mygamma_m)
+            mydPbdt_tmp(1) = f_bpres_dot(myVapFlux, myR_tmp(1), myV_tmp(1), myPb_tmp(1), myMv_tmp(1), bub_id, fbeta_t, myR_m, mygamma_m)
+            mydMvdt_tmp(1) = 4._wp*pi*myR_tmp(1)**2._wp*myVapFlux
+            Pb_tmp = myPb_tmp(1)
+            Pbdot_tmp = mydPbdt_tmp(1)
+        end if
+        myA_tmp(1) = f_rddot(fRho, fP, myR_tmp(1), myV_tmp(1), fR0, &
+                             Pb_tmp, Pbdot_tmp, alf, fntait, fBtait, &
+                             f_bub_adv_src, f_divu, &
+                             fCson)
+
+        ! Stage 1
+        myR_tmp(2) = myR_tmp(1) + h*myV_tmp(1)
+        myV_tmp(2) = myV_tmp(1) + h*myA_tmp(1)
+        if (bubbles_lagrange) then
+            myPb_tmp(2) = myPb_tmp(1) + h*mydPbdt_tmp(1)
+            myMv_tmp(2) = myMv_tmp(1) + h*mydMvdt_tmp(1)
+
+            myVapFlux = f_vflux(myR_tmp(2), myV_tmp(2), myPb_tmp(2), myMv_tmp(2), bub_id, fmass_n, fbeta_c, myR_m, mygamma_m)
+            mydPbdt_tmp(2) = f_bpres_dot(myVapFlux, myR_tmp(2), myV_tmp(2), myPb_tmp(2), myMv_tmp(2), bub_id, fbeta_t, myR_m, mygamma_m)
+            mydMvdt_tmp(2) = 4._wp*pi*myR_tmp(2)**2._wp*myVapFlux
+            Pb_tmp = myPb_tmp(2)
+            Pbdot_tmp = mydPbdt_tmp(2)
+        end if
+        myA_tmp(2) = f_rddot(fRho, fP, myR_tmp(2), myV_tmp(2), fR0, &
+                             Pb_tmp, Pbdot_tmp, alf, fntait, fBtait, &
+                             f_bub_adv_src, f_divu, &
+                             fCson)
+
+        ! Stage 2
+        myR_tmp(3) = myR_tmp(1) + (h/4._wp)*(myV_tmp(1) + myV_tmp(2))
+        myV_tmp(3) = myV_tmp(1) + (h/4._wp)*(myA_tmp(1) + myA_tmp(2))
+        if (bubbles_lagrange) then
+            myPb_tmp(3) = myPb_tmp(1) + (h/4._wp)*(mydPbdt_tmp(1) + mydPbdt_tmp(2))
+            myMv_tmp(3) = myMv_tmp(1) + (h/4._wp)*(mydMvdt_tmp(1) + mydMvdt_tmp(2))
+
+            myVapFlux = f_vflux(myR_tmp(3), myV_tmp(3), myPb_tmp(3), myMv_tmp(3), bub_id, fmass_n, fbeta_c, myR_m, mygamma_m)
+            mydPbdt_tmp(3) = f_bpres_dot(myVapFlux, myR_tmp(3), myV_tmp(3), myPb_tmp(3), myMv_tmp(3), bub_id, fbeta_t, myR_m, mygamma_m)
+            mydMvdt_tmp(3) = 4._wp*pi*myR_tmp(3)**2._wp*myVapFlux
+            Pb_tmp = myPb_tmp(3)
+            Pbdot_tmp = mydPbdt_tmp(3)
+        end if
+        myA_tmp(3) = f_rddot(fRho, fP, myR_tmp(3), myV_tmp(3), fR0, &
+                             Pb_tmp, Pbdot_tmp, alf, fntait, fBtait, &
+                             f_bub_adv_src, f_divu, &
+                             fCson)
+
+        ! Stage 3
+        myR_tmp(4) = myR_tmp(1) + (h/6._wp)*(myV_tmp(1) + myV_tmp(2) + 4._wp*myV_tmp(3))
+        myV_tmp(4) = myV_tmp(1) + (h/6._wp)*(myA_tmp(1) + myA_tmp(2) + 4._wp*myA_tmp(3))
+        if (bubbles_lagrange) then
+            myPb_tmp(4) = myPb_tmp(1) + (h/6._wp)*(mydPbdt_tmp(1) + mydPbdt_tmp(2) + 4._wp*mydPbdt_tmp(3))
+            myMv_tmp(4) = myMv_tmp(1) + (h/6._wp)*(mydMvdt_tmp(1) + mydMvdt_tmp(2) + 4._wp*mydMvdt_tmp(3))
+
+            myVapFlux = f_vflux(myR_tmp(4), myV_tmp(4), myPb_tmp(4), myMv_tmp(4), bub_id, fmass_n, fbeta_c, myR_m, mygamma_m)
+            mydPbdt_tmp(4) = f_bpres_dot(myVapFlux, myR_tmp(4), myV_tmp(4), myPb_tmp(4), myMv_tmp(4), bub_id, fbeta_t, myR_m, mygamma_m)
+            mydMvdt_tmp(4) = 4._wp*pi*myR_tmp(4)**2._wp*myVapFlux
+            Pb_tmp = myPb_tmp(4)
+            Pbdot_tmp = mydPbdt_tmp(4)
+        end if
+        myA_tmp(4) = f_rddot(fRho, fP, myR_tmp(4), myV_tmp(4), fR0, &
+                             Pb_tmp, Pbdot_tmp, alf, fntait, fBtait, &
+                             f_bub_adv_src, f_divu, &
+                             fCson)
+
+        ! Estimate error
+        err_R = (-5._wp*h/24._wp)*(myV_tmp(2) + myV_tmp(3) - 2._wp*myV_tmp(4)) &
+                /max(abs(myR_tmp(1)), abs(myR_tmp(4)))
+        err_V = (-5._wp*h/24._wp)*(myA_tmp(2) + myA_tmp(3) - 2._wp*myA_tmp(4)) &
+                /max(abs(myV_tmp(1)), abs(myV_tmp(4)))
+        ! Error correction for non-oscillating bubbles
+        if (bubbles_lagrange .and. myA_tmp(1) == 0._wp .and. myA_tmp(2) == 0._wp .and. &
+            myA_tmp(3) == 0._wp .and. myA_tmp(4) == 0._wp) then
+            err_V = 0._wp
+        end if
+        f_advance_substep = sqrt((err_R**2._wp + err_V**2._wp)/2._wp)
+
+    end function f_advance_substep
+
 end module m_bubbles
diff --git a/src/simulation/m_bubbles_EE.fpp b/src/simulation/m_bubbles_EE.fpp
index 91e8c5f30e..3c2d98325b 100644
--- a/src/simulation/m_bubbles_EE.fpp
+++ b/src/simulation/m_bubbles_EE.fpp
@@ -166,10 +166,8 @@ contains
 
         integer :: i, j, k, l, q, ii !< Loop variables
 
-        real(wp) :: err1, err2, err3, err4, err5 !< Error estimates for adaptive time stepping
-        real(wp) :: t_new !< Updated time step size
-        real(wp) :: h !< Time step size
-        real(wp), dimension(4) :: myR_tmp1, myV_tmp1, myR_tmp2, myV_tmp2 !< Bubble radius, radial velocity, and radial acceleration for the inner loop
+        integer :: dmBub_id !< Dummy variables for unified subgrid bubble subroutines
+        real(wp) :: dmMass_v, dmMass_n, dmBeta_c, dmBeta_t, dmCson
 
         !$acc parallel loop collapse(3) gang vector default(present)
         do l = 0, p
@@ -188,7 +186,7 @@ contains
             end do
         end do
 
-        !$acc parallel loop collapse(3) gang vector default(present) private(Rtmp, Vtmp, myalpha_rho, myalpha, myR_tmp1, myV_tmp1, myR_tmp2, myV_tmp2)
+        !$acc parallel loop collapse(3) gang vector default(present) private(Rtmp, Vtmp, myalpha_rho, myalpha)
         do l = 0, p
             do k = 0, n
                 do j = 0, m
@@ -269,7 +267,7 @@ contains
                             pb = q_prim_vf(ps(q))%sf(j, k, l)
                             mv = q_prim_vf(ms(q))%sf(j, k, l)
                             call s_bwproperty(pb, q)
-                            vflux = f_vflux(myR, myV, mv, q)
+                            vflux = f_vflux(myR, myV, pb, mv, q)
                             pbdot = f_bpres_dot(vflux, myR, myV, pb, mv, q)
 
                             bub_p_src(j, k, l, q) = nbub*pbdot
@@ -280,76 +278,12 @@ contains
 
                         ! Adaptive time stepping
                         if (adap_dt) then
-                            ! Determine the starting time step
-                            call s_initialize_adap_dt(myRho, myP, myR, myV, R0(q), &
-                                                      pb, pbdot, alf, n_tait, B_tait, &
-                                                      bub_adv_src(j, k, l), divu%sf(j, k, l), h)
-
-                            ! Advancing one step
-                            t_new = 0._wp
-                            do while (.true.)
-                                if (t_new + h > 0.5_wp*dt) then
-                                    h = 0.5_wp*dt - t_new
-                                end if
-
-                                ! Advancing one sub-step
-                                do while (.true.)
-                                    ! Advance one sub-step
-                                    call s_advance_substep(myRho, myP, myR, myV, R0(q), &
-                                                           pb, pbdot, alf, n_tait, B_tait, &
-                                                           bub_adv_src(j, k, l), divu%sf(j, k, l), h, &
-                                                           myR_tmp1, myV_tmp1, err1)
-
-                                    ! Advance one sub-step by advancing two half steps
-                                    call s_advance_substep(myRho, myP, myR, myV, R0(q), &
-                                                           pb, pbdot, alf, n_tait, B_tait, &
-                                                           bub_adv_src(j, k, l), divu%sf(j, k, l), 0.5_wp*h, &
-                                                           myR_tmp2, myV_tmp2, err2)
-
-                                    call s_advance_substep(myRho, myP, myR_tmp2(4), myV_tmp2(4), R0(q), &
-                                                           pb, pbdot, alf, n_tait, B_tait, &
-                                                           bub_adv_src(j, k, l), divu%sf(j, k, l), 0.5_wp*h, &
-                                                           myR_tmp2, myV_tmp2, err3)
-
-                                    err4 = abs((myR_tmp1(4) - myR_tmp2(4))/myR_tmp1(4))
-                                    err5 = abs((myV_tmp1(4) - myV_tmp2(4))/myV_tmp1(4))
-                                    if (abs(myV_tmp1(4)) < 1e-12_wp) err5 = 0._wp
-
-                                    ! Determine acceptance/rejection and update step size
-                                    !   Rule 1: err1, err2, err3 < tol
-                                    !   Rule 2: myR_tmp1(4) > 0._wp
-                                    !   Rule 3: abs((myR_tmp1(4) - myR_tmp2(4))/myR) < tol
-                                    !   Rule 4: abs((myV_tmp1(4) - myV_tmp2(4))/myV) < tol
-                                    if ((err1 <= 1e-4_wp) .and. (err2 <= 1e-4_wp) .and. (err3 <= 1e-4_wp) &
-                                        .and. (err4 < 1e-4_wp) .and. (err5 < 1e-4_wp) &
-                                        .and. myR_tmp1(4) > 0._wp) then
-
-                                        ! Accepted. Finalize the sub-step
-                                        t_new = t_new + h
-
-                                        ! Update R and V
-                                        myR = myR_tmp1(4)
-                                        myV = myV_tmp1(4)
-
-                                        ! Update step size for the next sub-step
-                                        h = h*min(2._wp, max(0.5_wp, (1e-4_wp/err1)**(1._wp/3._wp)))
-
-                                        exit
-                                    else
-                                        ! Rejected. Update step size for the next try on sub-step
-                                        if (err2 <= 1e-4_wp) then
-                                            h = 0.5_wp*h
-                                        else
-                                            h = 0.25_wp*h
-                                        end if
-
-                                    end if
-                                end do
-
-                                ! Exit the loop if the final time reached dt
-                                if (t_new == 0.5_wp*dt) exit
 
-                            end do
+                            call s_advance_step(myRho, myP, myR, myV, R0(q), &
+                                                pb, pbdot, alf, n_tait, B_tait, &
+                                                bub_adv_src(j, k, l), divu%sf(j, k, l), &
+                                                dmBub_id, dmMass_v, dmMass_n, dmBeta_c, &
+                                                dmBeta_t, dmCson)
 
                             q_cons_vf(rs(q))%sf(j, k, l) = nbub*myR
                             q_cons_vf(vs(q))%sf(j, k, l) = nbub*myV
@@ -357,7 +291,8 @@ contains
                         else
                             rddot = f_rddot(myRho, myP, myR, myV, R0(q), &
                                             pb, pbdot, alf, n_tait, B_tait, &
-                                            bub_adv_src(j, k, l), divu%sf(j, k, l))
+                                            bub_adv_src(j, k, l), divu%sf(j, k, l), &
+                                            dmCson)
                             bub_v_src(j, k, l, q) = nbub*rddot
                             bub_r_src(j, k, l, q) = q_cons_vf(vs(q))%sf(j, k, l)
                         end if
@@ -399,179 +334,4 @@ contains
         end if
     end subroutine s_compute_bubble_EE_source
 
-    !> Choose the initial time step size for the adaptive time stepping routine
-        !!  (See Heirer, E. Hairer S.P.Nørsett G. Wanner, Solving Ordinary
-        !!  Differential Equations I, Chapter II.4)
-        !!  @param fRho Current density
-        !!  @param fP Current driving pressure
-        !!  @param fR Current bubble radius
-        !!  @param fV Current bubble velocity
-        !!  @param fR0 Equilibrium bubble radius
-        !!  @param fpb Internal bubble pressure
-        !!  @param fpbdot Time-derivative of internal bubble pressure
-        !!  @param alf bubble volume fraction
-        !!  @param fntait Tait EOS parameter
-        !!  @param fBtait Tait EOS parameter
-        !!  @param f_bub_adv_src Source for bubble volume fraction
-        !!  @param f_divu Divergence of velocity
-        !!  @param h Time step size
-    subroutine s_initialize_adap_dt(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
-                                    fntait, fBtait, f_bub_adv_src, f_divu, h)
-        !$acc routine seq
-        real(wp), intent(IN) :: fRho, fP, fR, fV, fR0, fpb, fpbdot, alf
-        real(wp), intent(IN) :: fntait, fBtait, f_bub_adv_src, f_divu
-        real(wp), intent(out) :: h
-
-        real(wp) :: h0, h1 !< Time step size
-        real(wp) :: d_0, d_1, d_2 !< norms
-        real(wp), dimension(2) :: myR_tmp, myV_tmp, myA_tmp !< Bubble radius, radial velocity, and radial acceleration
-
-        ! Determine the starting time step
-        ! Evaluate f(x0,y0)
-        myR_tmp(1) = fR
-        myV_tmp(1) = fV
-        myA_tmp(1) = f_rddot(fRho, fP, myR_tmp(1), myV_tmp(1), fR0, &
-                             fpb, fpbdot, alf, fntait, fBtait, &
-                             f_bub_adv_src, f_divu)
-
-        ! Compute d_0 = ||y0|| and d_1 = ||f(x0,y0)||
-        d_0 = sqrt((myR_tmp(1)**2._wp + myV_tmp(1)**2._wp)/2._wp)
-        d_1 = sqrt((myV_tmp(1)**2._wp + myA_tmp(1)**2._wp)/2._wp)
-        if (d_0 < 1e-5_wp .or. d_1 < 1e-5_wp) then
-            h0 = 1e-6_wp
-        else
-            h0 = 1e-2_wp*(d_0/d_1)
-        end if
-
-        ! Evaluate f(x0+h0,y0+h0*f(x0,y0))
-        myR_tmp(2) = myR_tmp(1) + h0*myV_tmp(1)
-        myV_tmp(2) = myV_tmp(1) + h0*myA_tmp(1)
-        myA_tmp(2) = f_rddot(fRho, fP, myR_tmp(2), myV_tmp(2), fR0, &
-                             fpb, fpbdot, alf, fntait, fBtait, &
-                             f_bub_adv_src, f_divu)
-
-        ! Compute d_2 = ||f(x0+h0,y0+h0*f(x0,y0))-f(x0,y0)||/h0
-        d_2 = sqrt(((myV_tmp(2) - myV_tmp(1))**2._wp + (myA_tmp(2) - myA_tmp(1))**2._wp)/2._wp)/h0
-
-        ! Set h1 = (0.01/max(d_1,d_2))^{1/(p+1)}
-        !      if max(d_1,d_2) < 1e-15_wp, h1 = max(1e-6_wp, h0*1e-3_wp)
-        if (max(d_1, d_2) < 1e-15_wp) then
-            h1 = max(1e-6_wp, h0*1e-3_wp)
-        else
-            h1 = (1e-2_wp/max(d_1, d_2))**(1._wp/3._wp)
-        end if
-
-        h = min(100._wp*h0, h1)
-
-    end subroutine s_initialize_adap_dt
-
-    !>  Integrate bubble variables over the given time step size, h
-        !!  @param fRho Current density
-        !!  @param fP Current driving pressure
-        !!  @param fR Current bubble radius
-        !!  @param fV Current bubble velocity
-        !!  @param fR0 Equilibrium bubble radius
-        !!  @param fpb Internal bubble pressure
-        !!  @param fpbdot Time-derivative of internal bubble pressure
-        !!  @param alf bubble volume fraction
-        !!  @param fntait Tait EOS parameter
-        !!  @param fBtait Tait EOS parameter
-        !!  @param f_bub_adv_src Source for bubble volume fraction
-        !!  @param f_divu Divergence of velocity
-        !!  @param h Time step size
-        !!  @param myR_tmp Bubble radius at each stage
-        !!  @param myV_tmp Bubble radial velocity at each stage
-        !!  @param err Estimated error
-    subroutine s_advance_substep(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
-                                 fntait, fBtait, f_bub_adv_src, f_divu, h, &
-                                 myR_tmp, myV_tmp, err)
-        !$acc routine seq
-        real(wp), intent(IN) :: fRho, fP, fR, fV, fR0, fpb, fpbdot, alf
-        real(wp), intent(IN) :: fntait, fBtait, f_bub_adv_src, f_divu, h
-        real(wp), dimension(4), intent(OUT) :: myR_tmp, myV_tmp
-        real(wp), dimension(4) :: myA_tmp
-        real(wp), intent(OUT) :: err
-        real(wp) :: err_R, err_V
-
-        ! Stage 0
-        myR_tmp(1) = fR
-        myV_tmp(1) = fV
-        myA_tmp(1) = f_rddot(fRho, fP, myR_tmp(1), myV_tmp(1), fR0, &
-                             fpb, fpbdot, alf, fntait, fBtait, &
-                             f_bub_adv_src, f_divu)
-
-        ! Stage 1
-        myR_tmp(2) = myR_tmp(1) + h*myV_tmp(1)
-        myV_tmp(2) = myV_tmp(1) + h*myA_tmp(1)
-        myA_tmp(2) = f_rddot(fRho, fP, myR_tmp(2), myV_tmp(2), fR0, &
-                             fpb, fpbdot, alf, fntait, fBtait, &
-                             f_bub_adv_src, f_divu)
-
-        ! Stage 2
-        myR_tmp(3) = myR_tmp(1) + (h/4._wp)*(myV_tmp(1) + myV_tmp(2))
-        myV_tmp(3) = myV_tmp(1) + (h/4._wp)*(myA_tmp(1) + myA_tmp(2))
-        myA_tmp(3) = f_rddot(fRho, fP, myR_tmp(3), myV_tmp(3), fR0, &
-                             fpb, fpbdot, alf, fntait, fBtait, &
-                             f_bub_adv_src, f_divu)
-
-        ! Stage 3
-        myR_tmp(4) = myR_tmp(1) + (h/6._wp)*(myV_tmp(1) + myV_tmp(2) + 4._wp*myV_tmp(3))
-        myV_tmp(4) = myV_tmp(1) + (h/6._wp)*(myA_tmp(1) + myA_tmp(2) + 4._wp*myA_tmp(3))
-        myA_tmp(4) = f_rddot(fRho, fP, myR_tmp(4), myV_tmp(4), fR0, &
-                             fpb, fpbdot, alf, fntait, fBtait, &
-                             f_bub_adv_src, f_divu)
-
-        ! Estimate error
-        err_R = (-5._wp*h/24._wp)*(myV_tmp(2) + myV_tmp(3) - 2._wp*myV_tmp(4)) &
-                /max(abs(myR_tmp(1)), abs(myR_tmp(4)))
-        err_V = (-5._wp*h/24._wp)*(myA_tmp(2) + myA_tmp(3) - 2._wp*myA_tmp(4)) &
-                /max(abs(myV_tmp(1)), abs(myV_tmp(4)))
-        err = sqrt((err_R**2._wp + err_V**2._wp)/2._wp)
-
-    end subroutine s_advance_substep
-
-    !> Function that computes the bubble radial acceleration based on bubble models
-        !!  @param fRho Current density
-        !!  @param fP Current driving pressure
-        !!  @param fR Current bubble radius
-        !!  @param fV Current bubble velocity
-        !!  @param fR0 Equilibrium bubble radius
-        !!  @param fpb Internal bubble pressure
-        !!  @param fpbdot Time-derivative of internal bubble pressure
-        !!  @param alf bubble volume fraction
-        !!  @param fntait Tait EOS parameter
-        !!  @param fBtait Tait EOS parameter
-        !!  @param f_bub_adv_src Source for bubble volume fraction
-        !!  @param f_divu Divergence of velocity
-    function f_rddot(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, fntait, fBtait, f_bub_adv_src, f_divu)
-        !$acc routine seq
-        real(wp), intent(in) :: fRho, fP, fR, fV, fR0, fpb, fpbdot, alf
-        real(wp), intent(in) :: fntait, fBtait, f_bub_adv_src, f_divu
-
-        real(wp) :: fCpbw, fCpinf, fCpinf_dot, fH, fHdot, c_gas, c_liquid
-        real(wp) :: f_rddot
-
-        if (bubble_model == 1) then
-            ! Gilmore bubbles
-            fCpinf = fP - pref
-            fCpbw = f_cpbw(fR0, fR, fV, fpb)
-            fH = f_H(fCpbw, fCpinf, fntait, fBtait)
-            c_gas = f_cgas(fCpinf, fntait, fBtait, fH)
-            fCpinf_dot = f_cpinfdot(fRho, fP, alf, fntait, fBtait, f_bub_adv_src, f_divu)
-            fHdot = f_Hdot(fCpbw, fCpinf, fCpinf_dot, fntait, fBtait, fR, fV, fR0, fpbdot)
-            f_rddot = f_rddot_G(fCpbw, fR, fV, fH, fHdot, c_gas, fntait, fBtait)
-        else if (bubble_model == 2) then
-            ! Keller-Miksis bubbles
-            fCpinf = fP
-            fCpbw = f_cpbw_KM(fR0, fR, fV, fpb)
-            c_liquid = sqrt(fntait*(fP + fBtait)/(fRho*(1._wp - alf)))
-            f_rddot = f_rddot_KM(fpbdot, fCpinf, fCpbw, fRho, fR, fV, fR0, c_liquid)
-        else if (bubble_model == 3) then
-            ! Rayleigh-Plesset bubbles
-            fCpbw = f_cpbw_KM(fR0, fR, fV, fpb)
-            f_rddot = f_rddot_RP(fP, fRho, fR, fV, fR0, fCpbw)
-        end if
-
-    end function f_rddot
-
 end module m_bubbles_EE
diff --git a/src/simulation/m_bubbles_EL.fpp b/src/simulation/m_bubbles_EL.fpp
index e07ded2c38..3e20110e92 100644
--- a/src/simulation/m_bubbles_EL.fpp
+++ b/src/simulation/m_bubbles_EL.fpp
@@ -89,7 +89,7 @@ contains
         elseif (lag_params%solver_approach == 2) then
             ! Two-way coupling
             q_beta_idx = 4
-            if (lag_params%cluster_type >= 4) then
+            if (p == 0) then
                 !Subgrid noise model for 2D approximation
                 q_beta_idx = 6
             end if
@@ -482,119 +482,116 @@ contains
 
     end subroutine s_restart_bubbles
 
-    !>  Contains the two-way and one-way Euler-Lagrange coupled algorithm, including the bubble dynamics subroutines.
+    !>  Contains the bubble dynamics subroutines.
         !! @param q_cons_vf Conservative variables
         !! @param q_prim_vf Primitive variables
         !! @param rhs_vf Calculated change of conservative variables
         !! @param stage Current stage in the time-stepper algorithm
-    subroutine s_compute_EL_coupled_solver(q_cons_vf, q_prim_vf, rhs_vf, stage)
+    subroutine s_compute_bubble_EL_dynamics(q_cons_vf, q_prim_vf, t_step, rhs_vf, stage)
 
         type(scalar_field), dimension(sys_size), intent(inout) :: q_cons_vf
         type(scalar_field), dimension(sys_size), intent(inout) :: q_prim_vf
         type(scalar_field), dimension(sys_size), intent(inout) :: rhs_vf
-        integer, intent(in) :: stage
+        integer, intent(in) :: t_step, stage
 
-        real(wp) :: vaporflux, pliqint
-        real(wp) :: preterm1, term2, paux, pint, Romega, term1_fac, Rb
-        real(wp) :: conc_v, R_m, gamma_m, fpb, fmass_n, fmass_v
-        real(wp) :: fR, fV, fbeta_c, fbeta_t, fR0, fpbdt
-        real(wp) :: pinf, aux1, aux2, velint, cson, rhol
+        real(wp) :: myVapFlux
+        real(wp) :: preterm1, term2, paux, pint, Romega, term1_fac
+        real(wp) :: myR_m, mygamma_m, myPb, myMass_n, myMass_v
+        real(wp) :: myR, myV, myBeta_c, myBeta_t, myR0, myPbdot, myMvdot
+        real(wp) :: myPinf, aux1, aux2, myCson, myRho
         real(wp) :: gamma, pi_inf, qv
         real(wp), dimension(contxe) :: myalpha_rho, myalpha
         real(wp), dimension(2) :: Re
         integer, dimension(3) :: cell
+        real(wp) :: dmalf, dmntait, dmBtait, dm_bub_adv_src, dm_divu !< Dummy variables for unified subgrid bubble subroutines
 
         integer :: i, k, l
 
         call nvtxStartRange("LAGRANGE-BUBBLE-DYNAMICS")
 
-        !< BUBBLE DYNAMICS
-
         ! Subgrid p_inf model based on Maeda and Colonius (2018).
         if (lag_params%pressure_corrector) then
             ! Calculate velocity potentials (valid for one bubble per cell)
             !$acc parallel loop gang vector default(present) private(k, cell)
             do k = 1, nBubs
                 call s_get_pinf(k, q_prim_vf, 2, paux, cell, preterm1, term2, Romega)
-                fR0 = bub_R0(k)
-                fR = intfc_rad(k, 2)
-                fV = intfc_vel(k, 2)
-                fpb = gas_p(k, 2)
-                pint = f_cpbw_KM(fR0, fR, fV, fpb)
-                pint = pint + 0.5_wp*fV**2._wp
+                myR0 = bub_R0(k)
+                myR = intfc_rad(k, 2)
+                myV = intfc_vel(k, 2)
+                myPb = gas_p(k, 2)
+                pint = f_cpbw_KM(myR0, myR, myV, myPb)
+                pint = pint + 0.5_wp*myV**2._wp
                 if (lag_params%cluster_type == 2) then
                     bub_dphidt(k) = (paux - pint) + term2
                     ! Accounting for the potential induced by the bubble averaged over the control volume
                     ! Note that this is based on the incompressible flow assumption near the bubble.
-                    Rb = intfc_rad(k, 2)
-                    term1_fac = 3._wp/2._wp*(Rb*(Romega**2._wp - Rb**2._wp))/(Romega**3._wp - Rb**3._wp)
+                    term1_fac = 3._wp/2._wp*(myR*(Romega**2._wp - myR**2._wp))/(Romega**3._wp - myR**3._wp)
                     bub_dphidt(k) = bub_dphidt(k)/(1._wp - term1_fac)
                 end if
             end do
         end if
 
         ! Radial motion model
-        if (bubble_model == 2) then
-            !$acc parallel loop gang vector default(present) private(k, myalpha_rho, myalpha, Re, cell) copyin(stage)
-            do k = 1, nBubs
-                ! Keller-Miksis model
-
-                ! Current bubble state
-                fpb = gas_p(k, 2)
-                fmass_n = gas_mg(k)
-                fmass_v = gas_mv(k, 2)
-                fR = intfc_rad(k, 2)
-                fV = intfc_vel(k, 2)
-                fbeta_c = gas_betaC(k)
-                fbeta_t = gas_betaT(k)
-                fR0 = bub_R0(k)
-
-                ! Mixture properties in the bubble
-                conc_v = 0._wp
-                if (lag_params%massTransfer_model) conc_v = 1._wp/(1._wp + (R_v/R_n)*(fpb/pv - 1._wp))
-                R_m = (fmass_n*R_n + fmass_v*R_v)
-                gamma_m = conc_v*gamma_v + (1._wp - conc_v)*gamma_n
-
-                ! Vapor and heat fluxes
-                vaporflux = f_vflux(fR, fV, fmass_v, k, fmass_n, fbeta_c, conc_v)
-                fpbdt = f_bpres_dot(vaporflux, fR, fV, fpb, fmass_v, k, fbeta_t, R_m, gamma_m, conc_v)
-                gas_dmvdt(k, stage) = 4._wp*pi*fR**2._wp*vaporflux
-
-                ! Pressure at the bubble wall
-                pliqint = f_cpbw_KM(fR0, fR, fV, fpb)
-
-                ! Obtaining driving pressure
-                call s_get_pinf(k, q_prim_vf, 1, pinf, cell, aux1, aux2)
-
-                ! Obtain liquid density and computing speed of sound from pinf
-                !$acc loop seq
-                do i = 1, contxe
-                    myalpha_rho(i) = q_prim_vf(advxb + i - 1)%sf(cell(1), cell(2), cell(3))* &
-                                     q_prim_vf(i)%sf(cell(1), cell(2), cell(3))
-                    myalpha(i) = q_prim_vf(advxb + i - 1)%sf(cell(1), cell(2), cell(3))
-                end do
-                call s_convert_species_to_mixture_variables_acc(rhol, gamma, pi_inf, qv, myalpha, &
-                                                                myalpha_rho, Re, cell(1), cell(2), cell(3))
-                call s_compute_cson_from_pinf(k, q_prim_vf, pinf, cell, rhol, gamma, pi_inf, cson)
+        !$acc parallel loop gang vector default(present) private(k, myalpha_rho, myalpha, Re, cell) copyin(stage)
+        do k = 1, nBubs
+            ! Keller-Miksis model
+
+            ! Current bubble state
+            myPb = gas_p(k, 2)
+            myMass_n = gas_mg(k)
+            myMass_v = gas_mv(k, 2)
+            myR = intfc_rad(k, 2)
+            myV = intfc_vel(k, 2)
+            myBeta_c = gas_betaC(k)
+            myBeta_t = gas_betaT(k)
+            myR0 = bub_R0(k)
+
+            ! Vapor and heat fluxes
+            myVapFlux = f_vflux(myR, myV, myPb, myMass_v, k, myMass_n, myBeta_c, myR_m, mygamma_m)
+            myPbdot = f_bpres_dot(myVapFlux, myR, myV, myPb, myMass_v, k, myBeta_t, myR_m, mygamma_m)
+            myMvdot = 4._wp*pi*myR**2._wp*myVapFlux
+
+            ! Obtaining driving pressure
+            call s_get_pinf(k, q_prim_vf, 1, myPinf, cell, aux1, aux2)
+
+            ! Obtain liquid density and computing speed of sound from pinf
+            !$acc loop seq
+            do i = 1, num_fluids
+                myalpha_rho(i) = q_prim_vf(i)%sf(cell(1), cell(2), cell(3))
+                myalpha(i) = q_prim_vf(E_idx + i)%sf(cell(1), cell(2), cell(3))
+            end do
+            call s_convert_species_to_mixture_variables_acc(myRho, gamma, pi_inf, qv, myalpha, &
+                                                            myalpha_rho, Re, cell(1), cell(2), cell(3))
+            call s_compute_cson_from_pinf(k, q_prim_vf, myPinf, cell, myRho, gamma, pi_inf, myCson)
 
-                ! Velocity correction due to massflux
-                velint = fV - gas_dmvdt(k, stage)/(4._wp*pi*fR**2._wp*rhol)
+            ! Adaptive time stepping
+            if (adap_dt) then
 
-                ! Interphase acceleration and update vars
-                intfc_dveldt(k, stage) = f_rddot_KM(fpbdt, pinf, pliqint, rhol, fR, velint, fR0, cson)
-                gas_dpdt(k, stage) = fpbdt
-                intfc_draddt(k, stage) = fV
+                call s_advance_step(myRho, myPinf, myR, myV, myR0, myPb, myPbdot, dmalf, &
+                                    dmntait, dmBtait, dm_bub_adv_src, dm_divu, &
+                                    k, myMass_v, myMass_n, myBeta_c, &
+                                    myBeta_t, myCson)
 
-            end do
-        else
-            if (proc_rank == 0) print *, 'WARNING: Lagrange bubbles work with Keller Miksis model!', &
-                ' Deactivating radial motion.'
-            !$acc parallel loop gang vector default(present) private(k) copyin(stage)
-            do k = 1, nBubs
-                intfc_dveldt(k, stage) = 0._wp
-                intfc_draddt(k, stage) = 0._wp
-            end do
-        end if
+                ! Update bubble state
+                intfc_rad(k, 1) = myR
+                intfc_vel(k, 1) = myV
+                gas_p(k, 1) = myPb
+                gas_mv(k, 1) = myMass_v
+
+            else
+
+                ! Radial acceleration from bubble models                   
+                intfc_dveldt(k, stage) = f_rddot(myRho, myPinf, myR, myV, myR0, &
+                                                myPb, myPbdot, dmalf, dmntait, dmBtait, &
+                                                dm_bub_adv_src, dm_divu, &
+                                                myCson)
+                intfc_draddt(k, stage) = myV
+                gas_dmvdt(k, stage) = myMvdot
+                gas_dpdt(k, stage) = myPbdot
+
+            end if
+
+        end do
 
         ! Bubbles remain in a fixed position
         !$acc parallel loop collapse(2) gang vector default(present) private(k) copyin(stage)
@@ -607,11 +604,105 @@ contains
 
         call nvtxEndRange
 
-        !< EULER-LAGRANGE COUPLING
-        call s_smear_voidfraction()
-        if (lag_params%solver_approach == 2) call s_add_rhs_sources(q_cons_vf, q_prim_vf, rhs_vf)
+    end subroutine s_compute_bubble_EL_dynamics
+
+    !>  The purpose of this subroutine is to obtain the bubble source terms based on Maeda and Colonius (2018)
+        !!      and add them to the RHS scalar field.
+        !! @param q_cons_vf Conservative variables
+        !! @param q_prim_vf Conservative variables
+        !! @param rhs_vf Time derivative of the conservative variables
+    subroutine s_compute_bubbles_EL_source(q_cons_vf, q_prim_vf, rhs_vf)
 
-    end subroutine s_compute_EL_coupled_solver
+        type(scalar_field), dimension(sys_size), intent(inout) :: q_cons_vf
+        type(scalar_field), dimension(sys_size), intent(inout) :: q_prim_vf
+        type(scalar_field), dimension(sys_size), intent(inout) :: rhs_vf
+
+        integer :: i, j, k, l
+
+        if (.not. adap_dt) call s_smear_voidfraction()
+
+        if (lag_params%solver_approach == 2) then
+
+            if (p == 0) then
+                !$acc parallel loop collapse(4) gang vector default(present)
+                do k = 0, p
+                    do j = 0, n
+                        do i = 0, m
+                            do l = 1, E_idx
+                                if (q_beta%vf(1)%sf(i, j, k) > (1._wp - lag_params%valmaxvoid)) then
+                                    rhs_vf(l)%sf(i, j, k) = rhs_vf(l)%sf(i, j, k) + &
+                                                            q_cons_vf(l)%sf(i, j, k)*(q_beta%vf(2)%sf(i, j, k) + &
+                                                                                      q_beta%vf(5)%sf(i, j, k))
+
+                                end if
+                            end do
+                        end do
+                    end do
+                end do
+            else
+                !$acc parallel loop collapse(4) gang vector default(present)
+                do k = 0, p
+                    do j = 0, n
+                        do i = 0, m
+                            do l = 1, E_idx
+                                if (q_beta%vf(1)%sf(i, j, k) > (1._wp - lag_params%valmaxvoid)) then
+                                    rhs_vf(l)%sf(i, j, k) = rhs_vf(l)%sf(i, j, k) + &
+                                                            q_cons_vf(l)%sf(i, j, k)/q_beta%vf(1)%sf(i, j, k)* &
+                                                            q_beta%vf(2)%sf(i, j, k)
+                                end if
+                            end do
+                        end do
+                    end do
+                end do
+            end if
+
+            do l = 1, num_dims
+
+                call s_gradient_dir(q_prim_vf(E_idx), q_beta%vf(3), l)
+
+                !$acc parallel loop collapse(3) gang vector default(present)
+                do k = 0, p
+                    do j = 0, n
+                        do i = 0, m
+                            if (q_beta%vf(1)%sf(i, j, k) > (1._wp - lag_params%valmaxvoid)) then
+                                rhs_vf(contxe + l)%sf(i, j, k) = rhs_vf(contxe + l)%sf(i, j, k) - &
+                                                                 (1._wp - q_beta%vf(1)%sf(i, j, k))/ &
+                                                                 q_beta%vf(1)%sf(i, j, k)* &
+                                                                 q_beta%vf(3)%sf(i, j, k)
+                            end if
+                        end do
+                    end do
+                end do
+
+                !source in energy
+                !$acc parallel loop collapse(3) gang vector default(present)
+                do k = idwbuff(3)%beg, idwbuff(3)%end
+                    do j = idwbuff(2)%beg, idwbuff(2)%end
+                        do i = idwbuff(1)%beg, idwbuff(1)%end
+                            q_beta%vf(3)%sf(i, j, k) = q_prim_vf(E_idx)%sf(i, j, k)*q_prim_vf(contxe + l)%sf(i, j, k)
+                        end do
+                    end do
+                end do
+
+                call s_gradient_dir(q_beta%vf(3), q_beta%vf(4), l)
+
+                !$acc parallel loop collapse(3) gang vector default(present)
+                do k = 0, p
+                    do j = 0, n
+                        do i = 0, m
+                            if (q_beta%vf(1)%sf(i, j, k) > (1._wp - lag_params%valmaxvoid)) then
+                                rhs_vf(E_idx)%sf(i, j, k) = rhs_vf(E_idx)%sf(i, j, k) - &
+                                                            q_beta%vf(4)%sf(i, j, k)*(1._wp - q_beta%vf(1)%sf(i, j, k))/ &
+                                                            q_beta%vf(1)%sf(i, j, k)
+                            end if
+                        end do
+                    end do
+                end do
+            end do
+
+        end if
+
+    end subroutine s_compute_bubbles_EL_source
 
     !>  This procedure computes the speed of sound from a given driving pressure
         !! @param bub_id Bubble id
@@ -686,97 +777,6 @@ contains
 
     end subroutine s_smear_voidfraction
 
-    !>  The purpose of this subroutine is to obtain the bubble source terms based on Maeda and Colonius (2018)
-        !!      and add them to the RHS scalar field.
-        !! @param q_cons_vf Conservative variables
-        !! @param q_prim_vf Conservative variables
-        !! @param rhs_vf Time derivative of the conservative variables
-    subroutine s_add_rhs_sources(q_cons_vf, q_prim_vf, rhs_vf)
-
-        type(scalar_field), dimension(sys_size), intent(inout) :: q_cons_vf
-        type(scalar_field), dimension(sys_size), intent(inout) :: rhs_vf
-        type(scalar_field), dimension(sys_size), intent(inout) :: q_prim_vf
-
-        integer :: i, j, k, l
-
-        if (lag_params%cluster_type >= 4) then
-            !$acc parallel loop collapse(4) gang vector default(present)
-            do k = 0, p
-                do j = 0, n
-                    do i = 0, m
-                        do l = 1, E_idx
-                            if (q_beta%vf(1)%sf(i, j, k) > (1._wp - lag_params%valmaxvoid)) then
-                                rhs_vf(l)%sf(i, j, k) = rhs_vf(l)%sf(i, j, k) + &
-                                                        q_cons_vf(l)%sf(i, j, k)*(q_beta%vf(2)%sf(i, j, k) + &
-                                                                                  q_beta%vf(5)%sf(i, j, k))
-                            end if
-                        end do
-                    end do
-                end do
-            end do
-        else
-            !$acc parallel loop collapse(4) gang vector default(present)
-            do k = 0, p
-                do j = 0, n
-                    do i = 0, m
-                        do l = 1, E_idx
-                            if (q_beta%vf(1)%sf(i, j, k) > (1._wp - lag_params%valmaxvoid)) then
-                                rhs_vf(l)%sf(i, j, k) = rhs_vf(l)%sf(i, j, k) + &
-                                                        q_cons_vf(l)%sf(i, j, k)/q_beta%vf(1)%sf(i, j, k)* &
-                                                        q_beta%vf(2)%sf(i, j, k)
-                            end if
-                        end do
-                    end do
-                end do
-            end do
-        end if
-
-        do l = 1, num_dims
-
-            call s_gradient_dir(q_prim_vf(E_idx), q_beta%vf(3), l)
-
-            !$acc parallel loop collapse(3) gang vector default(present)
-            do k = 0, p
-                do j = 0, n
-                    do i = 0, m
-                        if (q_beta%vf(1)%sf(i, j, k) > (1._wp - lag_params%valmaxvoid)) then
-                            rhs_vf(contxe + l)%sf(i, j, k) = rhs_vf(contxe + l)%sf(i, j, k) - &
-                                                             (1._wp - q_beta%vf(1)%sf(i, j, k))/ &
-                                                             q_beta%vf(1)%sf(i, j, k)* &
-                                                             q_beta%vf(3)%sf(i, j, k)
-                        end if
-                    end do
-                end do
-            end do
-
-            !source in energy
-            !$acc parallel loop collapse(3) gang vector default(present)
-            do k = idwbuff(3)%beg, idwbuff(3)%end
-                do j = idwbuff(2)%beg, idwbuff(2)%end
-                    do i = idwbuff(1)%beg, idwbuff(1)%end
-                        q_beta%vf(3)%sf(i, j, k) = q_prim_vf(E_idx)%sf(i, j, k)*q_prim_vf(contxe + l)%sf(i, j, k)
-                    end do
-                end do
-            end do
-
-            call s_gradient_dir(q_beta%vf(3), q_beta%vf(4), l)
-
-            !$acc parallel loop collapse(3) gang vector default(present)
-            do k = 0, p
-                do j = 0, n
-                    do i = 0, m
-                        if (q_beta%vf(1)%sf(i, j, k) > (1._wp - lag_params%valmaxvoid)) then
-                            rhs_vf(E_idx)%sf(i, j, k) = rhs_vf(E_idx)%sf(i, j, k) - &
-                                                        q_beta%vf(4)%sf(i, j, k)*(1._wp - q_beta%vf(1)%sf(i, j, k))/ &
-                                                        q_beta%vf(1)%sf(i, j, k)
-                        end if
-                    end do
-                end do
-            end do
-        end do
-
-    end subroutine s_add_rhs_sources
-
     !> The purpose of this procedure is obtain the bubble driving pressure p_inf
         !! @param bub_id Particle identifier
         !! @param q_prim_vf  Primitive variables
@@ -1324,11 +1324,13 @@ contains
         integer :: k
 
         character(LEN=path_len + 2*name_len) :: file_loc
+        logical :: file_exist
 
         write (file_loc, '(A,I0,A)') 'lag_bubble_evol_', proc_rank, '.dat'
         file_loc = trim(case_dir)//'/D/'//trim(file_loc)
+        inquire (FILE=trim(file_loc), EXIST=file_exist)
 
-        if (qtime == 0._wp) then
+        if (.not. file_exist) then
             open (11, FILE=trim(file_loc), FORM='formatted', position='rewind')
             write (11, *) 'currentTime, particleID, x, y, z, ', &
                 'coreVaporMass, coreVaporConcentration, radius, interfaceVelocity, ', &
@@ -1368,14 +1370,15 @@ contains
         real(wp) :: void_max_glb, void_avg_glb, vol_glb
 
         integer :: i, j, k
-        integer, dimension(3) :: cell
 
         character(LEN=path_len + 2*name_len) :: file_loc
+        logical :: file_exist
 
         if (proc_rank == 0) then
             write (file_loc, '(A)') 'voidfraction.dat'
             file_loc = trim(case_dir)//'/D/'//trim(file_loc)
-            if (qtime == 0._wp) then
+            inquire (FILE=trim(file_loc), EXIST=file_exist)
+            if (.not. file_exist) then
                 open (12, FILE=trim(file_loc), FORM='formatted', position='rewind')
                 !write (12, *) 'currentTime, averageVoidFraction, ', &
                 !    'maximumVoidFraction, totalParticlesVolume'
diff --git a/src/simulation/m_checker.fpp b/src/simulation/m_checker.fpp
index 728d962385..c8fd9676b7 100644
--- a/src/simulation/m_checker.fpp
+++ b/src/simulation/m_checker.fpp
@@ -278,8 +278,8 @@ contains
     subroutine s_check_inputs_adapt_dt
         @:PROHIBIT(adap_dt .and. time_stepper /= 3, "adapt_dt requires Runge-Kutta 3 (time_stepper = 3)")
         @:PROHIBIT(adap_dt .and. qbmm)
-        @:PROHIBIT(adap_dt .and. (.not. polytropic))
-        @:PROHIBIT(adap_dt .and. (.not. adv_n))
+        @:PROHIBIT(adap_dt .and. (.not. polytropic) .and. (.not. bubbles_lagrange))
+        @:PROHIBIT(adap_dt .and. (.not. adv_n) .and. (.not. bubbles_lagrange))
     end subroutine s_check_inputs_adapt_dt
 
     !> Checks constraints on alternative sound speed parameters (alt_soundspeed)
diff --git a/src/simulation/m_rhs.fpp b/src/simulation/m_rhs.fpp
index 09e4a17390..2e8f69ff6b 100644
--- a/src/simulation/m_rhs.fpp
+++ b/src/simulation/m_rhs.fpp
@@ -35,6 +35,8 @@ module m_rhs
 
     use m_bubbles_EE           !< Ensemble-averaged bubble dynamics routines
 
+    use m_bubbles_EL           !< Volume-averaged bubble dynamics routines
+
     use m_qbmm                 !< Moment inversion
 
     use m_hypoelastic
@@ -609,7 +611,7 @@ contains
 
     end subroutine s_initialize_rhs_module
 
-    subroutine s_compute_rhs(q_cons_vf, q_T_sf, q_prim_vf, rhs_vf, pb, rhs_pb, mv, rhs_mv, t_step, time_avg)
+    subroutine s_compute_rhs(q_cons_vf, q_T_sf, q_prim_vf, rhs_vf, pb, rhs_pb, mv, rhs_mv, t_step, time_avg, stage)
 
         type(scalar_field), dimension(sys_size), intent(inout) :: q_cons_vf
         type(scalar_field), intent(inout) :: q_T_sf
@@ -619,6 +621,7 @@ contains
         real(wp), dimension(idwbuff(1)%beg:, idwbuff(2)%beg:, idwbuff(3)%beg:, 1:, 1:), intent(inout) :: mv, rhs_mv
         integer, intent(in) :: t_step
         real(wp), intent(inout) :: time_avg
+        integer, intent(in) :: stage
 
         real(wp), dimension(0:m, 0:n, 0:p) :: nbub
         real(wp) :: t_start, t_finish
@@ -899,6 +902,27 @@ contains
             call nvtxEndRange
         end if
 
+        if (bubbles_lagrange) then
+            ! RHS additions for sub-grid bubbles_lagrange
+            call nvtxStartRange("RHS-EL-BUBBLES-SRC")
+            call s_compute_bubbles_EL_source( &
+                q_cons_qp%vf(1:sys_size), &
+                q_prim_qp%vf(1:sys_size), &
+                rhs_vf)
+            call nvtxEndRange
+            ! Compute bubble dynamics
+            if (.not. adap_dt) then
+                call nvtxStartRange("RHS-EL-BUBBLES-DYN")
+                call s_compute_bubble_EL_dynamics( &
+                    q_cons_qp%vf(1:sys_size), &
+                    q_prim_qp%vf(1:sys_size), &
+                    t_step, &
+                    rhs_vf, &
+                    stage)
+                call nvtxEndRange
+            end if
+        end if
+
         if (chemistry .and. chem_params%reactions) then
             call nvtxStartRange("RHS-CHEM-REACTIONS")
             call s_compute_chemistry_reaction_flux(rhs_vf, q_cons_qp%vf, q_T_sf, q_prim_qp%vf, idwint)
diff --git a/src/simulation/m_time_steppers.fpp b/src/simulation/m_time_steppers.fpp
index 891123f1a9..60227049da 100644
--- a/src/simulation/m_time_steppers.fpp
+++ b/src/simulation/m_time_steppers.fpp
@@ -310,7 +310,7 @@ contains
         ! Stage 1 of 1
         call nvtxStartRange("TIMESTEP")
 
-        call s_compute_rhs(q_cons_ts(1)%vf, q_T_sf, q_prim_vf, rhs_vf, pb_ts(1)%sf, rhs_pb, mv_ts(1)%sf, rhs_mv, t_step, time_avg)
+        call s_compute_rhs(q_cons_ts(1)%vf, q_T_sf, q_prim_vf, rhs_vf, pb_ts(1)%sf, rhs_pb, mv_ts(1)%sf, rhs_mv, t_step, time_avg, 1)
 
 #ifdef DEBUG
         print *, 'got rhs'
@@ -334,10 +334,7 @@ contains
             if (t_step == t_step_stop) return
         end if
 
-        if (bubbles_lagrange) then
-            call s_compute_EL_coupled_solver(q_cons_ts(1)%vf, q_prim_vf, rhs_vf, stage=1)
-            call s_update_lagrange_tdv_rk(stage=1)
-        end if
+        if (bubbles_lagrange .and. .not. adap_dt) call s_update_lagrange_tdv_rk(stage=1)
 
         !$acc parallel loop collapse(4) gang vector default(present)
         do i = 1, sys_size
@@ -423,7 +420,7 @@ contains
 
         call nvtxStartRange("TIMESTEP")
 
-        call s_compute_rhs(q_cons_ts(1)%vf, q_T_sf, q_prim_vf, rhs_vf, pb_ts(1)%sf, rhs_pb, mv_ts(1)%sf, rhs_mv, t_step, time_avg)
+        call s_compute_rhs(q_cons_ts(1)%vf, q_T_sf, q_prim_vf, rhs_vf, pb_ts(1)%sf, rhs_pb, mv_ts(1)%sf, rhs_mv, t_step, time_avg, 1)
 
         if (run_time_info) then
             call s_write_run_time_information(q_prim_vf, t_step)
@@ -439,10 +436,7 @@ contains
             if (t_step == t_step_stop) return
         end if
 
-        if (bubbles_lagrange) then
-            call s_compute_EL_coupled_solver(q_cons_ts(1)%vf, q_prim_vf, rhs_vf, stage=1)
-            call s_update_lagrange_tdv_rk(stage=1)
-        end if
+        if (bubbles_lagrange .and. .not. adap_dt) call s_update_lagrange_tdv_rk(stage=1)
 
         !$acc parallel loop collapse(4) gang vector default(present)
         do i = 1, sys_size
@@ -512,12 +506,9 @@ contains
 
         ! Stage 2 of 2
 
-        call s_compute_rhs(q_cons_ts(2)%vf, q_T_sf, q_prim_vf, rhs_vf, pb_ts(2)%sf, rhs_pb, mv_ts(2)%sf, rhs_mv, t_step, time_avg)
+        call s_compute_rhs(q_cons_ts(2)%vf, q_T_sf, q_prim_vf, rhs_vf, pb_ts(2)%sf, rhs_pb, mv_ts(2)%sf, rhs_mv, t_step, time_avg, 2)
 
-        if (bubbles_lagrange) then
-            call s_compute_EL_coupled_solver(q_cons_ts(2)%vf, q_prim_vf, rhs_vf, stage=2)
-            call s_update_lagrange_tdv_rk(stage=2)
-        end if
+        if (bubbles_lagrange .and. .not. adap_dt) call s_update_lagrange_tdv_rk(stage=2)
 
         !$acc parallel loop collapse(4) gang vector default(present)
         do i = 1, sys_size
@@ -611,7 +602,7 @@ contains
             call nvtxStartRange("TIMESTEP")
         end if
 
-        call s_compute_rhs(q_cons_ts(1)%vf, q_T_sf, q_prim_vf, rhs_vf, pb_ts(1)%sf, rhs_pb, mv_ts(1)%sf, rhs_mv, t_step, time_avg)
+        call s_compute_rhs(q_cons_ts(1)%vf, q_T_sf, q_prim_vf, rhs_vf, pb_ts(1)%sf, rhs_pb, mv_ts(1)%sf, rhs_mv, t_step, time_avg, 1)
 
         if (run_time_info) then
             call s_write_run_time_information(q_prim_vf, t_step)
@@ -627,10 +618,7 @@ contains
             if (t_step == t_step_stop) return
         end if
 
-        if (bubbles_lagrange) then
-            call s_compute_EL_coupled_solver(q_cons_ts(1)%vf, q_prim_vf, rhs_vf, stage=1)
-            call s_update_lagrange_tdv_rk(stage=1)
-        end if
+        if (bubbles_lagrange .and. .not. adap_dt) call s_update_lagrange_tdv_rk(stage=1)
 
         !$acc parallel loop collapse(4) gang vector default(present)
         do i = 1, sys_size
@@ -700,12 +688,9 @@ contains
 
         ! Stage 2 of 3
 
-        call s_compute_rhs(q_cons_ts(2)%vf, q_T_sf, q_prim_vf, rhs_vf, pb_ts(2)%sf, rhs_pb, mv_ts(2)%sf, rhs_mv, t_step, time_avg)
+        call s_compute_rhs(q_cons_ts(2)%vf, q_T_sf, q_prim_vf, rhs_vf, pb_ts(2)%sf, rhs_pb, mv_ts(2)%sf, rhs_mv, t_step, time_avg, 2)
 
-        if (bubbles_lagrange) then
-            call s_compute_EL_coupled_solver(q_cons_ts(2)%vf, q_prim_vf, rhs_vf, stage=2)
-            call s_update_lagrange_tdv_rk(stage=2)
-        end if
+        if (bubbles_lagrange .and. .not. adap_dt) call s_update_lagrange_tdv_rk(stage=2)
 
         !$acc parallel loop collapse(4) gang vector default(present)
         do i = 1, sys_size
@@ -776,12 +761,9 @@ contains
         end if
 
         ! Stage 3 of 3
-        call s_compute_rhs(q_cons_ts(2)%vf, q_T_sf, q_prim_vf, rhs_vf, pb_ts(2)%sf, rhs_pb, mv_ts(2)%sf, rhs_mv, t_step, time_avg)
+        call s_compute_rhs(q_cons_ts(2)%vf, q_T_sf, q_prim_vf, rhs_vf, pb_ts(2)%sf, rhs_pb, mv_ts(2)%sf, rhs_mv, t_step, time_avg, 3)
 
-        if (bubbles_lagrange) then
-            call s_compute_EL_coupled_solver(q_cons_ts(2)%vf, q_prim_vf, rhs_vf, stage=3)
-            call s_update_lagrange_tdv_rk(stage=3)
-        end if
+        if (bubbles_lagrange .and. .not. adap_dt) call s_update_lagrange_tdv_rk(stage=3)
 
         !$acc parallel loop collapse(4) gang vector default(present)
         do i = 1, sys_size
@@ -879,13 +861,13 @@ contains
         call nvtxStartRange("TIMESTEP")
 
         ! Stage 1 of 3
-        call s_adaptive_dt_bubble(t_step)
+        call s_adaptive_dt_bubble(t_step, 1)
 
         ! Stage 2 of 3
         call s_3rd_order_tvd_rk(t_step, time_avg)
 
         ! Stage 3 of 3
-        call s_adaptive_dt_bubble(t_step)
+        call s_adaptive_dt_bubble(t_step, 3)
 
         call nvtxEndRange
 
@@ -897,9 +879,9 @@ contains
 
     !> Bubble source part in Strang operator splitting scheme
         !! @param t_step Current time-step
-    subroutine s_adaptive_dt_bubble(t_step)
+    subroutine s_adaptive_dt_bubble(t_step, stage)
 
-        integer, intent(in) :: t_step
+        integer, intent(in) :: t_step, stage
 
         type(vector_field) :: gm_alpha_qp
 
@@ -910,9 +892,27 @@ contains
             idwint, &
             gm_alpha_qp%vf)
 
-        call s_compute_bubble_EE_source(q_cons_ts(1)%vf, q_prim_vf, t_step, rhs_vf)
+        if (bubbles_euler) then
 
-        call s_comp_alpha_from_n(q_cons_ts(1)%vf)
+            call s_compute_bubble_EE_source(q_cons_ts(1)%vf, q_prim_vf, t_step, rhs_vf)
+            call s_comp_alpha_from_n(q_cons_ts(1)%vf)
+
+        elseif (bubbles_lagrange) then
+
+            call s_populate_variables_buffers(q_prim_vf, pb_ts(1)%sf, mv_ts(1)%sf)
+            call s_compute_bubble_EL_dynamics(q_cons_ts(1)%vf, q_prim_vf, t_step, rhs_vf, stage)
+            call s_transfer_data_to_tmp()
+            call s_smear_voidfraction()
+            if (stage == 3) then
+                if (lag_params%write_bubbles_stats) call s_calculate_lag_bubble_stats()
+                if (lag_params%write_bubbles) then
+                    !$acc update host(gas_p, gas_mv, intfc_rad, intfc_vel)
+                    call s_write_lag_particles(mytime)
+                end if
+                call s_write_void_evol(mytime)
+            end if
+
+        end if
 
     end subroutine s_adaptive_dt_bubble
 
diff --git a/tests/016C1B8B/golden-metadata.txt b/tests/016C1B8B/golden-metadata.txt
index 8455c98080..ef5f2849b0 100644
--- a/tests/016C1B8B/golden-metadata.txt
+++ b/tests/016C1B8B/golden-metadata.txt
@@ -1,12 +1,12 @@
-This file was created on 2025-04-29 11:47:26.596988.
+This file was created on 2025-04-29 13:31:31.033331.
 
 mfc.sh:
 
     Invocation: test -j 4 -o Lagrange Bubbles --generate
     Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No & single=No
-    Git:        e927790ba0f3c2afaec15b437a172dc15270541f on master (dirty)
+    Git:        c6b2fe08e6d08650f06233b2b38ed4e0d8da82e4 on master (dirty)
 
-syscheck:
+simulation:
 
     CMake Configuration:
     
@@ -16,9 +16,9 @@ syscheck:
         Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
     
         PRE_PROCESS   : OFF
-        SIMULATION    : OFF
+        SIMULATION    : ON
         POST_PROCESS  : OFF
-        SYSCHECK      : ON
+        SYSCHECK      : OFF
         DOCUMENTATION : OFF
         ALL           : OFF
     
@@ -39,7 +39,7 @@ syscheck:
         OMPI_CXX : 
         OMPI_FC  : 
 
-pre_process:
+post_process:
 
     CMake Configuration:
     
@@ -48,9 +48,9 @@ pre_process:
         C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
         Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
     
-        PRE_PROCESS   : ON
+        PRE_PROCESS   : OFF
         SIMULATION    : OFF
-        POST_PROCESS  : OFF
+        POST_PROCESS  : ON
         SYSCHECK      : OFF
         DOCUMENTATION : OFF
         ALL           : OFF
@@ -72,7 +72,7 @@ pre_process:
         OMPI_CXX : 
         OMPI_FC  : 
 
-simulation:
+syscheck:
 
     CMake Configuration:
     
@@ -82,9 +82,9 @@ simulation:
         Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
     
         PRE_PROCESS   : OFF
-        SIMULATION    : ON
+        SIMULATION    : OFF
         POST_PROCESS  : OFF
-        SYSCHECK      : OFF
+        SYSCHECK      : ON
         DOCUMENTATION : OFF
         ALL           : OFF
     
@@ -105,7 +105,7 @@ simulation:
         OMPI_CXX : 
         OMPI_FC  : 
 
-post_process:
+pre_process:
 
     CMake Configuration:
     
@@ -114,9 +114,9 @@ post_process:
         C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
         Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
     
-        PRE_PROCESS   : OFF
+        PRE_PROCESS   : ON
         SIMULATION    : OFF
-        POST_PROCESS  : ON
+        POST_PROCESS  : OFF
         SYSCHECK      : OFF
         DOCUMENTATION : OFF
         ALL           : OFF
diff --git a/tests/016C1B8B/golden.txt b/tests/016C1B8B/golden.txt
index b66d8ef14a..175b1b4a0e 100644
--- a/tests/016C1B8B/golden.txt
+++ b/tests/016C1B8B/golden.txt
@@ -1,18 +1,18 @@
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diff --git a/tests/12ECE133/golden-metadata.txt b/tests/12ECE133/golden-metadata.txt
new file mode 100644
index 0000000000..e0828d2558
--- /dev/null
+++ b/tests/12ECE133/golden-metadata.txt
@@ -0,0 +1,150 @@
+This file was created on 2025-04-29 13:31:30.862096.
+
+mfc.sh:
+
+    Invocation: test -j 4 -o Lagrange Bubbles --generate
+    Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No & single=No
+    Git:        c6b2fe08e6d08650f06233b2b38ed4e0d8da82e4 on master (dirty)
+
+simulation:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : OFF
+        SIMULATION    : ON
+        POST_PROCESS  : OFF
+        SYSCHECK      : OFF
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+post_process:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : OFF
+        SIMULATION    : OFF
+        POST_PROCESS  : ON
+        SYSCHECK      : OFF
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+syscheck:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : OFF
+        SIMULATION    : OFF
+        POST_PROCESS  : OFF
+        SYSCHECK      : ON
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+pre_process:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : ON
+        SIMULATION    : OFF
+        POST_PROCESS  : OFF
+        SYSCHECK      : OFF
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+CPU:
+
+    CPU Info:
+    From sysctl -a 
+    machdep.cpu.cores_per_package: 8
+    machdep.cpu.core_count: 8
+    machdep.cpu.logical_per_package: 8
+    machdep.cpu.thread_count: 8
+    machdep.cpu.brand_string: Apple M3
+
diff --git a/tests/12ECE133/golden.txt b/tests/12ECE133/golden.txt
new file mode 100644
index 0000000000..b82a6a27ae
--- /dev/null
+++ b/tests/12ECE133/golden.txt
@@ -0,0 +1,18 @@
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\ No newline at end of file
diff --git a/tests/5B195322/golden-metadata.txt b/tests/5B195322/golden-metadata.txt
new file mode 100644
index 0000000000..0992c59cd6
--- /dev/null
+++ b/tests/5B195322/golden-metadata.txt
@@ -0,0 +1,150 @@
+This file was created on 2025-04-29 15:23:41.107706.
+
+mfc.sh:
+
+    Invocation: test -j 1 -o 5B195322 --generate
+    Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No & single=No
+    Git:        c6b2fe08e6d08650f06233b2b38ed4e0d8da82e4 on master (dirty)
+
+post_process:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : OFF
+        SIMULATION    : OFF
+        POST_PROCESS  : ON
+        SYSCHECK      : OFF
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+pre_process:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : ON
+        SIMULATION    : OFF
+        POST_PROCESS  : OFF
+        SYSCHECK      : OFF
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+syscheck:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : OFF
+        SIMULATION    : OFF
+        POST_PROCESS  : OFF
+        SYSCHECK      : ON
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+simulation:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : OFF
+        SIMULATION    : ON
+        POST_PROCESS  : OFF
+        SYSCHECK      : OFF
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+CPU:
+
+    CPU Info:
+    From sysctl -a 
+    machdep.cpu.cores_per_package: 8
+    machdep.cpu.core_count: 8
+    machdep.cpu.logical_per_package: 8
+    machdep.cpu.thread_count: 8
+    machdep.cpu.brand_string: Apple M3
+
diff --git a/tests/5B195322/golden.txt b/tests/5B195322/golden.txt
new file mode 100644
index 0000000000..9e20de5e7a
--- /dev/null
+++ b/tests/5B195322/golden.txt
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+D/voidfraction.dat 2.1096247e-06 2.1096247e-06 2.1096247e-06 2.1096251e-06 2.1096265e-06 2.10963e-06 2.109637e-06 2.1096496e-06 2.1096703e-06 2.1097021e-06 2.1097489e-06 2.1098148e-06 2.109905e-06 2.1100251e-06 2.1101815e-06 2.1103813e-06 2.1106323e-06 2.1109429e-06 2.1113223e-06 2.1117801e-06 2.1123268e-06 2.1129733e-06 2.1137309e-06 2.1146115e-06 2.1156274e-06 2.1167913e-06 2.1181161e-06 2.1196149e-06 2.1213009e-06 2.1231877e-06 2.1252886e-06 2.1276169e-06 2.130186e-06 2.1330089e-06 2.1360982e-06 2.1394664e-06 2.1431254e-06 2.1470866e-06 2.1513609e-06 2.1559583e-06 2.1608885e-06 2.1661602e-06 2.1717815e-06 2.1777599e-06 2.1841021e-06 2.190814e-06 2.1979011e-06 2.2053679e-06 2.2132186e-06 2.2214568e-06 2.2300854e-06
\ No newline at end of file
diff --git a/tests/CE7B0BC7/golden-metadata.txt b/tests/CE7B0BC7/golden-metadata.txt
index ace15aa9d9..952c90bc27 100644
--- a/tests/CE7B0BC7/golden-metadata.txt
+++ b/tests/CE7B0BC7/golden-metadata.txt
@@ -1,12 +1,12 @@
-This file was created on 2025-04-29 11:47:26.430230.
+This file was created on 2025-04-29 13:31:30.862729.
 
 mfc.sh:
 
     Invocation: test -j 4 -o Lagrange Bubbles --generate
     Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No & single=No
-    Git:        e927790ba0f3c2afaec15b437a172dc15270541f on master (dirty)
+    Git:        c6b2fe08e6d08650f06233b2b38ed4e0d8da82e4 on master (dirty)
 
-syscheck:
+simulation:
 
     CMake Configuration:
     
@@ -16,9 +16,9 @@ syscheck:
         Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
     
         PRE_PROCESS   : OFF
-        SIMULATION    : OFF
+        SIMULATION    : ON
         POST_PROCESS  : OFF
-        SYSCHECK      : ON
+        SYSCHECK      : OFF
         DOCUMENTATION : OFF
         ALL           : OFF
     
@@ -39,7 +39,7 @@ syscheck:
         OMPI_CXX : 
         OMPI_FC  : 
 
-pre_process:
+post_process:
 
     CMake Configuration:
     
@@ -48,9 +48,9 @@ pre_process:
         C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
         Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
     
-        PRE_PROCESS   : ON
+        PRE_PROCESS   : OFF
         SIMULATION    : OFF
-        POST_PROCESS  : OFF
+        POST_PROCESS  : ON
         SYSCHECK      : OFF
         DOCUMENTATION : OFF
         ALL           : OFF
@@ -72,7 +72,7 @@ pre_process:
         OMPI_CXX : 
         OMPI_FC  : 
 
-simulation:
+syscheck:
 
     CMake Configuration:
     
@@ -82,9 +82,9 @@ simulation:
         Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
     
         PRE_PROCESS   : OFF
-        SIMULATION    : ON
+        SIMULATION    : OFF
         POST_PROCESS  : OFF
-        SYSCHECK      : OFF
+        SYSCHECK      : ON
         DOCUMENTATION : OFF
         ALL           : OFF
     
@@ -105,7 +105,7 @@ simulation:
         OMPI_CXX : 
         OMPI_FC  : 
 
-post_process:
+pre_process:
 
     CMake Configuration:
     
@@ -114,9 +114,9 @@ post_process:
         C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
         Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
     
-        PRE_PROCESS   : OFF
+        PRE_PROCESS   : ON
         SIMULATION    : OFF
-        POST_PROCESS  : ON
+        POST_PROCESS  : OFF
         SYSCHECK      : OFF
         DOCUMENTATION : OFF
         ALL           : OFF
diff --git a/tests/CE7B0BC7/golden.txt b/tests/CE7B0BC7/golden.txt
index c221d5f205..dc04f35752 100644
--- a/tests/CE7B0BC7/golden.txt
+++ b/tests/CE7B0BC7/golden.txt
@@ -1,4 +1,4 @@
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diff --git a/tests/DFF6E349/golden-metadata.txt b/tests/DFF6E349/golden-metadata.txt
new file mode 100644
index 0000000000..1dd7e815c4
--- /dev/null
+++ b/tests/DFF6E349/golden-metadata.txt
@@ -0,0 +1,150 @@
+This file was created on 2025-04-29 13:31:31.032977.
+
+mfc.sh:
+
+    Invocation: test -j 4 -o Lagrange Bubbles --generate
+    Lock:       mpi=Yes & gpu=No & debug=No & gcov=No & unified=No & single=No
+    Git:        c6b2fe08e6d08650f06233b2b38ed4e0d8da82e4 on master (dirty)
+
+simulation:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : OFF
+        SIMULATION    : ON
+        POST_PROCESS  : OFF
+        SYSCHECK      : OFF
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+post_process:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : OFF
+        SIMULATION    : OFF
+        POST_PROCESS  : ON
+        SYSCHECK      : OFF
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+syscheck:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : OFF
+        SIMULATION    : OFF
+        POST_PROCESS  : OFF
+        SYSCHECK      : ON
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+pre_process:
+
+    CMake Configuration:
+    
+        CMake v4.0.1 on autoreg-6682246.dyn.wpi.edu
+    
+        C       : AppleClang v17.0.0.17000013 (/usr/bin/cc)
+        Fortran : GNU v14.2.0 (/opt/homebrew/bin/gfortran)
+    
+        PRE_PROCESS   : ON
+        SIMULATION    : OFF
+        POST_PROCESS  : OFF
+        SYSCHECK      : OFF
+        DOCUMENTATION : OFF
+        ALL           : OFF
+    
+        MPI     : ON
+        OpenACC : OFF
+    
+        Fypp    : /Users/diegovaca/Documents/implementations_MFC/MFC/build/venv/bin/fypp
+        Doxygen : 
+    
+        Build Type : Release
+    
+    Configuration Environment:
+    
+        CC       : /usr/bin/cc
+        CXX      : /usr/bin/c++
+        FC       : /opt/homebrew/bin/gfortran
+        OMPI_CC  : 
+        OMPI_CXX : 
+        OMPI_FC  : 
+
+CPU:
+
+    CPU Info:
+    From sysctl -a 
+    machdep.cpu.cores_per_package: 8
+    machdep.cpu.core_count: 8
+    machdep.cpu.logical_per_package: 8
+    machdep.cpu.thread_count: 8
+    machdep.cpu.brand_string: Apple M3
+
diff --git a/tests/DFF6E349/golden.txt b/tests/DFF6E349/golden.txt
new file mode 100644
index 0000000000..e6c4e398fa
--- /dev/null
+++ b/tests/DFF6E349/golden.txt
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0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0
+D/voidfraction.dat 2.1429198e-06 2.1429198e-06 2.1429198e-06 2.1429198e-06 2.1429197e-06 2.1429197e-06 2.1429196e-06 2.1429195e-06 2.1429192e-06 2.1429189e-06 2.1429184e-06 2.1429177e-06 2.1429167e-06 2.1429155e-06 2.142914e-06 2.1429121e-06 2.1429098e-06 2.1429069e-06 2.1429035e-06 2.1428995e-06 2.1428947e-06 2.1428892e-06 2.1428827e-06 2.1428754e-06 2.1428669e-06 2.1428574e-06 2.1428466e-06 2.1428344e-06 2.1428208e-06 2.1428057e-06 2.1427888e-06 2.1427702e-06 2.1427497e-06 2.1427272e-06 2.1427025e-06 2.1426756e-06 2.1426462e-06 2.1426143e-06 2.1425798e-06 2.1425424e-06 2.1425021e-06 2.1424587e-06 2.142412e-06 2.142362e-06 2.1423085e-06 2.1422513e-06 2.1421903e-06 2.1421254e-06 2.1420563e-06 2.141983e-06 2.1419054e-06
\ No newline at end of file
diff --git a/toolchain/mfc/run/case_dicts.py b/toolchain/mfc/run/case_dicts.py
index 0294ffc5e5..e1e5acf431 100644
--- a/toolchain/mfc/run/case_dicts.py
+++ b/toolchain/mfc/run/case_dicts.py
@@ -57,7 +57,6 @@ def analytic(self):
     'cfl_const_dt': ParamType.LOG,
     'chemistry': ParamType.LOG,
     'cantera_file': ParamType.STR,
-    'rkck_adap_dt': ParamType.LOG, 
     'Bx0': ParamType.REAL,
     'relativity': ParamType.LOG,
     'cont_damage': ParamType.LOG,
@@ -255,7 +254,6 @@ def analytic(self):
     'surface_tension': ParamType.LOG,
     'viscous': ParamType.LOG,
     'bubbles_lagrange': ParamType.LOG,
-    'rkck_tolerance': ParamType.REAL,
     'powell': ParamType.LOG,
     'tau_star': ParamType.REAL,
     'cont_damage_s': ParamType.REAL,
diff --git a/toolchain/mfc/test/cases.py b/toolchain/mfc/test/cases.py
index a1ffa42a72..5d639b7589 100644
--- a/toolchain/mfc/test/cases.py
+++ b/toolchain/mfc/test/cases.py
@@ -801,7 +801,7 @@ def alter_viscosity(dimInfo):
 
     def alter_lag_bubbles():
         # Lagrangian bubbles
-        for adap_dt in ['F']:
+        for adap_dt in ['F', 'T']:
             for couplingMethod in [1, 2]:
                 stack.push("Lagrange Bubbles", {"bubbles_lagrange": 'T',
                     'dt': 1e-06, 'lag_params%pressure_corrector': 'T', 'bubble_model': 2,
@@ -902,7 +902,7 @@ def foreach_example():
                 continue
 
             # # List of currently broken examples -> currently attempting to fix!
-            brokenCases = ["2D_ibm_cfl_dt", "1D_sodHypo", "2D_viscous", "2D_laplace_pressure_jump", "2D_bubbly_steady_shock", "2D_advection", "2D_hardcodied_ic", "2D_ibm_multiphase", "2D_acoustic_broadband", "1D_inert_shocktube", "1D_reactive_shocktube", "2D_ibm_steady_shock", "3D_performance_test", "3D_ibm_stl_ellipsoid", "3D_sphbubcollapse", "2D_ibm_stl_wedge", "3D_ibm_stl_pyramid", "3D_ibm_bowshock", "3D_turb_mixing", "2D_mixing_artificial_Ma", "3D_lagrange_bubblescreen", "3D_lagrange_shbubcollapse","2D_triple_point"]
+            brokenCases = ["2D_ibm_cfl_dt", "1D_sodHypo", "2D_viscous", "2D_laplace_pressure_jump", "2D_bubbly_steady_shock", "2D_advection", "2D_hardcodied_ic", "2D_ibm_multiphase", "2D_acoustic_broadband", "1D_inert_shocktube", "1D_reactive_shocktube", "2D_ibm_steady_shock", "3D_performance_test", "3D_ibm_stl_ellipsoid", "3D_sphbubcollapse", "2D_ibm_stl_wedge", "3D_ibm_stl_pyramid", "3D_ibm_bowshock", "3D_turb_mixing", "2D_mixing_artificial_Ma", "3D_lagrange_bubblescreen", "2D_triple_point"]
             if path in brokenCases:
                 continue
             name = f"{path.split('_')[0]} -> Example -> {'_'.join(path.split('_')[1:])}"

From 94b6623bdf85d20b2cfdf552687ebd98a89013c5 Mon Sep 17 00:00:00 2001
From: Diego Vaca <diegovaca@Mac.lan>
Date: Wed, 30 Apr 2025 17:08:09 -0400
Subject: [PATCH 05/10] Add adap_dt to bubbles_lagrange (with format)

---
 src/simulation/m_bubbles.fpp    | 35 +++++++++++++++++++++------------
 src/simulation/m_bubbles_EL.fpp | 11 ++++++-----
 2 files changed, 28 insertions(+), 18 deletions(-)

diff --git a/src/simulation/m_bubbles.fpp b/src/simulation/m_bubbles.fpp
index 1cb6447744..b726206da1 100644
--- a/src/simulation/m_bubbles.fpp
+++ b/src/simulation/m_bubbles.fpp
@@ -37,6 +37,7 @@ contains
         !!  @param fBtait Tait EOS parameter
         !!  @param f_bub_adv_src Source for bubble volume fraction
         !!  @param f_divu Divergence of velocity
+        !!  @param fCson Speed of sound from fP (EL)
     function f_rddot(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, fntait, fBtait, f_bub_adv_src, f_divu, fCson)
         !$acc routine seq
         real(wp), intent(in) :: fRho, fP, fR, fV, fR0, fpb, fpbdot, alf
@@ -340,6 +341,8 @@ contains
         !!  @param iR0 Bubble size index (EE) or bubble identifier (EL)
         !!  @param fmass_n Current gas mass (EL)
         !!  @param fbeta_c Mass transfer coefficient (EL)
+        !!  @param fR_m Mixture gas constant (EL)
+        !!  @param fgamma_m Mixture gamma (EL)
     function f_vflux(fR, fV, fpb, fmass_v, iR0, fmass_n, fbeta_c, fR_m, fgamma_m)
         !$acc routine seq
         real(wp), intent(in) :: fR
@@ -398,7 +401,6 @@ contains
         !!  @param fbeta_t Mass transfer coefficient (EL)
         !!  @param fR_m Mixture gas constant (EL)
         !!  @param fgamma_m Mixture gamma (EL)
-        !!  @param fconc_v Current vapor concentration (EL)
     function f_bpres_dot(fvflux, fR, fV, fpb, fmass_v, iR0, fbeta_t, fR_m, fgamma_m)
         !$acc routine seq
         real(wp), intent(in) :: fvflux
@@ -456,9 +458,9 @@ contains
         !!  @param fbeta_t Heat transfer coefficient (EL)
         !!  @param fCson Speed of sound (EL)
     subroutine s_advance_step(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
-                                fntait, fBtait, f_bub_adv_src, f_divu, &
-                                bub_id, fmass_v, fmass_n, fbeta_c, &
-                                fbeta_t, fCson)
+                              fntait, fBtait, f_bub_adv_src, f_divu, &
+                              bub_id, fmass_v, fmass_n, fbeta_c, &
+                              fbeta_t, fCson)
 #ifdef _CRAYFTN
         !DIR$ INLINEALWAYS s_advance_step
 #else
@@ -477,7 +479,7 @@ contains
         real(wp), dimension(4) :: myR_tmp1, myV_tmp1, myR_tmp2, myV_tmp2 !< Bubble radius, radial velocity, and radial acceleration for the inner loop
         real(wp), dimension(4) :: myPb_tmp1, myMv_tmp1, myPb_tmp2, myMv_tmp2 !< Gas pressure and vapor mass for the inner loop (EL)
 
-        tol = 1e-4_wp
+        tol = 1e-4_wp   ! Tolerance value
 
         h = f_initial_substep_h(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
                                 fntait, fBtait, f_bub_adv_src, f_divu, fCson)
@@ -577,10 +579,10 @@ contains
         !!  @param fBtait Tait EOS parameter
         !!  @param f_bub_adv_src Source for bubble volume fraction
         !!  @param f_divu Divergence of velocity
-        !!  @param h Time step size
+        !!  @param fCson Speed of sound (EL)
     function f_initial_substep_h(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
-                                    fntait, fBtait, f_bub_adv_src, f_divu, &
-                                    fCson)
+                                 fntait, fBtait, f_bub_adv_src, f_divu, &
+                                 fCson)
         !$acc routine seq
         real(wp), intent(IN) :: fRho, fP, fR, fV, fR0, fpb, fpbdot, alf
         real(wp), intent(IN) :: fntait, fBtait, f_bub_adv_src, f_divu
@@ -645,15 +647,22 @@ contains
         !!  @param fBtait Tait EOS parameter
         !!  @param f_bub_adv_src Source for bubble volume fraction
         !!  @param f_divu Divergence of velocity
+        !!  @param bub_id Bubble identifier (EL)
+        !!  @param fmass_v Current mass of vapour (EL)
+        !!  @param fmass_n Current mass of gas (EL)
+        !!  @param fbeta_c Mass transfer coefficient (EL)
+        !!  @param fbeta_t Heat transfer coefficient (EL)
+        !!  @param fCson Speed of sound (EL)
         !!  @param h Time step size
         !!  @param myR_tmp Bubble radius at each stage
         !!  @param myV_tmp Bubble radial velocity at each stage
-        !!  @param err Estimated error
+        !!  @param myPb_tmp Internal bubble pressure at each stage (EL)
+        !!  @param myMv_tmp Mass of vapor in the bubble at each stage (EL)
     function f_advance_substep(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
-                                 fntait, fBtait, f_bub_adv_src, f_divu, &
-                                 bub_id, fmass_v, fmass_n, fbeta_c, &
-                                 fbeta_t, fCson, h, &
-                                 myR_tmp, myV_tmp, myPb_tmp, myMv_tmp)
+                               fntait, fBtait, f_bub_adv_src, f_divu, &
+                               bub_id, fmass_v, fmass_n, fbeta_c, &
+                               fbeta_t, fCson, h, &
+                               myR_tmp, myV_tmp, myPb_tmp, myMv_tmp)
         !$acc routine seq
         real(wp), intent(IN) :: fRho, fP, fR, fV, fR0, fpb, fpbdot, alf
         real(wp), intent(IN) :: fntait, fBtait, f_bub_adv_src, f_divu, h
diff --git a/src/simulation/m_bubbles_EL.fpp b/src/simulation/m_bubbles_EL.fpp
index 3e20110e92..aeae3ffaf2 100644
--- a/src/simulation/m_bubbles_EL.fpp
+++ b/src/simulation/m_bubbles_EL.fpp
@@ -59,7 +59,7 @@ module m_bubbles_EL
     !$acc gas_dpdt, gas_dmvdt, mtn_dposdt, mtn_dveldt)
 
     integer, private :: lag_num_ts                                  !<  Number of time stages in the time-stepping scheme
-    
+
     !$acc declare create(lag_num_ts)
 
     integer :: nBubs                            !< Number of bubbles in the local domain
@@ -486,6 +486,7 @@ contains
         !! @param q_cons_vf Conservative variables
         !! @param q_prim_vf Primitive variables
         !! @param rhs_vf Calculated change of conservative variables
+        !! @param t_step Current time step
         !! @param stage Current stage in the time-stepper algorithm
     subroutine s_compute_bubble_EL_dynamics(q_cons_vf, q_prim_vf, t_step, rhs_vf, stage)
 
@@ -580,11 +581,11 @@ contains
 
             else
 
-                ! Radial acceleration from bubble models                   
+                ! Radial acceleration from bubble models
                 intfc_dveldt(k, stage) = f_rddot(myRho, myPinf, myR, myV, myR0, &
-                                                myPb, myPbdot, dmalf, dmntait, dmBtait, &
-                                                dm_bub_adv_src, dm_divu, &
-                                                myCson)
+                                                 myPb, myPbdot, dmalf, dmntait, dmBtait, &
+                                                 dm_bub_adv_src, dm_divu, &
+                                                 myCson)
                 intfc_draddt(k, stage) = myV
                 gas_dmvdt(k, stage) = myMvdot
                 gas_dpdt(k, stage) = myPbdot

From 80910d5283f0a2b0004e076420c4aab21edbc6a0 Mon Sep 17 00:00:00 2001
From: Diego Vaca <diegovaca@Mac.lan>
Date: Wed, 30 Apr 2025 20:00:20 -0400
Subject: [PATCH 06/10] Lagrange bubbles: 2D example

---
 examples/2D_lagrange_bubblescreen/case.py     | 170 ++++++++++++++++++
 .../2D_lagrange_bubblescreen/input/README.txt |   5 +
 toolchain/mfc/test/cases.py                   |   2 +-
 3 files changed, 176 insertions(+), 1 deletion(-)
 create mode 100644 examples/2D_lagrange_bubblescreen/case.py
 create mode 100644 examples/2D_lagrange_bubblescreen/input/README.txt

diff --git a/examples/2D_lagrange_bubblescreen/case.py b/examples/2D_lagrange_bubblescreen/case.py
new file mode 100644
index 0000000000..fb1dd1cf81
--- /dev/null
+++ b/examples/2D_lagrange_bubblescreen/case.py
@@ -0,0 +1,170 @@
+#!/usr/bin/env python3
+import math
+import json
+
+# Bubble screen
+# Description: A planar acoustic wave interacts with a bubble cloud
+# in water. The background field is modeled in using an Eulerian framework,
+# while the bubbles are tracked using a Lagrangian framework.
+
+# Reference values for nondimensionalization
+x0 = 1.0e-03  # length - m
+rho0 = 1.0e03  # density - kg/m3
+c0 = 1475.0  # speed of sound - m/s
+p0 = rho0 * c0 * c0  # pressure - Pa
+T0 = 298  # temperature - K
+
+# Host properties (water)
+gamma_host = 2.7466  # Specific heat ratio
+pi_inf_host = 792.02e06  # Stiffness - Pa
+mu_host = 1e-3  # Dynamic viscosity - Pa.s
+c_host = 1475.0  # speed of sound - m/s
+rho_host = 1000  # density kg/m3
+T_host = 298  # temperature K
+
+# Lagrangian bubbles' properties
+R_uni = 8314  # Universal gas constant - J/kmol/K
+MW_g = 28.0  # Molar weight of the gas - kg/kmol
+MW_v = 18.0  # Molar weight of the vapor - kg/kmol
+gamma_g = 1.4  # Specific heat ratio of the gas
+gamma_v = 1.333  # Specific heat ratio of the vapor
+pv = 2350  # Vapor pressure of the host - Pa
+cp_g = 1.0e3  # Specific heat of the gas - J/kg/K
+cp_v = 2.1e3  # Specific heat of the vapor - J/kg/K
+k_g = 0.025  # Thermal conductivity of the gas - W/m/K
+k_v = 0.02  # Thermal conductivity of the vapor - W/m/K
+diffVapor = 2.5e-5  # Diffusivity coefficient of the vapor - m2/s
+sigBubble = 0.069  # Surface tension of the bubble - N/m
+mu_g = 1.48e-5
+
+# Acoustic source properties
+patm = 101325.0  # Atmospheric pressure - Pa
+pamp = 1.0e5  # Amplitude of the acoustic source - Pa
+freq = 300e03  # Source frequency - Hz
+wlen = c_host / freq  # Wavelength - m
+
+# Domain and time set up
+
+xb = -12.0e-3  # Domain boundaries - m (x direction)
+xe = 12.0e-3
+yb = -2.5e-3  # Domain boundaries - m (y direction)
+ye = 2.5e-3
+z_virtual = 5.0e-3  # Virtual depth (z direction)
+
+Nx = 240  # number of elements into x direction
+Ny = 50  # number of elements into y direction
+
+dt = 7.5e-9  # constant time-step - sec
+
+# Configuring case dictionary
+print(
+    json.dumps(
+        {
+            # Logistics
+            "run_time_info": "T",
+            # Computational Domain Parameters
+            "x_domain%beg": xb / x0,
+            "x_domain%end": xe / x0,
+            "y_domain%beg": yb / x0,
+            "y_domain%end": ye / x0,
+            "stretch_y": "F",
+            "stretch_x": "F",
+            "m": Nx,
+            "n": Ny,
+            "p": 0,
+            "dt": dt * (c0 / x0),
+            "t_step_start": 0,
+            "t_step_stop": 3000,
+            "t_step_save": 500,
+            # Simulation Algorithm Parameters
+            "model_eqns": 2,
+            "time_stepper": 3,
+            "num_fluids": 2,
+            "num_patches": 1,
+            "viscous": "T",
+            "mpp_lim": "F",
+            "weno_order": 5,
+            "weno_eps": 1.0e-16,
+            "mapped_weno": "T",
+            "riemann_solver": 2,
+            "wave_speeds": 1,
+            "avg_state": 2,
+            "bc_x%beg": -6,
+            "bc_x%end": -6,
+            "bc_y%beg": -1,
+            "bc_y%end": -1,
+            # Acoustic source
+            "acoustic_source": "T",
+            "num_source": 1,
+            "acoustic(1)%support": 2,
+            "acoustic(1)%pulse": 1,
+            "acoustic(1)%npulse": 1,
+            "acoustic(1)%mag": pamp / p0,
+            "acoustic(1)%wavelength": wlen / x0,
+            "acoustic(1)%length": 2 * (ye - yb) / x0,
+            "acoustic(1)%loc(1)": -7.0e-03 / x0,
+            "acoustic(1)%loc(2)": 0.0,
+            "acoustic(1)%dir": 0.0,
+            "acoustic(1)%delay": 0.0,
+            # Formatted Database Files Structure Parameters
+            "format": 1,
+            "precision": 2,
+            "prim_vars_wrt": "T",
+            "parallel_io": "T",
+            # Patch 1: Water (left)
+            "patch_icpp(1)%geometry": 3,
+            "patch_icpp(1)%x_centroid": 0.0,
+            "patch_icpp(1)%y_centroid": 0.0,
+            "patch_icpp(1)%length_x": 2 * (xe - xb) / x0,
+            "patch_icpp(1)%length_y": 2 * (ye - yb) / x0,
+            "patch_icpp(1)%vel(1)": 0.0,
+            "patch_icpp(1)%vel(2)": 0.0,
+            "patch_icpp(1)%pres": patm / p0,
+            "patch_icpp(1)%alpha_rho(1)": rho_host / rho0,
+            "patch_icpp(1)%alpha_rho(2)": 0.0,
+            "patch_icpp(1)%alpha(1)": 1.0,
+            "patch_icpp(1)%alpha(2)": 0.0,
+            # Lagrangian Bubbles
+            "bubbles_lagrange": "T",
+            "bubble_model": 2,  # Keller-Miksis model
+            "lag_params%nBubs_glb": 1194,  # Number of bubbles
+            "lag_params%solver_approach": 2,
+            "lag_params%cluster_type": 2,
+            "lag_params%pressure_corrector": "T",
+            "lag_params%smooth_type": 1,
+            "lag_params%heatTransfer_model": "T",
+            "lag_params%massTransfer_model": "T",
+            "lag_params%epsilonb": 1.0,
+            "lag_params%valmaxvoid": 0.9,
+            "lag_params%write_bubbles": "F",
+            "lag_params%write_bubbles_stats": "F",
+            "lag_params%c0": c0,
+            "lag_params%rho0": rho0,
+            "lag_params%T0": T0,
+            "lag_params%x0": x0,
+            "lag_params%diffcoefvap": diffVapor,
+            "lag_params%Thost": T_host,
+            "lag_params%charwidth": z_virtual / x0,
+            # Fluids Physical Parameters
+            # Host medium
+            "fluid_pp(1)%gamma": 1.0 / (gamma_host - 1.0),
+            "fluid_pp(1)%pi_inf": gamma_host * (pi_inf_host / p0) / (gamma_host - 1.0),
+            "fluid_pp(1)%Re(1)": 1.0 / (mu_host / (rho0 * c0 * x0)),
+            "fluid_pp(1)%mul0": mu_host,
+            "fluid_pp(1)%ss": sigBubble,
+            "fluid_pp(1)%pv": pv,
+            "fluid_pp(1)%gamma_v": gamma_v,
+            "fluid_pp(1)%M_v": MW_v,
+            "fluid_pp(1)%k_v": k_v,
+            "fluid_pp(1)%cp_v": cp_v,
+            # Bubble gas state
+            "fluid_pp(2)%gamma": 1.0 / (gamma_g - 1.0),
+            "fluid_pp(2)%pi_inf": 0.0e00,
+            "fluid_pp(2)%Re(1)": 1.0 / (mu_g / (rho0 * c0 * x0)),
+            "fluid_pp(2)%gamma_v": gamma_g,
+            "fluid_pp(2)%M_v": MW_g,
+            "fluid_pp(2)%k_v": k_g,
+            "fluid_pp(2)%cp_v": cp_g,
+        }
+    )
+)
diff --git a/examples/2D_lagrange_bubblescreen/input/README.txt b/examples/2D_lagrange_bubblescreen/input/README.txt
new file mode 100644
index 0000000000..2682c5eef4
--- /dev/null
+++ b/examples/2D_lagrange_bubblescreen/input/README.txt
@@ -0,0 +1,5 @@
+
+The user input file 'input/lag_bubbles.dat' contains the initial conditions of the lagrangian bubbles.
+Each row represents the initial state of one specific bubble, which are:
+
+xPosition/x0    yPosition/x0    zPosition/x0    xVel/c0     yVel/c0     zVel/c0     radius/x0       interfaceVelocity/c0
diff --git a/toolchain/mfc/test/cases.py b/toolchain/mfc/test/cases.py
index 5d639b7589..041d083a49 100644
--- a/toolchain/mfc/test/cases.py
+++ b/toolchain/mfc/test/cases.py
@@ -902,7 +902,7 @@ def foreach_example():
                 continue
 
             # # List of currently broken examples -> currently attempting to fix!
-            brokenCases = ["2D_ibm_cfl_dt", "1D_sodHypo", "2D_viscous", "2D_laplace_pressure_jump", "2D_bubbly_steady_shock", "2D_advection", "2D_hardcodied_ic", "2D_ibm_multiphase", "2D_acoustic_broadband", "1D_inert_shocktube", "1D_reactive_shocktube", "2D_ibm_steady_shock", "3D_performance_test", "3D_ibm_stl_ellipsoid", "3D_sphbubcollapse", "2D_ibm_stl_wedge", "3D_ibm_stl_pyramid", "3D_ibm_bowshock", "3D_turb_mixing", "2D_mixing_artificial_Ma", "3D_lagrange_bubblescreen", "2D_triple_point"]
+            brokenCases = ["2D_ibm_cfl_dt", "1D_sodHypo", "2D_viscous", "2D_laplace_pressure_jump", "2D_bubbly_steady_shock", "2D_advection", "2D_hardcodied_ic", "2D_ibm_multiphase", "2D_acoustic_broadband", "1D_inert_shocktube", "1D_reactive_shocktube", "2D_ibm_steady_shock", "3D_performance_test", "3D_ibm_stl_ellipsoid", "3D_sphbubcollapse", "2D_ibm_stl_wedge", "3D_ibm_stl_pyramid", "3D_ibm_bowshock", "3D_turb_mixing", "2D_mixing_artificial_Ma", "2D_lagrange_bubblescreen", "3D_lagrange_bubblescreen", "2D_triple_point"]
             if path in brokenCases:
                 continue
             name = f"{path.split('_')[0]} -> Example -> {'_'.join(path.split('_')[1:])}"

From 8d69e3b2fc94911d48d63096cacf44d4baf81ed8 Mon Sep 17 00:00:00 2001
From: Diego Vaca <diegovaca@Diegos-MacBook-Pro-128.local>
Date: Mon, 5 May 2025 22:10:56 -0500
Subject: [PATCH 07/10] addressing comments

---
 src/common/m_constants.fpp             |   4 +
 src/simulation/m_bubbles.fpp           | 189 ++++++++++++++-----------
 src/simulation/m_bubbles_EE.fpp        |  13 +-
 src/simulation/m_bubbles_EL.fpp        |  13 +-
 src/simulation/m_global_parameters.fpp |   4 +-
 src/simulation/m_mpi_proxy.fpp         |   2 +-
 src/simulation/m_start_up.fpp          |   5 +-
 toolchain/mfc/run/case_dicts.py        |   1 +
 8 files changed, 136 insertions(+), 95 deletions(-)

diff --git a/src/common/m_constants.fpp b/src/common/m_constants.fpp
index 48b0dba48b..3a8c695223 100644
--- a/src/common/m_constants.fpp
+++ b/src/common/m_constants.fpp
@@ -49,6 +49,10 @@ module m_constants
     integer, parameter :: mapCells = 3 !< Number of cells around the bubble where the smoothening function will have effect
     real(wp), parameter :: R_uni = 8314._wp ! Universal gas constant - J/kmol/K
 
+    ! Strang Splitting constants
+    real(wp), parameter :: dflt_adap_dt_tol = 1e-4_wp !< Default tolerance for adaptive step size
+    integer, parameter :: adap_dt_max_iters = 100 !< Maximum number of iterations
+
     ! Relativity
     integer, parameter :: relativity_cons_to_prim_max_iter = 100
 
diff --git a/src/simulation/m_bubbles.fpp b/src/simulation/m_bubbles.fpp
index b726206da1..2ee3b8fb9c 100644
--- a/src/simulation/m_bubbles.fpp
+++ b/src/simulation/m_bubbles.fpp
@@ -460,7 +460,7 @@ contains
     subroutine s_advance_step(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
                               fntait, fBtait, f_bub_adv_src, f_divu, &
                               bub_id, fmass_v, fmass_n, fbeta_c, &
-                              fbeta_t, fCson)
+                              fbeta_t, fCson, adap_dt_stop)
 #ifdef _CRAYFTN
         !DIR$ INLINEALWAYS s_advance_step
 #else
@@ -471,64 +471,69 @@ contains
         real(wp), intent(in) :: fntait, fBtait, f_bub_adv_src, f_divu
         integer, intent(in) :: bub_id
         real(wp), intent(in) :: fmass_n, fbeta_c, fbeta_t, fCson
+        integer, intent(out) :: adap_dt_stop
 
-        real(wp) :: tol
-        real(wp) :: err1, err2, err3, err4, err5 !< Error estimates for adaptive time stepping
+        real(wp), dimension(5) :: err !< Error estimates for adaptive time stepping
         real(wp) :: t_new !< Updated time step size
         real(wp) :: h !< Time step size
         real(wp), dimension(4) :: myR_tmp1, myV_tmp1, myR_tmp2, myV_tmp2 !< Bubble radius, radial velocity, and radial acceleration for the inner loop
         real(wp), dimension(4) :: myPb_tmp1, myMv_tmp1, myPb_tmp2, myMv_tmp2 !< Gas pressure and vapor mass for the inner loop (EL)
-
-        tol = 1e-4_wp   ! Tolerance value
+        integer :: iter_count
 
         h = f_initial_substep_h(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
                                 fntait, fBtait, f_bub_adv_src, f_divu, fCson)
 
         ! Advancing one step
         t_new = 0._wp
-        do while (.true.)
+        iter_count = 0
+        adap_dt_stop = 0
+
+        do
+
             if (t_new + h > 0.5_wp*dt) then
                 h = 0.5_wp*dt - t_new
             end if
 
             ! Advancing one sub-step
-            do while (.true.)
+            do while (iter_count < adap_dt_max_iters)
+
+                iter_count = iter_count + 1
 
                 ! Advance one sub-step
-                err1 = f_advance_substep( &
-                       fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
-                       fntait, fBtait, f_bub_adv_src, f_divu, &
-                       bub_id, fmass_v, fmass_n, fbeta_c, &
-                       fbeta_t, fCson, h, &
-                       myR_tmp1, myV_tmp1, myPb_tmp1, myMv_tmp1)
+                err(1) = f_advance_substep( &
+                         fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                         fntait, fBtait, f_bub_adv_src, f_divu, &
+                         bub_id, fmass_v, fmass_n, fbeta_c, &
+                         fbeta_t, fCson, h, &
+                         myR_tmp1, myV_tmp1, myPb_tmp1, myMv_tmp1)
 
                 ! Advance one sub-step by advancing two half steps
-                err2 = f_advance_substep( &
-                       fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
-                       fntait, fBtait, f_bub_adv_src, f_divu, &
-                       bub_id, fmass_v, fmass_n, fbeta_c, &
-                       fbeta_t, fCson, 0.5_wp*h, &
-                       myR_tmp2, myV_tmp2, myPb_tmp2, myMv_tmp2)
-
-                err3 = f_advance_substep( &
-                       fRho, fP, myR_tmp2(4), myV_tmp2(4), fR0, myPb_tmp2(4), fpbdot, alf, &
-                       fntait, fBtait, f_bub_adv_src, f_divu, &
-                       bub_id, myMv_tmp2(4), fmass_n, fbeta_c, &
-                       fbeta_t, fCson, 0.5_wp*h, &
-                       myR_tmp2, myV_tmp2, myPb_tmp2, myMv_tmp2)
-
-                err4 = abs((myR_tmp1(4) - myR_tmp2(4))/myR_tmp1(4))
-                err5 = abs((myV_tmp1(4) - myV_tmp2(4))/myV_tmp1(4))
-                if (abs(myV_tmp1(4)) < 1e-12_wp) err5 = 0._wp
+                err(2) = f_advance_substep( &
+                         fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                         fntait, fBtait, f_bub_adv_src, f_divu, &
+                         bub_id, fmass_v, fmass_n, fbeta_c, &
+                         fbeta_t, fCson, 0.5_wp*h, &
+                         myR_tmp2, myV_tmp2, myPb_tmp2, myMv_tmp2)
+
+                err(3) = f_advance_substep( &
+                         fRho, fP, myR_tmp2(4), myV_tmp2(4), fR0, myPb_tmp2(4), fpbdot, alf, &
+                         fntait, fBtait, f_bub_adv_src, f_divu, &
+                         bub_id, myMv_tmp2(4), fmass_n, fbeta_c, &
+                         fbeta_t, fCson, 0.5_wp*h, &
+                         myR_tmp2, myV_tmp2, myPb_tmp2, myMv_tmp2)
+
+                err(4) = abs((myR_tmp1(4) - myR_tmp2(4))/myR_tmp1(4))
+                err(5) = abs((myV_tmp1(4) - myV_tmp2(4))/myV_tmp1(4))
+                if (abs(myV_tmp1(4)) < verysmall) err(5) = 0._wp
 
                 ! Determine acceptance/rejection and update step size
                 !   Rule 1: err1, err2, err3 < tol
                 !   Rule 2: myR_tmp1(4) > 0._wp
                 !   Rule 3: abs((myR_tmp1(4) - myR_tmp2(4))/fR) < tol
                 !   Rule 4: abs((myV_tmp1(4) - myV_tmp2(4))/fV) < tol
-                if ((err1 <= tol) .and. (err2 <= tol) .and. (err3 <= tol) &
-                    .and. (err4 < tol) .and. (err5 < tol) &
-                    .and. myR_tmp1(4) > 0._wp) then
+                if ((err(1) <= adap_dt_tol) .and. (err(2) <= adap_dt_tol) .and. &
+                    (err(3) <= adap_dt_tol) .and. (err(4) < adap_dt_tol) .and. &
+                    (err(5) < adap_dt_tol) .and. myR_tmp1(4) > 0._wp) then
 
                     ! Accepted. Finalize the sub-step
                     t_new = t_new + h
@@ -544,12 +549,12 @@ contains
                     end if
 
                     ! Update step size for the next sub-step
-                    h = h*min(2._wp, max(0.5_wp, (1e-4_wp/err1)**(1._wp/3._wp)))
+                    h = h*min(2._wp, max(0.5_wp, (adap_dt_tol/err(1))**(1._wp/3._wp)))
 
                     exit
                 else
                     ! Rejected. Update step size for the next try on sub-step
-                    if (err2 <= 1e-4_wp) then
+                    if (err(2) <= adap_dt_tol) then
                         h = 0.5_wp*h
                     else
                         h = 0.25_wp*h
@@ -558,10 +563,12 @@ contains
             end do
 
             ! Exit the loop if the final time reached dt
-            if (t_new == 0.5_wp*dt) exit
+            if (t_new == 0.5_wp*dt .or. iter_count >= adap_dt_max_iters) exit
 
         end do
 
+        if (iter_count >= adap_dt_max_iters) adap_dt_stop = 1
+
     end subroutine s_advance_step
 
     !> Choose the initial time step size for the adaptive time stepping routine
@@ -589,8 +596,8 @@ contains
         real(wp), intent(IN) :: fCson
 
         real(wp) :: f_initial_substep_h
-        real(wp) :: h0, h1 !< Time step size
-        real(wp) :: d_0, d_1, d_2 !< norms
+        real(wp), dimension(2) :: h_size !< Time step size (h0, h1)
+        real(wp), dimension(3) :: d_norms !< norms (d_0, d_1, d_2)
         real(wp), dimension(2) :: myR_tmp, myV_tmp, myA_tmp !< Bubble radius, radial velocity, and radial acceleration
 
         ! Determine the starting time step
@@ -603,38 +610,39 @@ contains
                              fCson)
 
         ! Compute d_0 = ||y0|| and d_1 = ||f(x0,y0)||
-        d_0 = sqrt((myR_tmp(1)**2._wp + myV_tmp(1)**2._wp)/2._wp)
-        d_1 = sqrt((myV_tmp(1)**2._wp + myA_tmp(1)**2._wp)/2._wp)
-        if (d_0 < 1e-5_wp .or. d_1 < 1e-5_wp) then
-            h0 = 1e-6_wp
+        d_norms(1) = sqrt((myR_tmp(1)**2._wp + myV_tmp(1)**2._wp)/2._wp)
+        d_norms(2) = sqrt((myV_tmp(1)**2._wp + myA_tmp(1)**2._wp)/2._wp)
+        if (d_norms(1) < 1e-5_wp .or. d_norms(2) < 1e-5_wp) then
+            h_size(1) = 1e-6_wp
         else
-            h0 = 1e-2_wp*(d_0/d_1)
+            h_size(1) = 1e-2_wp*(d_norms(1)/d_norms(2))
         end if
 
         ! Evaluate f(x0+h0,y0+h0*f(x0,y0))
-        myR_tmp(2) = myR_tmp(1) + h0*myV_tmp(1)
-        myV_tmp(2) = myV_tmp(1) + h0*myA_tmp(1)
+        myR_tmp(2) = myR_tmp(1) + h_size(1)*myV_tmp(1)
+        myV_tmp(2) = myV_tmp(1) + h_size(1)*myA_tmp(1)
         myA_tmp(2) = f_rddot(fRho, fP, myR_tmp(2), myV_tmp(2), fR0, &
                              fpb, fpbdot, alf, fntait, fBtait, &
                              f_bub_adv_src, f_divu, &
                              fCson)
 
         ! Compute d_2 = ||f(x0+h0,y0+h0*f(x0,y0))-f(x0,y0)||/h0
-        d_2 = sqrt(((myV_tmp(2) - myV_tmp(1))**2._wp + (myA_tmp(2) - myA_tmp(1))**2._wp)/2._wp)/h0
+        d_norms(3) = sqrt(((myV_tmp(2) - myV_tmp(1))**2._wp + (myA_tmp(2) - myA_tmp(1))**2._wp)/2._wp)/h_size(1)
 
         ! Set h1 = (0.01/max(d_1,d_2))^{1/(p+1)}
-        !      if max(d_1,d_2) < 1e-15_wp, h1 = max(1e-6_wp, h0*1e-3_wp)
-        if (max(d_1, d_2) < 1e-15_wp) then
-            h1 = max(1e-6_wp, h0*1e-3_wp)
+        !      if max(d_1,d_2) < 1e-15_wp, h_size(2) = max(1e-6_wp, h0*1e-3_wp)
+        if (max(d_norms(2), d_norms(3)) < 1e-15_wp) then
+            h_size(2) = max(1e-6_wp, h_size(1)*1e-3_wp)
         else
-            h1 = (1e-2_wp/max(d_1, d_2))**(1._wp/3._wp)
+            h_size(2) = (1e-2_wp/max(d_norms(2), d_norms(3)))**(1._wp/3._wp)
         end if
 
-        f_initial_substep_h = min(100._wp*h0, h1)
+        f_initial_substep_h = min(100._wp*h_size(1), h_size(2))
 
     end function f_initial_substep_h
 
-    !>  Integrate bubble variables over the given time step size, h
+    !>  Integrate bubble variables over the given time step size, h, using a
+        !!      third-order accurate embedded Runge–Kutta scheme.
         !!  @param fRho Current density
         !!  @param fP Current driving pressure
         !!  @param fR Current bubble radius
@@ -674,10 +682,8 @@ contains
         real(wp) :: f_advance_substep
         real(wp) :: err_R, err_V
 
-        real(wp) :: myVapFlux, myR_m, mygamma_m, Pb_tmp, Pbdot_tmp
-
-        Pb_tmp = fpb
-        Pbdot_tmp = fpbdot
+        myPb_tmp(1:4) = fpb
+        mydPbdt_tmp(1:4) = fpbdot
 
         ! Stage 0
         myR_tmp(1) = fR
@@ -685,15 +691,11 @@ contains
         if (bubbles_lagrange) then
             myPb_tmp(1) = fpb
             myMv_tmp(1) = fmass_v
-
-            myVapFlux = f_vflux(myR_tmp(1), myV_tmp(1), myPb_tmp(1), myMv_tmp(1), bub_id, fmass_n, fbeta_c, myR_m, mygamma_m)
-            mydPbdt_tmp(1) = f_bpres_dot(myVapFlux, myR_tmp(1), myV_tmp(1), myPb_tmp(1), myMv_tmp(1), bub_id, fbeta_t, myR_m, mygamma_m)
-            mydMvdt_tmp(1) = 4._wp*pi*myR_tmp(1)**2._wp*myVapFlux
-            Pb_tmp = myPb_tmp(1)
-            Pbdot_tmp = mydPbdt_tmp(1)
+            mydMvdt_tmp(1) = f_advance_EL(myR_tmp(1), myV_tmp(1), myPb_tmp(1), myMv_tmp(1), bub_id, &
+                                          fmass_n, fbeta_c, fbeta_t, mydPbdt_tmp(1))
         end if
         myA_tmp(1) = f_rddot(fRho, fP, myR_tmp(1), myV_tmp(1), fR0, &
-                             Pb_tmp, Pbdot_tmp, alf, fntait, fBtait, &
+                             myPb_tmp(1), mydPbdt_tmp(1), alf, fntait, fBtait, &
                              f_bub_adv_src, f_divu, &
                              fCson)
 
@@ -703,15 +705,11 @@ contains
         if (bubbles_lagrange) then
             myPb_tmp(2) = myPb_tmp(1) + h*mydPbdt_tmp(1)
             myMv_tmp(2) = myMv_tmp(1) + h*mydMvdt_tmp(1)
-
-            myVapFlux = f_vflux(myR_tmp(2), myV_tmp(2), myPb_tmp(2), myMv_tmp(2), bub_id, fmass_n, fbeta_c, myR_m, mygamma_m)
-            mydPbdt_tmp(2) = f_bpres_dot(myVapFlux, myR_tmp(2), myV_tmp(2), myPb_tmp(2), myMv_tmp(2), bub_id, fbeta_t, myR_m, mygamma_m)
-            mydMvdt_tmp(2) = 4._wp*pi*myR_tmp(2)**2._wp*myVapFlux
-            Pb_tmp = myPb_tmp(2)
-            Pbdot_tmp = mydPbdt_tmp(2)
+            mydMvdt_tmp(2) = f_advance_EL(myR_tmp(2), myV_tmp(2), myPb_tmp(2), myMv_tmp(2), &
+                                          bub_id, fmass_n, fbeta_c, fbeta_t, mydPbdt_tmp(2))
         end if
         myA_tmp(2) = f_rddot(fRho, fP, myR_tmp(2), myV_tmp(2), fR0, &
-                             Pb_tmp, Pbdot_tmp, alf, fntait, fBtait, &
+                             myPb_tmp(2), mydPbdt_tmp(2), alf, fntait, fBtait, &
                              f_bub_adv_src, f_divu, &
                              fCson)
 
@@ -721,15 +719,11 @@ contains
         if (bubbles_lagrange) then
             myPb_tmp(3) = myPb_tmp(1) + (h/4._wp)*(mydPbdt_tmp(1) + mydPbdt_tmp(2))
             myMv_tmp(3) = myMv_tmp(1) + (h/4._wp)*(mydMvdt_tmp(1) + mydMvdt_tmp(2))
-
-            myVapFlux = f_vflux(myR_tmp(3), myV_tmp(3), myPb_tmp(3), myMv_tmp(3), bub_id, fmass_n, fbeta_c, myR_m, mygamma_m)
-            mydPbdt_tmp(3) = f_bpres_dot(myVapFlux, myR_tmp(3), myV_tmp(3), myPb_tmp(3), myMv_tmp(3), bub_id, fbeta_t, myR_m, mygamma_m)
-            mydMvdt_tmp(3) = 4._wp*pi*myR_tmp(3)**2._wp*myVapFlux
-            Pb_tmp = myPb_tmp(3)
-            Pbdot_tmp = mydPbdt_tmp(3)
+            mydMvdt_tmp(3) = f_advance_EL(myR_tmp(3), myV_tmp(3), myPb_tmp(3), myMv_tmp(3), &
+                                          bub_id, fmass_n, fbeta_c, fbeta_t, mydPbdt_tmp(3))
         end if
         myA_tmp(3) = f_rddot(fRho, fP, myR_tmp(3), myV_tmp(3), fR0, &
-                             Pb_tmp, Pbdot_tmp, alf, fntait, fBtait, &
+                             myPb_tmp(3), mydPbdt_tmp(3), alf, fntait, fBtait, &
                              f_bub_adv_src, f_divu, &
                              fCson)
 
@@ -739,15 +733,11 @@ contains
         if (bubbles_lagrange) then
             myPb_tmp(4) = myPb_tmp(1) + (h/6._wp)*(mydPbdt_tmp(1) + mydPbdt_tmp(2) + 4._wp*mydPbdt_tmp(3))
             myMv_tmp(4) = myMv_tmp(1) + (h/6._wp)*(mydMvdt_tmp(1) + mydMvdt_tmp(2) + 4._wp*mydMvdt_tmp(3))
-
-            myVapFlux = f_vflux(myR_tmp(4), myV_tmp(4), myPb_tmp(4), myMv_tmp(4), bub_id, fmass_n, fbeta_c, myR_m, mygamma_m)
-            mydPbdt_tmp(4) = f_bpres_dot(myVapFlux, myR_tmp(4), myV_tmp(4), myPb_tmp(4), myMv_tmp(4), bub_id, fbeta_t, myR_m, mygamma_m)
-            mydMvdt_tmp(4) = 4._wp*pi*myR_tmp(4)**2._wp*myVapFlux
-            Pb_tmp = myPb_tmp(4)
-            Pbdot_tmp = mydPbdt_tmp(4)
+            mydMvdt_tmp(4) = f_advance_EL(myR_tmp(4), myV_tmp(4), myPb_tmp(4), myMv_tmp(4), &
+                                          bub_id, fmass_n, fbeta_c, fbeta_t, mydPbdt_tmp(4))
         end if
         myA_tmp(4) = f_rddot(fRho, fP, myR_tmp(4), myV_tmp(4), fR0, &
-                             Pb_tmp, Pbdot_tmp, alf, fntait, fBtait, &
+                             myPb_tmp(4), mydPbdt_tmp(4), alf, fntait, fBtait, &
                              f_bub_adv_src, f_divu, &
                              fCson)
 
@@ -757,12 +747,39 @@ contains
         err_V = (-5._wp*h/24._wp)*(myA_tmp(2) + myA_tmp(3) - 2._wp*myA_tmp(4)) &
                 /max(abs(myV_tmp(1)), abs(myV_tmp(4)))
         ! Error correction for non-oscillating bubbles
-        if (bubbles_lagrange .and. myA_tmp(1) == 0._wp .and. myA_tmp(2) == 0._wp .and. &
-            myA_tmp(3) == 0._wp .and. myA_tmp(4) == 0._wp) then
+        if (bubbles_lagrange .and. f_approx_equal(myA_tmp(1), 0._wp) .and. f_approx_equal(myA_tmp(2), 0._wp) .and. &
+            f_approx_equal(myA_tmp(3), 0._wp) .and. f_approx_equal(myA_tmp(4), 0._wp)) then
             err_V = 0._wp
         end if
         f_advance_substep = sqrt((err_R**2._wp + err_V**2._wp)/2._wp)
 
     end function f_advance_substep
 
+    !>  Changes of pressure and vapor mass in the lagrange bubbles.
+        !!  @param bub_id Bubble identifier
+        !!  @param fmass_n Current mass of gas
+        !!  @param fbeta_c Mass transfer coefficient
+        !!  @param fbeta_t Heat transfer coefficient
+        !!  @param fR_tmp Bubble radius
+        !!  @param fV_tmp Bubble radial velocity
+        !!  @param fPb_tmp Internal bubble pressure
+        !!  @param fMv_tmp Mass of vapor in the bubble
+        !!  @param fdPbdt_tmp Rate of change of the internal bubble pressure
+        !!  @param fdMvdt_tmp Rate of change of the mass of vapor in the bubble
+    function f_advance_EL(fR_tmp, fV_tmp, fPb_tmp, fMv_tmp, bub_id, fmass_n, fbeta_c, fbeta_t, &
+                          fdPbdt_tmp)
+        !$acc routine seq
+        real(wp), intent(IN) :: fR_tmp, fV_tmp, fPb_tmp, fMv_tmp
+        real(wp), intent(IN) :: fmass_n, fbeta_c, fbeta_t
+        integer, intent(IN) :: bub_id
+        real(wp), intent(INOUT) :: fdPbdt_tmp
+
+        real(wp) :: fVapFlux, f_advance_EL, myR_m, mygamma_m
+
+        fVapFlux = f_vflux(fR_tmp, fV_tmp, fPb_tmp, fMv_tmp, bub_id, fmass_n, fbeta_c, myR_m, mygamma_m)
+        fdPbdt_tmp = f_bpres_dot(fVapFlux, fR_tmp, fV_tmp, fPb_tmp, fMv_tmp, bub_id, fbeta_t, myR_m, mygamma_m)
+        f_advance_EL = 4._wp*pi*fR_tmp**2._wp*fVapFlux
+
+    end function f_advance_EL
+
 end module m_bubbles
diff --git a/src/simulation/m_bubbles_EE.fpp b/src/simulation/m_bubbles_EE.fpp
index 3c2d98325b..2ea598c3b0 100644
--- a/src/simulation/m_bubbles_EE.fpp
+++ b/src/simulation/m_bubbles_EE.fpp
@@ -65,6 +65,8 @@ contains
         @:ALLOCATE(bub_p_src(0:m, 0:n, 0:p, 1:nb))
         @:ALLOCATE(bub_m_src(0:m, 0:n, 0:p, 1:nb))
 
+        if (adap_dt .and. f_is_default(adap_dt_tol)) adap_dt_tol = dflt_adap_dt_tol
+
     end subroutine s_initialize_bubbles_EE_module
 
     ! Compute the bubble volume fraction alpha from the bubble number density n
@@ -166,6 +168,7 @@ contains
 
         integer :: i, j, k, l, q, ii !< Loop variables
 
+        integer :: adap_dt_stop_max, adap_dt_stop !< fail-safe exit if max iteration count reached
         integer :: dmBub_id !< Dummy variables for unified subgrid bubble subroutines
         real(wp) :: dmMass_v, dmMass_n, dmBeta_c, dmBeta_t, dmCson
 
@@ -186,7 +189,9 @@ contains
             end do
         end do
 
-        !$acc parallel loop collapse(3) gang vector default(present) private(Rtmp, Vtmp, myalpha_rho, myalpha)
+        adap_dt_stop_max = 0
+        !$acc parallel loop collapse(3) gang vector default(present) private(Rtmp, Vtmp, myalpha_rho, myalpha)  &
+        !$acc reduction(MAX:adap_dt_stop_max) copy(adap_dt_stop_max)
         do l = 0, p
             do k = 0, n
                 do j = 0, m
@@ -283,8 +288,8 @@ contains
                                                 pb, pbdot, alf, n_tait, B_tait, &
                                                 bub_adv_src(j, k, l), divu%sf(j, k, l), &
                                                 dmBub_id, dmMass_v, dmMass_n, dmBeta_c, &
-                                                dmBeta_t, dmCson)
-
+                                                dmBeta_t, dmCson, adap_dt_stop)
+                            adap_dt_stop_max = max(adap_dt_stop_max, adap_dt_stop)
                             q_cons_vf(rs(q))%sf(j, k, l) = nbub*myR
                             q_cons_vf(vs(q))%sf(j, k, l) = nbub*myV
 
@@ -311,6 +316,8 @@ contains
             end do
         end do
 
+        if (adap_dt .and. adap_dt_stop_max > 0) stop "Adaptive time stepping failed to converge"
+
         if (.not. adap_dt) then
             !$acc parallel loop collapse(3) gang vector default(present)
             do l = 0, p
diff --git a/src/simulation/m_bubbles_EL.fpp b/src/simulation/m_bubbles_EL.fpp
index aeae3ffaf2..76e8d6a6df 100644
--- a/src/simulation/m_bubbles_EL.fpp
+++ b/src/simulation/m_bubbles_EL.fpp
@@ -135,6 +135,8 @@ contains
         @:ALLOCATE(mtn_dposdt(1:nBubs_glb, 1:3, 1:lag_num_ts))
         @:ALLOCATE(mtn_dveldt(1:nBubs_glb, 1:3, 1:lag_num_ts))
 
+        if (adap_dt .and. f_is_default(adap_dt_tol)) adap_dt_tol = dflt_adap_dt_tol
+
         ! Starting bubbles
         call s_start_lagrange_inputs()
         call s_read_input_bubbles(q_cons_vf)
@@ -504,6 +506,8 @@ contains
         real(wp), dimension(contxe) :: myalpha_rho, myalpha
         real(wp), dimension(2) :: Re
         integer, dimension(3) :: cell
+
+        integer :: adap_dt_stop_max, adap_dt_stop !< fail-safe exit if max iteration count reached
         real(wp) :: dmalf, dmntait, dmBtait, dm_bub_adv_src, dm_divu !< Dummy variables for unified subgrid bubble subroutines
 
         integer :: i, k, l
@@ -533,7 +537,9 @@ contains
         end if
 
         ! Radial motion model
-        !$acc parallel loop gang vector default(present) private(k, myalpha_rho, myalpha, Re, cell) copyin(stage)
+        adap_dt_stop_max = 0
+        !$acc parallel loop gang vector default(present) private(k, myalpha_rho, myalpha, Re, cell) &
+        !$acc reduction(MAX:adap_dt_stop_max) copy(adap_dt_stop_max) copyin(stage)
         do k = 1, nBubs
             ! Keller-Miksis model
 
@@ -571,7 +577,8 @@ contains
                 call s_advance_step(myRho, myPinf, myR, myV, myR0, myPb, myPbdot, dmalf, &
                                     dmntait, dmBtait, dm_bub_adv_src, dm_divu, &
                                     k, myMass_v, myMass_n, myBeta_c, &
-                                    myBeta_t, myCson)
+                                    myBeta_t, myCson, adap_dt_stop)
+                adap_dt_stop_max = max(adap_dt_stop_max, adap_dt_stop)
 
                 ! Update bubble state
                 intfc_rad(k, 1) = myR
@@ -594,6 +601,8 @@ contains
 
         end do
 
+        if (adap_dt .and. adap_dt_stop_max > 0) stop "Adaptive time stepping failed to converge"
+
         ! Bubbles remain in a fixed position
         !$acc parallel loop collapse(2) gang vector default(present) private(k) copyin(stage)
         do k = 1, nBubs
diff --git a/src/simulation/m_global_parameters.fpp b/src/simulation/m_global_parameters.fpp
index 9c4c71671f..3932e20ea5 100644
--- a/src/simulation/m_global_parameters.fpp
+++ b/src/simulation/m_global_parameters.fpp
@@ -385,6 +385,7 @@ module m_global_parameters
     logical :: polydisperse !< Polydisperse bubbles
     logical :: adv_n        !< Solve the number density equation and compute alpha from number density
     logical :: adap_dt      !< Adaptive step size control
+    real(wp) :: adap_dt_tol !< Tolerance to control adaptive step size
 
     integer :: bubble_model !< Gilmore or Keller--Miksis bubble model
     integer :: thermal      !< Thermal behavior. 1 = adiabatic, 2 = isotherm, 3 = transfer
@@ -406,7 +407,7 @@ module m_global_parameters
         !$acc declare create(nb)
     #:endif
 
-    !$acc declare create(R0ref, Ca, Web, Re_inv, bubbles_euler, polytropic, polydisperse, qbmm, nmomsp, nmomtot, R0_type, bubble_model, thermal, poly_sigma, adv_n, adap_dt, pi_fac)
+    !$acc declare create(R0ref, Ca, Web, Re_inv, bubbles_euler, polytropic, polydisperse, qbmm, nmomsp, nmomtot, R0_type, bubble_model, thermal, poly_sigma, adv_n, adap_dt, adap_dt_tol, pi_fac)
 
     type(scalar_field), allocatable, dimension(:) :: mom_sp
     type(scalar_field), allocatable, dimension(:, :, :) :: mom_3d
@@ -637,6 +638,7 @@ contains
 
         adv_n = .false.
         adap_dt = .false.
+        adap_dt_tol = dflt_real
 
         pi_fac = 1._wp
 
diff --git a/src/simulation/m_mpi_proxy.fpp b/src/simulation/m_mpi_proxy.fpp
index 69843876cd..cf9a7657fa 100644
--- a/src/simulation/m_mpi_proxy.fpp
+++ b/src/simulation/m_mpi_proxy.fpp
@@ -175,7 +175,7 @@ contains
             & 'x_domain%beg', 'x_domain%end', 'y_domain%beg', 'y_domain%end',    &
             & 'z_domain%beg', 'z_domain%end', 'x_a', 'x_b', 'y_a', 'y_b', 'z_a', &
             & 'z_b', 't_stop', 't_save', 'cfl_target', 'Bx0',  &
-            & 'tau_star', 'cont_damage_s', 'alpha_bar' ]
+            & 'tau_star', 'cont_damage_s', 'alpha_bar', 'adap_dt_tol' ]
             call MPI_BCAST(${VAR}$, 1, mpi_p, 0, MPI_COMM_WORLD, ierr)
         #:endfor
 
diff --git a/src/simulation/m_start_up.fpp b/src/simulation/m_start_up.fpp
index 8032a6f19e..1e4d2b6c83 100644
--- a/src/simulation/m_start_up.fpp
+++ b/src/simulation/m_start_up.fpp
@@ -168,7 +168,8 @@ contains
             relax, relax_model, &
             palpha_eps, ptgalpha_eps, &
             R0_type, file_per_process, sigma, &
-            pi_fac, adv_n, adap_dt, bf_x, bf_y, bf_z, &
+            pi_fac, adv_n, adap_dt, adap_dt_tol, &
+            bf_x, bf_y, bf_z, &
             k_x, k_y, k_z, w_x, w_y, w_z, p_x, p_y, p_z, &
             g_x, g_y, g_z, n_start, t_save, t_stop, &
             cfl_adap_dt, cfl_const_dt, cfl_target, &
@@ -1621,7 +1622,7 @@ contains
         if (chemistry) then
             !$acc update device(q_T_sf%sf)
         end if
-        !$acc update device(nb, R0ref, Ca, Web, Re_inv, weight, R0, V0, bubbles_euler, polytropic, polydisperse, qbmm, R0_type, ptil, bubble_model, thermal, poly_sigma, adv_n, adap_dt, n_idx, pi_fac, low_Mach)
+        !$acc update device(nb, R0ref, Ca, Web, Re_inv, weight, R0, V0, bubbles_euler, polytropic, polydisperse, qbmm, R0_type, ptil, bubble_model, thermal, poly_sigma, adv_n, adap_dt, adap_dt_tol, n_idx, pi_fac, low_Mach)
         !$acc update device(R_n, R_v, phi_vn, phi_nv, Pe_c, Tw, pv, M_n, M_v, k_n, k_v, pb0, mass_n0, mass_v0, Pe_T, Re_trans_T, Re_trans_c, Im_trans_T, Im_trans_c, omegaN , mul0, ss, gamma_v, mu_v, gamma_m, gamma_n, mu_n, gam)
 
         !$acc update device(acoustic_source, num_source)
diff --git a/toolchain/mfc/run/case_dicts.py b/toolchain/mfc/run/case_dicts.py
index e1e5acf431..cb8f1f5aae 100644
--- a/toolchain/mfc/run/case_dicts.py
+++ b/toolchain/mfc/run/case_dicts.py
@@ -244,6 +244,7 @@ def analytic(self):
     'ptgalpha_eps': ParamType.REAL,
     'pi_fac': ParamType.REAL,
     'adap_dt': ParamType.LOG,
+    'adap_dt_tol': ParamType.REAL,
     'ib': ParamType.LOG,
     'num_ibs': ParamType.INT,
     'n_start': ParamType.INT,

From 2e3017a3230bc800e165b9b06c5b494a82dda87c Mon Sep 17 00:00:00 2001
From: Diego Vaca <diegovaca@Diegos-MacBook-Pro-128.local>
Date: Tue, 13 May 2025 20:47:20 -0500
Subject: [PATCH 08/10] Addressing comments 2

---
 src/common/m_constants.fpp      |  9 ++++++++-
 src/simulation/m_bubbles.fpp    | 14 +++++++-------
 src/simulation/m_bubbles_EE.fpp |  6 +++++-
 src/simulation/m_bubbles_EL.fpp |  5 ++++-
 src/simulation/m_checker.fpp    |  2 +-
 5 files changed, 25 insertions(+), 11 deletions(-)

diff --git a/src/common/m_constants.fpp b/src/common/m_constants.fpp
index 2da657b5b3..c9935d6ee1 100644
--- a/src/common/m_constants.fpp
+++ b/src/common/m_constants.fpp
@@ -53,7 +53,14 @@ module m_constants
     ! Strang Splitting constants
     real(wp), parameter :: dflt_adap_dt_tol = 1e-4_wp !< Default tolerance for adaptive step size
     integer, parameter :: adap_dt_max_iters = 100 !< Maximum number of iterations
-
+    ! Constants of the algorithm described by Heirer, E. Hairer S.P.Nørsett G. Wanner, Solving Ordinary Differential Equations I, Chapter II.4
+    ! to choose the initial time step size for the adaptive time stepping routine
+    real(wp), parameter :: threshold_first_guess = 1e-5_wp
+    real(wp), parameter :: threshold_second_guess = 1e-15_wp
+    real(wp), parameter :: scale_first_guess = 1e-3_wp
+    real(wp), parameter :: scale_guess = 1e-2_wp
+    real(wp), parameter :: small_guess = 1e-6_wp
+    
     ! Relativity
     integer, parameter :: relativity_cons_to_prim_max_iter = 100
 
diff --git a/src/simulation/m_bubbles.fpp b/src/simulation/m_bubbles.fpp
index 2ee3b8fb9c..2284dfedb6 100644
--- a/src/simulation/m_bubbles.fpp
+++ b/src/simulation/m_bubbles.fpp
@@ -612,10 +612,10 @@ contains
         ! Compute d_0 = ||y0|| and d_1 = ||f(x0,y0)||
         d_norms(1) = sqrt((myR_tmp(1)**2._wp + myV_tmp(1)**2._wp)/2._wp)
         d_norms(2) = sqrt((myV_tmp(1)**2._wp + myA_tmp(1)**2._wp)/2._wp)
-        if (d_norms(1) < 1e-5_wp .or. d_norms(2) < 1e-5_wp) then
-            h_size(1) = 1e-6_wp
+        if (d_norms(1) < threshold_first_guess .or. d_norms(2) < threshold_first_guess) then
+            h_size(1) = small_guess
         else
-            h_size(1) = 1e-2_wp*(d_norms(1)/d_norms(2))
+            h_size(1) = scale_guess*(d_norms(1)/d_norms(2))
         end if
 
         ! Evaluate f(x0+h0,y0+h0*f(x0,y0))
@@ -631,13 +631,13 @@ contains
 
         ! Set h1 = (0.01/max(d_1,d_2))^{1/(p+1)}
         !      if max(d_1,d_2) < 1e-15_wp, h_size(2) = max(1e-6_wp, h0*1e-3_wp)
-        if (max(d_norms(2), d_norms(3)) < 1e-15_wp) then
-            h_size(2) = max(1e-6_wp, h_size(1)*1e-3_wp)
+        if (max(d_norms(2), d_norms(3)) < threshold_second_guess) then
+            h_size(2) = max(small_guess, h_size(1)*scale_first_guess)
         else
-            h_size(2) = (1e-2_wp/max(d_norms(2), d_norms(3)))**(1._wp/3._wp)
+            h_size(2) = (scale_guess/max(d_norms(2), d_norms(3)))**(1._wp/3._wp)
         end if
 
-        f_initial_substep_h = min(100._wp*h_size(1), h_size(2))
+        f_initial_substep_h = min(h_size(1)/scale_guess, h_size(2))
 
     end function f_initial_substep_h
 
diff --git a/src/simulation/m_bubbles_EE.fpp b/src/simulation/m_bubbles_EE.fpp
index 2ea598c3b0..5806f98c8b 100644
--- a/src/simulation/m_bubbles_EE.fpp
+++ b/src/simulation/m_bubbles_EE.fpp
@@ -282,6 +282,8 @@ contains
                         end if
 
                         ! Adaptive time stepping
+                        adap_dt_stop = 0
+
                         if (adap_dt) then
 
                             call s_advance_step(myRho, myP, myR, myV, R0(q), &
@@ -289,7 +291,7 @@ contains
                                                 bub_adv_src(j, k, l), divu%sf(j, k, l), &
                                                 dmBub_id, dmMass_v, dmMass_n, dmBeta_c, &
                                                 dmBeta_t, dmCson, adap_dt_stop)
-                            adap_dt_stop_max = max(adap_dt_stop_max, adap_dt_stop)
+                            
                             q_cons_vf(rs(q))%sf(j, k, l) = nbub*myR
                             q_cons_vf(vs(q))%sf(j, k, l) = nbub*myV
 
@@ -302,6 +304,8 @@ contains
                             bub_r_src(j, k, l, q) = q_cons_vf(vs(q))%sf(j, k, l)
                         end if
 
+                        adap_dt_stop_max = max(adap_dt_stop_max, adap_dt_stop)
+
                         if (alf < 1.e-11_wp) then
                             bub_adv_src(j, k, l) = 0._wp
                             bub_r_src(j, k, l, q) = 0._wp
diff --git a/src/simulation/m_bubbles_EL.fpp b/src/simulation/m_bubbles_EL.fpp
index 1bb0179e83..46ceb786ee 100644
--- a/src/simulation/m_bubbles_EL.fpp
+++ b/src/simulation/m_bubbles_EL.fpp
@@ -572,13 +572,14 @@ contains
             call s_compute_cson_from_pinf(k, q_prim_vf, myPinf, cell, myRho, gamma, pi_inf, myCson)
 
             ! Adaptive time stepping
+            adap_dt_stop = 0
+            
             if (adap_dt) then
 
                 call s_advance_step(myRho, myPinf, myR, myV, myR0, myPb, myPbdot, dmalf, &
                                     dmntait, dmBtait, dm_bub_adv_src, dm_divu, &
                                     k, myMass_v, myMass_n, myBeta_c, &
                                     myBeta_t, myCson, adap_dt_stop)
-                adap_dt_stop_max = max(adap_dt_stop_max, adap_dt_stop)
 
                 ! Update bubble state
                 intfc_rad(k, 1) = myR
@@ -599,6 +600,8 @@ contains
 
             end if
 
+            adap_dt_stop_max = max(adap_dt_stop_max, adap_dt_stop)
+
         end do
 
         if (adap_dt .and. adap_dt_stop_max > 0) stop "Adaptive time stepping failed to converge"
diff --git a/src/simulation/m_checker.fpp b/src/simulation/m_checker.fpp
index c8fd9676b7..989da2e565 100644
--- a/src/simulation/m_checker.fpp
+++ b/src/simulation/m_checker.fpp
@@ -115,7 +115,7 @@ contains
         if (.not. cfl_dt) then
             @:PROHIBIT(dt <= 0)
         end if
-        @:PROHIBIT(time_stepper < 1 .or. time_stepper > 4)
+        @:PROHIBIT(time_stepper < 1 .or. time_stepper > 3)
     end subroutine s_check_inputs_time_stepping
 
     !> Checks constraints on parameters related to 6-equation model

From 2aac61a7132d7e39856e82733bded4fb4aa167f0 Mon Sep 17 00:00:00 2001
From: Diego Vaca <diegovaca@Diegos-MacBook-Pro-128.local>
Date: Tue, 13 May 2025 20:52:04 -0500
Subject: [PATCH 09/10] Formatted

---
 src/common/m_constants.fpp      | 2 +-
 src/simulation/m_bubbles_EE.fpp | 2 +-
 src/simulation/m_bubbles_EL.fpp | 2 +-
 3 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/src/common/m_constants.fpp b/src/common/m_constants.fpp
index c9935d6ee1..02e2eb9bd4 100644
--- a/src/common/m_constants.fpp
+++ b/src/common/m_constants.fpp
@@ -60,7 +60,7 @@ module m_constants
     real(wp), parameter :: scale_first_guess = 1e-3_wp
     real(wp), parameter :: scale_guess = 1e-2_wp
     real(wp), parameter :: small_guess = 1e-6_wp
-    
+
     ! Relativity
     integer, parameter :: relativity_cons_to_prim_max_iter = 100
 
diff --git a/src/simulation/m_bubbles_EE.fpp b/src/simulation/m_bubbles_EE.fpp
index 5806f98c8b..614d8fb1b7 100644
--- a/src/simulation/m_bubbles_EE.fpp
+++ b/src/simulation/m_bubbles_EE.fpp
@@ -291,7 +291,7 @@ contains
                                                 bub_adv_src(j, k, l), divu%sf(j, k, l), &
                                                 dmBub_id, dmMass_v, dmMass_n, dmBeta_c, &
                                                 dmBeta_t, dmCson, adap_dt_stop)
-                            
+
                             q_cons_vf(rs(q))%sf(j, k, l) = nbub*myR
                             q_cons_vf(vs(q))%sf(j, k, l) = nbub*myV
 
diff --git a/src/simulation/m_bubbles_EL.fpp b/src/simulation/m_bubbles_EL.fpp
index 46ceb786ee..a7be02869e 100644
--- a/src/simulation/m_bubbles_EL.fpp
+++ b/src/simulation/m_bubbles_EL.fpp
@@ -573,7 +573,7 @@ contains
 
             ! Adaptive time stepping
             adap_dt_stop = 0
-            
+
             if (adap_dt) then
 
                 call s_advance_step(myRho, myPinf, myR, myV, myR0, myPb, myPbdot, dmalf, &

From 81121a7282b4fe047c05273a723e01b3cc2f296e Mon Sep 17 00:00:00 2001
From: Diego Vaca <diegovaca@Diegos-MacBook-Pro-128.local>
Date: Fri, 16 May 2025 23:15:51 -0500
Subject: [PATCH 10/10] Addressing comments 3 and fixing Frontier

---
 src/simulation/m_bubbles.fpp    | 91 +++++++++++++++++++--------------
 src/simulation/m_bubbles_EE.fpp |  4 +-
 src/simulation/m_bubbles_EL.fpp | 33 +++++++-----
 src/simulation/m_start_up.fpp   |  3 +-
 4 files changed, 76 insertions(+), 55 deletions(-)

diff --git a/src/simulation/m_bubbles.fpp b/src/simulation/m_bubbles.fpp
index 2284dfedb6..c93c333e41 100644
--- a/src/simulation/m_bubbles.fpp
+++ b/src/simulation/m_bubbles.fpp
@@ -457,6 +457,7 @@ contains
         !!  @param fbeta_c Mass transfer coefficient (EL)
         !!  @param fbeta_t Heat transfer coefficient (EL)
         !!  @param fCson Speed of sound (EL)
+        !!  @param adap_dt_stop Fail-safe exit if max iteration count reached
     subroutine s_advance_step(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
                               fntait, fBtait, f_bub_adv_src, f_divu, &
                               bub_id, fmass_v, fmass_n, fbeta_c, &
@@ -471,17 +472,18 @@ contains
         real(wp), intent(in) :: fntait, fBtait, f_bub_adv_src, f_divu
         integer, intent(in) :: bub_id
         real(wp), intent(in) :: fmass_n, fbeta_c, fbeta_t, fCson
-        integer, intent(out) :: adap_dt_stop
+        integer, intent(inout) :: adap_dt_stop
 
         real(wp), dimension(5) :: err !< Error estimates for adaptive time stepping
         real(wp) :: t_new !< Updated time step size
         real(wp) :: h !< Time step size
         real(wp), dimension(4) :: myR_tmp1, myV_tmp1, myR_tmp2, myV_tmp2 !< Bubble radius, radial velocity, and radial acceleration for the inner loop
         real(wp), dimension(4) :: myPb_tmp1, myMv_tmp1, myPb_tmp2, myMv_tmp2 !< Gas pressure and vapor mass for the inner loop (EL)
+        real(wp) :: fR2, fV2, fpb2, fmass_v2
         integer :: iter_count
 
-        h = f_initial_substep_h(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
-                                fntait, fBtait, f_bub_adv_src, f_divu, fCson)
+        call s_initial_substep_h(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                                 fntait, fBtait, f_bub_adv_src, f_divu, fCson, h)
 
         ! Advancing one step
         t_new = 0._wp
@@ -500,27 +502,30 @@ contains
                 iter_count = iter_count + 1
 
                 ! Advance one sub-step
-                err(1) = f_advance_substep( &
-                         fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
-                         fntait, fBtait, f_bub_adv_src, f_divu, &
-                         bub_id, fmass_v, fmass_n, fbeta_c, &
-                         fbeta_t, fCson, h, &
-                         myR_tmp1, myV_tmp1, myPb_tmp1, myMv_tmp1)
+                call s_advance_substep(err(1), &
+                                       fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                                       fntait, fBtait, f_bub_adv_src, f_divu, &
+                                       bub_id, fmass_v, fmass_n, fbeta_c, &
+                                       fbeta_t, fCson, h, &
+                                       myR_tmp1, myV_tmp1, myPb_tmp1, myMv_tmp1)
 
                 ! Advance one sub-step by advancing two half steps
-                err(2) = f_advance_substep( &
-                         fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
-                         fntait, fBtait, f_bub_adv_src, f_divu, &
-                         bub_id, fmass_v, fmass_n, fbeta_c, &
-                         fbeta_t, fCson, 0.5_wp*h, &
-                         myR_tmp2, myV_tmp2, myPb_tmp2, myMv_tmp2)
-
-                err(3) = f_advance_substep( &
-                         fRho, fP, myR_tmp2(4), myV_tmp2(4), fR0, myPb_tmp2(4), fpbdot, alf, &
-                         fntait, fBtait, f_bub_adv_src, f_divu, &
-                         bub_id, myMv_tmp2(4), fmass_n, fbeta_c, &
-                         fbeta_t, fCson, 0.5_wp*h, &
-                         myR_tmp2, myV_tmp2, myPb_tmp2, myMv_tmp2)
+                call s_advance_substep(err(2), &
+                                       fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                                       fntait, fBtait, f_bub_adv_src, f_divu, &
+                                       bub_id, fmass_v, fmass_n, fbeta_c, &
+                                       fbeta_t, fCson, 0.5_wp*h, &
+                                       myR_tmp2, myV_tmp2, myPb_tmp2, myMv_tmp2)
+
+                fR2 = myR_tmp2(4); fV2 = myV_tmp2(4)
+                fpb2 = myPb_tmp2(4); fmass_v2 = myMv_tmp2(4)
+
+                call s_advance_substep(err(3), &
+                                       fRho, fP, fR2, fV2, fR0, fpb2, fpbdot, alf, &
+                                       fntait, fBtait, f_bub_adv_src, f_divu, &
+                                       bub_id, fmass_v2, fmass_n, fbeta_c, &
+                                       fbeta_t, fCson, 0.5_wp*h, &
+                                       myR_tmp2, myV_tmp2, myPb_tmp2, myMv_tmp2)
 
                 err(4) = abs((myR_tmp1(4) - myR_tmp2(4))/myR_tmp1(4))
                 err(5) = abs((myV_tmp1(4) - myV_tmp2(4))/myV_tmp1(4))
@@ -587,15 +592,20 @@ contains
         !!  @param f_bub_adv_src Source for bubble volume fraction
         !!  @param f_divu Divergence of velocity
         !!  @param fCson Speed of sound (EL)
-    function f_initial_substep_h(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
-                                 fntait, fBtait, f_bub_adv_src, f_divu, &
-                                 fCson)
+        !!  @param h Time step size
+    subroutine s_initial_substep_h(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                                   fntait, fBtait, f_bub_adv_src, f_divu, &
+                                   fCson, h)
+#ifdef _CRAYFTN
+        !DIR$ INLINEALWAYS s_initial_substep_h
+#else
         !$acc routine seq
+#endif
         real(wp), intent(IN) :: fRho, fP, fR, fV, fR0, fpb, fpbdot, alf
         real(wp), intent(IN) :: fntait, fBtait, f_bub_adv_src, f_divu
         real(wp), intent(IN) :: fCson
+        real(wp), intent(OUT) :: h
 
-        real(wp) :: f_initial_substep_h
         real(wp), dimension(2) :: h_size !< Time step size (h0, h1)
         real(wp), dimension(3) :: d_norms !< norms (d_0, d_1, d_2)
         real(wp), dimension(2) :: myR_tmp, myV_tmp, myA_tmp !< Bubble radius, radial velocity, and radial acceleration
@@ -637,12 +647,13 @@ contains
             h_size(2) = (scale_guess/max(d_norms(2), d_norms(3)))**(1._wp/3._wp)
         end if
 
-        f_initial_substep_h = min(h_size(1)/scale_guess, h_size(2))
+        h = min(h_size(1)/scale_guess, h_size(2))
 
-    end function f_initial_substep_h
+    end subroutine s_initial_substep_h
 
     !>  Integrate bubble variables over the given time step size, h, using a
         !!      third-order accurate embedded Runge–Kutta scheme.
+        !!  @param err Estimated error
         !!  @param fRho Current density
         !!  @param fP Current driving pressure
         !!  @param fR Current bubble radius
@@ -666,12 +677,17 @@ contains
         !!  @param myV_tmp Bubble radial velocity at each stage
         !!  @param myPb_tmp Internal bubble pressure at each stage (EL)
         !!  @param myMv_tmp Mass of vapor in the bubble at each stage (EL)
-    function f_advance_substep(fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
-                               fntait, fBtait, f_bub_adv_src, f_divu, &
-                               bub_id, fmass_v, fmass_n, fbeta_c, &
-                               fbeta_t, fCson, h, &
-                               myR_tmp, myV_tmp, myPb_tmp, myMv_tmp)
+    subroutine s_advance_substep(err, fRho, fP, fR, fV, fR0, fpb, fpbdot, alf, &
+                                 fntait, fBtait, f_bub_adv_src, f_divu, &
+                                 bub_id, fmass_v, fmass_n, fbeta_c, &
+                                 fbeta_t, fCson, h, &
+                                 myR_tmp, myV_tmp, myPb_tmp, myMv_tmp)
+#ifdef _CRAYFTN
+        !DIR$ INLINEALWAYS s_advance_substep
+#else
         !$acc routine seq
+#endif
+        real(wp), intent(OUT) :: err
         real(wp), intent(IN) :: fRho, fP, fR, fV, fR0, fpb, fpbdot, alf
         real(wp), intent(IN) :: fntait, fBtait, f_bub_adv_src, f_divu, h
         integer, intent(IN) :: bub_id
@@ -679,7 +695,6 @@ contains
         real(wp), dimension(4), intent(OUT) :: myR_tmp, myV_tmp, myPb_tmp, myMv_tmp
 
         real(wp), dimension(4) :: myA_tmp, mydPbdt_tmp, mydMvdt_tmp
-        real(wp) :: f_advance_substep
         real(wp) :: err_R, err_V
 
         myPb_tmp(1:4) = fpb
@@ -751,9 +766,9 @@ contains
             f_approx_equal(myA_tmp(3), 0._wp) .and. f_approx_equal(myA_tmp(4), 0._wp)) then
             err_V = 0._wp
         end if
-        f_advance_substep = sqrt((err_R**2._wp + err_V**2._wp)/2._wp)
+        err = sqrt((err_R**2._wp + err_V**2._wp)/2._wp)
 
-    end function f_advance_substep
+    end subroutine s_advance_substep
 
     !>  Changes of pressure and vapor mass in the lagrange bubbles.
         !!  @param bub_id Bubble identifier
@@ -766,8 +781,8 @@ contains
         !!  @param fMv_tmp Mass of vapor in the bubble
         !!  @param fdPbdt_tmp Rate of change of the internal bubble pressure
         !!  @param fdMvdt_tmp Rate of change of the mass of vapor in the bubble
-    function f_advance_EL(fR_tmp, fV_tmp, fPb_tmp, fMv_tmp, bub_id, fmass_n, fbeta_c, fbeta_t, &
-                          fdPbdt_tmp)
+    function f_advance_EL(fR_tmp, fV_tmp, fPb_tmp, fMv_tmp, bub_id, &
+                          fmass_n, fbeta_c, fbeta_t, fdPbdt_tmp)
         !$acc routine seq
         real(wp), intent(IN) :: fR_tmp, fV_tmp, fPb_tmp, fMv_tmp
         real(wp), intent(IN) :: fmass_n, fbeta_c, fbeta_t
diff --git a/src/simulation/m_bubbles_EE.fpp b/src/simulation/m_bubbles_EE.fpp
index 614d8fb1b7..99d935391e 100644
--- a/src/simulation/m_bubbles_EE.fpp
+++ b/src/simulation/m_bubbles_EE.fpp
@@ -168,7 +168,7 @@ contains
 
         integer :: i, j, k, l, q, ii !< Loop variables
 
-        integer :: adap_dt_stop_max, adap_dt_stop !< fail-safe exit if max iteration count reached
+        integer :: adap_dt_stop_max, adap_dt_stop !< Fail-safe exit if max iteration count reached
         integer :: dmBub_id !< Dummy variables for unified subgrid bubble subroutines
         real(wp) :: dmMass_v, dmMass_n, dmBeta_c, dmBeta_t, dmCson
 
@@ -320,7 +320,7 @@ contains
             end do
         end do
 
-        if (adap_dt .and. adap_dt_stop_max > 0) stop "Adaptive time stepping failed to converge"
+        if (adap_dt .and. adap_dt_stop_max > 0) call s_mpi_abort("Adaptive time stepping failed to converge.")
 
         if (.not. adap_dt) then
             !$acc parallel loop collapse(3) gang vector default(present)
diff --git a/src/simulation/m_bubbles_EL.fpp b/src/simulation/m_bubbles_EL.fpp
index a7be02869e..0d5557cd2b 100644
--- a/src/simulation/m_bubbles_EL.fpp
+++ b/src/simulation/m_bubbles_EL.fpp
@@ -224,7 +224,7 @@ contains
                     indomain = particle_in_domain(inputBubble(1:3))
                     id = id + 1
                     if (id > lag_params%nBubs_glb .and. proc_rank == 0) then
-                        call s_mpi_abort('Current number of bubbles is larger than nBubs_glb')
+                        call s_mpi_abort("Current number of bubbles is larger than nBubs_glb")
                     end if
                     if (indomain) then
                         bub_id = bub_id + 1
@@ -236,7 +236,7 @@ contains
                 end do
                 close (94)
             else
-                stop "Lagrange bubbles: you have to initialize them in input/lag_bubbles.dat"
+                call s_mpi_abort("Initialize the lagrange bubbles in input/lag_bubbles.dat")
             end if
         else
             if (proc_rank == 0) print *, 'Restarting lagrange bubbles at save_count: ', save_count
@@ -318,13 +318,18 @@ contains
         call s_locate_cell(mtn_pos(bub_id, 1:3, 1), cell, mtn_s(bub_id, 1:3, 1))
 
         ! Check if the bubble is located in the ghost cell of a symmetric boundary
-        if (bc_x%beg == BC_REFLECTIVE .and. cell(1) < 0) stop "Lagrange bubble is in the ghost cells of a symmetric boundary (bc_x%beg)."
-        if (bc_x%end == BC_REFLECTIVE .and. cell(1) > m) stop "Lagrange bubble is in the ghost cells of a symmetric boundary (bc_x%end)."
-        if (bc_y%beg == BC_REFLECTIVE .and. cell(2) < 0) stop "Lagrange bubble is in the ghost cells of a symmetric boundary (bc_y%beg)."
-        if (bc_y%end == BC_REFLECTIVE .and. cell(2) > n) stop "Lagrange bubble is in the ghost cells of a symmetric boundary (bc_y%end)."
+        if ((bc_x%beg == BC_REFLECTIVE .and. cell(1) < 0) .or. &
+            (bc_x%end == BC_REFLECTIVE .and. cell(1) > m) .or. &
+            (bc_y%beg == BC_REFLECTIVE .and. cell(2) < 0) .or. &
+            (bc_y%end == BC_REFLECTIVE .and. cell(2) > n)) then
+            call s_mpi_abort("Lagrange bubble is in the ghost cells of a symmetric boundary.")
+        end if
+
         if (p > 0) then
-            if (bc_z%beg == BC_REFLECTIVE .and. cell(3) < 0) stop "Lagrange bubble is in the ghost cells of a symmetric boundary (bc_z%beg)."
-            if (bc_z%end == BC_REFLECTIVE .and. cell(3) > p) stop "Lagrange bubble is in the ghost cells of a symmetric boundary (bc_z%end)."
+            if ((bc_z%beg == BC_REFLECTIVE .and. cell(3) < 0) .or. &
+                (bc_z%end == BC_REFLECTIVE .and. cell(3) > p)) then
+                call s_mpi_abort("Lagrange bubble is in the ghost cells of a symmetric boundary.")
+            end if
         end if
 
         ! If particle is in the ghost cells, find the closest non-ghost cell
@@ -355,7 +360,7 @@ contains
         gas_mv(bub_id, 1) = pv*volparticle*(1._wp/(R_v*Tw))*(massflag) ! vapermass
         gas_mg(bub_id) = (gas_p(bub_id, 1) - pv*(massflag))*volparticle*(1._wp/(R_n*Tw)) ! gasmass
         if (gas_mg(bub_id) <= 0._wp) then
-            stop 'The initial mass of gas inside the bubble is negative. Check your initial conditions'
+            call s_mpi_abort("The initial mass of gas inside the bubble is negative. Check the initial conditions.")
         end if
         totalmass = gas_mg(bub_id) + gas_mv(bub_id, 1) ! totalmass
 
@@ -363,7 +368,7 @@ contains
         concvap = gas_mv(bub_id, 1)/(gas_mv(bub_id, 1) + gas_mg(bub_id))
         omegaN = (3._wp*(gas_p(bub_id, 1) - pv*(massflag)) + 4._wp*(1._wp/Web)/bub_R0(bub_id))/rhol
         if (pv*(massflag) > gas_p(bub_id, 1)) then
-            stop "Lagrange bubble initially located in a region with pressure below the vapor pressure."
+            call s_mpi_abort("Lagrange bubble initially located in a region with pressure below the vapor pressure.")
         end if
         omegaN = sqrt(omegaN/bub_R0(bub_id)**2._wp)
 
@@ -379,7 +384,9 @@ contains
         call s_transcoeff(1._wp, PeG, Re_trans, Im_trans)
         gas_betaC(bub_id) = Re_trans*(massflag)*lag_params%diffcoefvap
 
-        if (gas_mg(bub_id) <= 0._wp) stop "Negative gas mass in the bubble, check if the bubble is in the domain."
+        if (gas_mg(bub_id) <= 0._wp) then
+            call s_mpi_abort("Negative gas mass in the bubble, check if the bubble is in the domain.")
+        end if
 
     end subroutine s_add_bubbles
 
@@ -507,7 +514,7 @@ contains
         real(wp), dimension(2) :: Re
         integer, dimension(3) :: cell
 
-        integer :: adap_dt_stop_max, adap_dt_stop !< fail-safe exit if max iteration count reached
+        integer :: adap_dt_stop_max, adap_dt_stop !< Fail-safe exit if max iteration count reached
         real(wp) :: dmalf, dmntait, dmBtait, dm_bub_adv_src, dm_divu !< Dummy variables for unified subgrid bubble subroutines
 
         integer :: i, k, l
@@ -604,7 +611,7 @@ contains
 
         end do
 
-        if (adap_dt .and. adap_dt_stop_max > 0) stop "Adaptive time stepping failed to converge"
+        if (adap_dt .and. adap_dt_stop_max > 0) call s_mpi_abort("Adaptive time stepping failed to converge.")
 
         ! Bubbles remain in a fixed position
         !$acc parallel loop collapse(2) gang vector default(present) private(k) copyin(stage)
diff --git a/src/simulation/m_start_up.fpp b/src/simulation/m_start_up.fpp
index f966218ad6..701bcdd396 100644
--- a/src/simulation/m_start_up.fpp
+++ b/src/simulation/m_start_up.fpp
@@ -1431,8 +1431,7 @@ contains
             !$acc update host(intfc_rad)
             do i = 1, nBubs
                 if (ieee_is_nan(intfc_rad(i, 1)) .or. intfc_rad(i, 1) <= 0._wp) then
-                    print *, "Bubble radius is negative or NaN", proc_rank, t_step, i, intfc_rad(i, 1)
-                    error stop "Bubble radius is negative or NaN, please reduce dt"
+                    call s_mpi_abort("Bubble radius is negative or NaN, please reduce dt.")
                 end if
             end do