Ideas for new features and examples

Some of the ideas listed below are good candidates for individual or team projects or theses.

New features:

• Fully third order option from Maciek Waruszewski's PhD/paper: http://dx.doi.org/10.1016/j.jcp.2018.01.005
• Parallelisation using ga4py: https://github.com/GlobalArrays/ga4py
• Parallelisation using numba-mpi: https://github.com/atmos-cloud-sim-uj/numba-mpi
• Kahan summation
• handle multiple fields within PyMPDATA?

Performance:

• LLVM profiling
• benchmark arakawa_c fields against fortran, blitz++, eigen, ...
• automated test on travis comparing with libmpdata++ (and/or microHH)

New examples:

• droplet population evaporation (as for condensation in Olesik et al.)
• example with an error norm involving G factr (see comment in Olesik et al.)
• isopycnic, flow over a hill:
  • Fig 9 in Schär & Smolarkiewicz 1996)
  • Fig 16 in Szmelter & Smolarkiewicz 2010
• revolving sphere in 3D:
  • Smolarkiewicz and Szmelter 2005
  • section 3.7 in Jaruga et al. 2015
• pedestrian dynamics
• Black-Scholes with 3rd order option
• example from "Blending Brownian motion and heat equation" by Emiliano Cristiani
• four-dimensional advection-diffusion problem: https://doi.org/10.21314/JCF.2015.293
• sand dunes: http://dx.doi.org/10.1002/fld.1138
• bulk cloud microphysics example
• Arabas et al. 2014 example: http://dx.doi.org/10.3233/SPR-140379
• HJB? (Merton's portfolio?)
• aquaplanet? (https://github.com/ExeClim/Isca/tree/master/exp/test_cases)
• test case from https://gmd.copernicus.org/preprints/gmd-2020-304/gmd-2020-304.pdf
• diffusion in soil (see comment in Arabas & Farhat)
• finance: Asian options
• finance: volatility eq.
• shallow water on a sphere
• Gaussian grid on a sphere
• semi-Lagrangian
• MHD hello world
• von Karman streak
• TGV

Misc:

• MPI tests on Raspberry Pi cluster

Packaging, dissemination, etc:

• PyPI package
• conda package

CI features:

• timing test for compilation (so that if new version of, let's say, numba makes compilation much longer an assert fails)
• as in PySDM wiki: https://github.com/atmos-cloud-sim-uj/PySDM/wiki/Ideas-for-new-features-and-examples#new-ci-features