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README.md

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* Acoustic wave generation (one- and two-way sound sources)
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* Magnetohydrodynamics (MHD)
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* Relativistic Magnetohydrodynamics (RMHD)
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</details>
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### Numerics
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* RK4-5 operator splitting for Euler-Lagrange modeling
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* Interface sharpening (THINC-like)
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### Large-scale and accelerated simulation
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* GPU compatible on NVIDIA ([P/V/A/H]100, GH200, etc.) and AMD (MI[1/2/3]00+) GPU and APU hardware
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## Citation
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If you use MFC, consider citing it as:
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<p align="center">
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<a href="https://doi.org/10.1016/j.cpc.2020.107396">
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S. H. Bryngelson, K. Schmidmayer, V. Coralic, K. Maeda, J. Meng, T. Colonius (2021) Computer Physics Communications <b>266</b>, 107396
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</a>
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</p>
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If you use MFC, consider citing it as below.
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Ref. 1 includes all modern MFC features, including GPU acceleration and many new physics features.
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If referencing MFC's (GPU) performance, consider citing ref. 1 and 2, which describe the solver and how it was crafted.
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The original open-source release of MFC is ref. 3, which should be cited for provenance as appropriate.
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```bibtex
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@article{Bryngelson_2021,
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title = {{MFC: A}n open-source high-order multi-component, multi-phase, and multi-scale compressible flow solver},
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author = {S. H. Bryngelson and K. Schmidmayer and V. Coralic and J. C. Meng and K. Maeda and T. Colonius},
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journal = {Computer Physics Communications},
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year = {2021},
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volume = {266},
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pages = {107396},
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doi = {10.1016/j.cpc.2020.107396}
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@article{Wilfong_2025,
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author = {Wilfong, Benjamin and {Le Berre}, Henry and Radhakrishnan, Anand and Gupta, Ansh and Vaca-Revelo, Diego and Adam, Dimitrios and Yu, Haocheng and Lee, Hyeoksu and Chreim, Jose Rodolfo and {Carcana Barbosa}, Mirelys and Zhang, Yanjun and Cisneros-Garibay, Esteban and Gnanaskandan, Aswin and {Rodriguez Jr.}, Mauro and Budiardja, Reuben D. and Abbott, Stephen and Colonius, Tim and Bryngelson, Spencer H.},
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title = {{MFC 5.0: A}n exascale many-physics flow solver},
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journal = {arXiv preprint arXiv:2503.07953},
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year = {2025},
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doi = {10.48550/arXiv.2503.07953}
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}
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```
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```bibtex
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@article{Radhakrishnan_2024,
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title = {Method for portable, scalable, and performant {GPU}-accelerated simulation of multiphase compressible flow},
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author = {A. Radhakrishnan and H. {Le Berre} and B. Wilfong and J.-S. Spratt and M. {Rodriguez Jr.} and T. Colonius and S. H. Bryngelson},
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pages = {109238},
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doi = {10.1016/j.cpc.2024.109238}
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}
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@article{Bryngelson_2021,
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title = {{MFC: A}n open-source high-order multi-component, multi-phase, and multi-scale compressible flow solver},
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author = {S. H. Bryngelson and K. Schmidmayer and V. Coralic and J. C. Meng and K. Maeda and T. Colonius},
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journal = {Computer Physics Communications},
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year = {2021},
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volume = {266},
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pages = {107396},
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doi = {10.1016/j.cpc.2020.107396}
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}
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```
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## License
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MFC computations have used many supercomputing systems. A partial list is below
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* OLCF Frontier and Summit, and testbeds Wombat, Crusher, and Spock (allocation CFD154, PI Bryngelson)
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* LLNL Tuolumne and Lassen, El Capitan early access system Tioga
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* PSC Bridges(1/2), NCSA Delta, SDSC Comet and Expanse, Purdue Anvil, TACC Stampede(1-3), and TAMU ACES via ACCESS-CI allocations from Bryngelson, Colonius, Rodriguez, and more.
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* DOD systems Onyx, Carpenter, Nautilus, and Narwhal via the DOD HPCMP program
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* LLNL El Capitan, Tuolumne, and Lassen; El Capitan early access system Tioga
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* NCSA Delta and DeltaAI, PSC Bridges(1/2), SDSC Comet and Expanse, Purdue Anvil, TACC Stampede(1-3), and TAMU ACES via ACCESS-CI allocations from Bryngelson, Colonius, Rodriguez, and more.
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* DOD systems Blueback, Onyx, Carpenter, Nautilus, and Narwhal via the DOD HPCMP program
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* Sandia National Labs systems Doom and Attaway and testbed systems Weaver and Vortex
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## Contributors
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[![Contributors](https://contributors-img.web.app/image?repo=mflowcode/mfc)](https://github.com/mflowcode/mfc/graphs/contributors)

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