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sbryngelson merged 17 commits into from
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Restructure README for impact and fix broken doc links #1151

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11a29c3
Restructure README: lead with impact, add Why MFC, fix broken links
sbryngelson Feb 16, 2026
a929047
Link airfoil example to specific directory
sbryngelson Feb 16, 2026
050c074
Fix case of 3D_shockdroplet directory in README
sbryngelson Feb 16, 2026
e04cf29
Update docs landing page: add Gordon Bell mention, OG tags, and new s…
sbryngelson Feb 16, 2026
872cbbd
Add alt text to badge images and fix list indentation
sbryngelson Feb 16, 2026
b5cf395
Fix og:image to use existing banner.png asset
sbryngelson Feb 16, 2026
66e18d1
Update README with GitHub assets link
sbryngelson Feb 16, 2026
470be96
Replace static hero image with simulation video
sbryngelson Feb 16, 2026
990dd46
Replace outdated link with new GitHub asset link
sbryngelson Feb 16, 2026
a9d1f86
Clean up whitespace around hero simulation video
sbryngelson Feb 16, 2026
bca3485
Center hero video and add autoplay/loop attributes
sbryngelson Feb 16, 2026
c7b11cb
Update weak scaling docs with combined El Capitan/Frontier/Alps plot
sbryngelson Feb 16, 2026
beab7aa
Fix video centering and add playback controls fallback
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c5965c6
Replace Frontier-only scaling plot and remove dead Discussions badge
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bd19380
Add dark-mode scaling plot with automatic theme switching
sbryngelson Feb 16, 2026
bd75c5f
Use dark-mode scaling plot in docs performance page
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2057798
Clean up README: fix init->new, remove duplicate run instructions
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235 changes: 76 additions & 159 deletions README.md
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Original file line number Diff line number Diff line change
Expand Up @@ -4,207 +4,99 @@
</a>
</p>

<h3 align="center">An exascale many-physics flow solver</h3>

<p align="center">
<a href="https://github.com/MFlowCode/MFC/actions">
<img src="https://img.shields.io/github/actions/workflow/status/mflowcode/mfc/test.yml?style=flat&label=Tests&color=slateblue%09"/>
<img src="https://img.shields.io/github/actions/workflow/status/mflowcode/mfc/test.yml?style=flat&label=Tests&color=slateblue%09" alt="Tests"/>
</a>
<a href="https://github.com/MFlowCode/MFC/blob/master/.github/CONTRIBUTING.md">
<img src="https://img.shields.io/github/contributors-anon/mflowcode/mfc?style=flat&color=darkslategrey%09" />
<img src="https://img.shields.io/github/contributors-anon/mflowcode/mfc?style=flat&color=darkslategrey%09" alt="Contributors"/>
</a>
<a href="https://join.slack.com/t/mflowcode/shared_invite/zt-y75wibvk-g~zztjknjYkK1hFgCuJxVw">
<img src="https://img.shields.io/badge/slack-MFC-purple.svg?logo=slack" />
<img src="https://img.shields.io/badge/slack-MFC-purple.svg?logo=slack" alt="Slack"/>
</a>
<a href="https://lbesson.mit-license.org/">
<img src="https://img.shields.io/badge/License-MIT-crimson.svg" />
<img src="https://img.shields.io/badge/License-MIT-crimson.svg" alt="License"/>
</a>
<a href="https://codecov.io/github/MFlowCode/MFC" target="_blank">
<img src="https://codecov.io/github/MFlowCode/MFC/graph/badge.svg?token=8SY043QND4">
<img src="https://codecov.io/github/MFlowCode/MFC/graph/badge.svg?token=8SY043QND4" alt="Codecov"/>
</a>
<a href="https://github.com/MFlowCode/MFC/blob/master/.github/CONTRIBUTING.md" target="_blank">
<img src="https://img.shields.io/badge/Contributing-Guide-orange?style=flat">
<img src="https://img.shields.io/badge/Contributing-Guide-orange?style=flat" alt="Contributing"/>
</a>
</p>

<p align="center">
<a href="https://mflowcode.github.io/">
<img src="https://img.shields.io/badge/docs-mflowcode.github.io-blue" />
<img src="https://img.shields.io/badge/docs-mflowcode.github.io-blue" alt="Docs"/>
</a>
<a href="https://github.com/MFlowCode/MFC/discussions">
<img src="https://img.shields.io/badge/discussions-join-brightgreen" />
<img src="https://img.shields.io/badge/discussions-join-brightgreen" alt="Discussions"/>
</a>
<a href="https://github.com/codespaces/new?hide_repo_select=true&ref=master&repo=MFlowCode%2FMFC">
<img src="https://img.shields.io/badge/Codespaces-Open-2ea44f?logo=github" />
<img src="https://img.shields.io/badge/Codespaces-Open-2ea44f?logo=github" alt="Codespaces"/>
</a>
<a href="https://hub.docker.com/r/sbryngelson/mfc">
<img src="https://img.shields.io/badge/dockerhub-images-important.svg?logo=Docker&style=flat" />
</a>

<img src="https://img.shields.io/badge/dockerhub-images-important.svg?logo=Docker&style=flat" alt="DockerHub"/>
</a>
<a href="https://github.com/MFlowCode/homebrew-mfc">
<img src="https://img.shields.io/badge/homebrew-mflowcode%2Fmfc%2Fmfc-brown?logo=homebrew&style=flat" />
</a>
<img src="https://img.shields.io/badge/homebrew-mflowcode%2Fmfc%2Fmfc-brown?logo=homebrew&style=flat" alt="Homebrew"/>
</a>
</p>

> **2025 Gordon Bell Prize Finalist** - MFC simulates compressible multi-phase flows at exascale, using [Fypp](https://fypp.readthedocs.io/en/stable/fypp.html) metaprogramming in ~40K lines of Fortran. It conducted the [largest known public CFD simulation](https://arxiv.org/abs/2505.07392) at **200 trillion grid points** and 1 quadrillion degrees of freedom, scaling ideally to >43K AMD APUs on [El Capitan](https://hpc.llnl.gov/hardware/compute-platforms/el-capitan) and >33K AMD GPUs on [Frontier](https://www.olcf.ornl.gov/frontier/).

<p align="center">
<a href="https://star-history.com/#MFlowCode/MFC&Date">
<picture>
<source media="(prefers-color-scheme: dark)" srcset="https://api.star-history.com/svg?repos=MFlowCode/MFC&type=Date&theme=dark" />
<source media="(prefers-color-scheme: light)" srcset="https://api.star-history.com/svg?repos=MFlowCode/MFC&type=Date" />
<img src="https://api.star-history.com/svg?repos=MFlowCode/MFC&type=Date&theme=dark" alt="Star History Chart" width="600"/>
</picture>
</a>
<img src="docs/res/shockdrop.png" alt="Shock-droplet interaction simulated with MFC" width="700"/>
</p>

> **If MFC helps your work, please ⭐ the repo and cite it!**
## Why MFC?

### Who uses MFC
- **Exascale GPU performance** - Ideal weak scaling to 43K+ GPUs. Near compute-roofline behavior. [Compile-time case optimization](https://mflowcode.github.io/documentation/running.html) for up to 10x speedup.
- **Compact codebase** - ~40K lines of Fortran with [Fypp](https://fypp.readthedocs.io/en/stable/fypp.html) metaprogramming. Small enough to read and modify; powerful enough for [Gordon Bell](https://awards.acm.org/bell).
- **Native multi-phase** - 4, 5, and 6-equation models, phase change, surface tension, bubble dynamics, and Euler-Lagrange particle tracking, all built in.
- **Portable** - NVIDIA and AMD GPUs, CPUs, laptops to exascale. Docker, Codespaces, Homebrew, and [16+ HPC system templates](https://mflowcode.github.io/documentation/running.html).
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- **Tested** - 500+ regression tests per PR with line-level [coverage](https://app.codecov.io/gh/MFlowCode/MFC) across GNU, Intel, Cray, and NVIDIA compilers.
- **Truly open** - MIT license, active [Slack](https://join.slack.com/t/mflowcode/shared_invite/zt-y75wibvk-g~zztjknjYkK1hFgCuJxVw), and responsive development team.

MFC runs at exascale on the world's fastest supercomputers:
- **OLCF Frontier** (>33K AMD MI250X GPUs)
- **LLNL El Capitan** (>43K AMD MI300A APUs)
- **LLNL Tuolumne**, **CSCS Alps**, and many others
> If MFC is useful to your work, please ⭐ star the repo and [cite it](#citation)!

### Try MFC
## Try MFC

| Path | Command |
| --- | --- |
| **Codespaces** (fastest) 💨 | Click the "Codespaces" badge above to launch in 1 click |
| **Codespaces** (fastest) 💨 | [Open a Codespace](https://github.com/codespaces/new?hide_repo_select=true&ref=master&repo=MFlowCode%2FMFC) - pre-built, zero install |
| **Docker** 🐳 | `docker run -it --rm --entrypoint bash sbryngelson/mfc:latest-cpu` |
| **Homebrew** (macOS) 🍺 | `brew install mflowcode/mfc/mfc && mfc $(brew --prefix mfc)/examples/1D_sodshocktube/case.py -n 2` |
| **Local build** 💻 | `./mfc.sh build -j $(nproc) && ./mfc.sh test -j $(nproc)` |

**Welcome!**
MFC simulates compressible multi-phase flows, [among other things](#what-else-can-this-thing-do).
It uses metaprogramming and is short (~40K lines of Fortran) and portable.
MFC conducted the largest known CFD simulation at <a href="https://arxiv.org/abs/2505.07392" target="_blank">200 trillion grid points</a>, and 1 quadrillion degrees of freedom (as of September 2025).
MFC is a 2025 Gordon Bell Prize Finalist.
| **Homebrew** (macOS) 🍺 | `brew install mflowcode/mfc/mfc` |
| **From source** 💻 | `git clone https://github.com/MFlowCode/MFC && cd MFC && ./mfc.sh build -j $(nproc)` |
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<p align="center">
<a href="https://doi.org/10.1016/j.cpc.2026.110055" target="_blank">
<img src="https://img.shields.io/badge/DOI-10.1016/j.cpc.2026.110055-thistle.svg"/>
</a>
<a href="https://doi.org/10.5281/zenodo.17049757" target="_blank">
<img src="https://zenodo.org/badge/DOI/10.5281/zenodo.17049757.svg"/>
</a>
<a href="https://github.com/MFlowCode/MFC/stargazers" target="_blank">
<img src="https://img.shields.io/github/stars/MFlowCode/MFC?style=flat&color=maroon"/>
</a>

</br>
Is MFC useful for you? Consider citing it or giving a star!
</p>

```bibtex
@article{wilfong26,
Author = {Benjamin Wilfong and Henry {Le Berre} and Anand Radhakrishnan and Ansh Gupta and Daniel J. Vickers and Diego Vaca-Revelo and Dimitrios Adam and Haocheng Yu and Hyeoksu Lee and Jose Rodolfo Chreim and Mirelys {Carcana Barbosa} and Yanjun Zhang and Esteban Cisneros-Garibay and Aswin Gnanaskandan and Mauro {Rodriguez Jr.} and Reuben D. Budiardja and Stephen Abbott and Tim Colonius and Spencer H. Bryngelson},
Title = {{MFC 5.0: A}n exascale many-physics flow solver},
journal = {Computer Physics Communications},
year = {2026},
volume = {322},
pages = {110055},
doi = {10.1016/j.cpc.2026.110055},
}
Your first simulation:
```bash
./mfc.sh run examples/3D_shockdroplet/case.py -n $(nproc)
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```
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Visualize the output in `examples/3D_shockdroplet/silo_hdf5/` with ParaView, VisIt, or your favorite tool.
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For detailed build instructions (Linux, macOS, Windows/WSL, HPC clusters), see the [Getting Started guide](https://mflowcode.github.io/documentation/getting-started.html).
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MFC is used on the latest leadership-class supercomputers.
It scales <b>ideally to exascale</b>; [tens of thousands of GPUs on NVIDIA- and AMD-GPU machines](#is-this-really-exascale) on Oak Ridge Frontier, LLNL El Capitan, CSCS Alps, among others.
MFC is a SPEChpc benchmark candidate, part of the JSC JUPITER Early Access Program, and used OLCF Frontier and LLNL El Capitan early access systems.

Get in touch with <a href="mailto:shb@gatech.edu">Spencer</a> if you have questions!
We have an [active Slack channel](https://join.slack.com/t/mflowcode/shared_invite/zt-y75wibvk-g~zztjknjYkK1hFgCuJxVw) and development team.
MFC has high- and low-level documentation, visualizations, and more on [its website](https://mflowcode.github.io/).

## An example
## Examples

We keep many examples.
Here are some of them!
MFC can execute high-fidelity simulations of shock-droplet interaction (see `examples/3d_shockdroplet`)
MFC ships with [137+ example cases](https://mflowcode.github.io/documentation/examples.html).
Here is a high-Mach flow over an airfoil (see [`examples/2D_ibm_airfoil/`](examples/2D_ibm_airfoil/)):

<p align="center">
<img src="docs/res/shockdrop.png" alt="Shock Droplet Example" width="700"/>
<img src="docs/res/airfoil.png" alt="High-Mach airfoil flow" width="700"/><br/>
</p>

This one simulates high-Mach flow over an airfoil:
And a high-amplitude acoustic wave reflecting and emerging through a circular orifice:

<p align="center">
<img src="docs/res/airfoil.png" alt="Airfoil Example" width="700"/><br/>
<img src="docs/res/orifice.png" alt="Acoustic wave through orifice" width="700"/><br/>

@qodo-code-review qodo-code-review Bot Feb 16, 2026

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Suggestion: Add the loading="lazy" attribute to the <img> tag to defer loading of the offscreen image and improve initial page load performance. [general, importance: 3]

Suggested change
<img src="docs/res/orifice.png" alt="Acoustic wave through orifice" width="700"/><br/>
<img src="docs/res/orifice.png" alt="Acoustic wave through orifice" width="700" loading="lazy"/><br/>

</p>

And here is a high-amplitude acoustic wave reflecting and emerging through a circular orifice:

<p align="center">
<img src="docs/res/orifice.png" alt="Orifice Example" width="700"/><br/>
</p>


## Getting started

You can navigate [to this webpage](https://mflowcode.github.io/documentation/md_getting-started.html) to get you get started using MFC on your local machine, cluster, or supercomputer!
It's rather straightforward.
Some examples are below.

### Codespaces and Containers

<a href="https://github.com/codespaces/new?hide_repo_select=true&ref=master&repo=MFlowCode%2FMFC">
<img src="https://img.shields.io/badge/Codespaces-Open%20in%201%20click-2ea44f?logo=github" />
</a>

For a _very_ quick start, open a GitHub Codespace to load a pre-configured Docker container and familiarize yourself with MFC commands.
Click <kbd> <> Code</kbd> (green button at top right) → <kbd>Codespaces</kbd> (right tab) → <kbd>+</kbd> (create a codespace).

Alternatively, run MFC directly with Docker on your local machine:
```bash
docker run -it --rm --entrypoint bash sbryngelson/mfc:latest-cpu
```
Once inside the container, navigate to `/opt/MFC` to access MFC and run examples.

> ****Note:**** Codespaces is a free service with a monthly quota of compute time and storage usage.
> It is recommended for testing commands, troubleshooting, and running simple case files without installing dependencies or building MFC on your device.
> Don't conduct any critical work here!
> To learn more, please see [how Docker & Containers work](https://mflowcode.github.io/documentation/md_docker.html).

### macOS quick start (Homebrew)

<a href="https://github.com/MFlowCode/homebrew-mfc">
<img src="https://img.shields.io/badge/homebrew-mflowcode%2Fmfc%2Fmfc-brown?logo=homebrew&style=flat" />
</a>

Install the prebuilt package and run an example:

```bash
brew install mflowcode/mfc/mfc
mkdir -p ~/mfc_quickstart && cd ~/mfc_quickstart
cp $(brew --prefix mfc)/examples/1D_sodshocktube/case.py .
mfc case.py -n 2
```

Use `-n X` to select the number of MPI processes. For developer commands (`build`, `test`, etc.), clone the repo and use `./mfc.sh`.

### macOS from source

We'll give a brief introduction for building from source on MacOS below.
Using [brew](https://brew.sh), install MFC's dependencies:
```shell
brew install coreutils python cmake fftw hdf5 gcc boost open-mpi lapack
```
You're now ready to build and test MFC!
Put it to a local directory via
```shell
git clone https://github.com/MFlowCode/MFC
cd MFC
```
and be sure MFC knows where to find Boost by appending to your dotfiles and sourcing them again
```shell
echo -e "export BOOST_INCLUDE='$(brew --prefix --installed boost)/include'" | tee -a ~/.bash_profile ~/.zshrc
. ~/.bash_profile 2>/dev/null || . ~/.zshrc 2>/dev/null
! [ -z "${BOOST_INCLUDE+x}" ] && echo 'Environment is ready!' || echo 'Error: $BOOST_INCLUDE is unset. Please adjust the previous commands to fit with your environment.'
```
then you can build MFC and run the test suite!
```shell
./mfc.sh build -j $(nproc)
./mfc.sh test -j $(nproc)
```
And... you're done!

## Toolchain

| Command | Description |
Expand All @@ -217,20 +109,21 @@ And... you're done!
| `./mfc.sh clean` | Remove build artifacts |
| `./mfc.sh interactive` | Launch interactive menu-driven interface |

Run `./mfc.sh <command> --help` for detailed options, or see the [full documentation](https://mflowcode.github.io/documentation/index.html). Tab completion for bash and zsh is auto-installed after you have run `./mfc.sh generate` (or any non-`init` command) at least once. Play with the examples in `examples/` ([showcased here](https://mflowcode.github.io/documentation/md_examples.html)).
Run `./mfc.sh <command> --help` for detailed options, or see the [full documentation](https://mflowcode.github.io/documentation/index.html). Tab completion for bash and zsh is auto-installed after you have run `./mfc.sh generate` (or any non-`init` command) at least once. Play with the examples in `examples/` ([showcased here](https://mflowcode.github.io/documentation/examples.html)).

The shock-droplet interaction case above was run via
```shell
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./mfc.sh run -n $(nproc) ./examples/3d_shockdroplet/case.py
./mfc.sh run -n $(nproc) ./examples/3D_shockdroplet/case.py
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```
where `$(nproc)` is the number of cores the example will run on (and the number of physical cores on your CPU device).
You can visualize the output data in `examples/3d_shockdroplet/silo_hdf5` via Paraview, Visit, or your favorite software.
You can visualize the output data in `examples/3D_shockdroplet/silo_hdf5` via Paraview, Visit, or your favorite software.
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## Is this _really_ exascale?

[OLCF Frontier](https://www.olcf.ornl.gov/frontier/) is the first exascale supercomputer.
The weak scaling of MFC on this machine shows near-ideal utilization.
We also scale ideally to >98% of LLNL El Capitan.
MFC is a SPEChpc benchmark candidate, part of the JSC JUPITER Early Access Program, and used OLCF Frontier and LLNL El Capitan early access systems.

<p align="center">
<img src="docs/res/scaling.png" alt="Scaling" width="400"/>
Expand All @@ -246,10 +139,10 @@ We also scale ideally to >98% of LLNL El Capitan.
* Multi- and single-component
* 4, 5, and 6 equation models for multi-component/phase features
* Kapila and Allaire models 5-equation models
* Multi- and single-phase
* Multi- and single-phase
* Phase change via p, pT, and pTg schemes
* Grids
* 1-3D Cartesian, cylindrical, axisymmetric.
* 1-3D Cartesian, cylindrical, axisymmetric.
* Arbitrary grid stretching for multiple domain regions.
* Complex/arbitrary geometries via immersed boundary method
* STL geometry files supported
Expand Down Expand Up @@ -293,10 +186,10 @@ We also scale ideally to >98% of LLNL El Capitan.

* GPU compatible on NVIDIA ([P/V/A/H]100, GH200, etc.) and AMD (MI[1/2/3]00+) GPU and APU hardware
* Ideal weak scaling to 100% of the largest GPU and superchip supercomputers
* \>43K AMD APUs (MI300A) on [LLNL El Capitan](https://hpc.llnl.gov/hardware/compute-platforms/el-capitan)
* \>3K AMD APUs (MI300A) on [LLNL Tuolumne](https://hpc.llnl.gov/hardware/compute-platforms/tuolumne)
* \>33K AMD GPUs (MI250X) on [OLCF Frontier](https://www.olcf.ornl.gov/frontier/)
* \>10K NVIDIA GPUs (V100) on [OLCF Summit](https://www.olcf.ornl.gov/summit/)
* \>43K AMD APUs (MI300A) on [LLNL El Capitan](https://hpc.llnl.gov/hardware/compute-platforms/el-capitan)
* \>3K AMD APUs (MI300A) on [LLNL Tuolumne](https://hpc.llnl.gov/hardware/compute-platforms/tuolumne)
* \>33K AMD GPUs (MI250X) on [OLCF Frontier](https://www.olcf.ornl.gov/frontier/)
* \>10K NVIDIA GPUs (V100) on [OLCF Summit](https://www.olcf.ornl.gov/summit/)
* Near compute roofline behavior
* Compile-time case optimization (hard-codes parameters for significant speedup)
* RDMA (remote data memory access; GPU-GPU direct communication) via GPU-aware MPI on NVIDIA (CUDA-aware MPI) and AMD GPU systems
Expand All @@ -320,6 +213,18 @@ Ref. 1 includes all modern MFC features, including GPU acceleration and many new
If referencing MFC's (GPU) performance, consider citing ref. 1 and 2, which describe the solver and its design.
The original open-source release of MFC is ref. 3, which should be cited for provenance as appropriate.

<p align="center">
<a href="https://doi.org/10.1016/j.cpc.2026.110055" target="_blank">
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<img src="https://img.shields.io/badge/DOI-10.1016/j.cpc.2026.110055-thistle.svg" alt="DOI 10.1016/j.cpc.2026.110055"/>
</a>
<a href="https://doi.org/10.5281/zenodo.17049757" target="_blank">
<img src="https://zenodo.org/badge/DOI/10.5281/zenodo.17049757.svg" alt="Zenodo DOI"/>
</a>
<a href="https://github.com/MFlowCode/MFC/stargazers" target="_blank">
<img src="https://img.shields.io/github/stars/MFlowCode/MFC?style=flat&color=maroon" alt="GitHub stars"/>
</a>
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</p>

```bibtex
@article{wilfong26,
Author = {Benjamin Wilfong and Henry {Le Berre} and Anand Radhakrishnan and Ansh Gupta and Daniel J. Vickers and Diego Vaca-Revelo and Dimitrios Adam and Haocheng Yu and Hyeoksu Lee and Jose Rodolfo Chreim and Mirelys {Carcana Barbosa} and Yanjun Zhang and Esteban Cisneros-Garibay and Aswin Gnanaskandan and Mauro {Rodriguez Jr.} and Reuben D. Budiardja and Stephen Abbott and Tim Colonius and Spencer H. Bryngelson},
Expand Down Expand Up @@ -353,7 +258,7 @@ The original open-source release of MFC is ref. 3, which should be cited for pro
```

## License

Copyright 2021 Spencer Bryngelson and Tim Colonius.
MFC is under the MIT license (see [LICENSE](LICENSE) for full text).

Expand All @@ -367,3 +272,15 @@ MFC computations have used many supercomputing systems. A partial list is below
* 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.
* DOD systems Blueback, Onyx, Carpenter, Nautilus, and Narwhal via the DOD HPCMP program.
* Sandia National Labs systems Doom and Attaway, and testbed systems Weaver and Vortex.

---

<p align="center">
<a href="https://star-history.com/#MFlowCode/MFC&Date">
<picture>
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