TFNSFPE

Numerical solution of the time-fractional Navier--Stokes--Fokker--Planck equation based on the MFEM library.

Related references

Beddrich, Jonas, Endre Süli, and Barbara Wohlmuth. "Numerical simulation of the time-fractional Fokker–Planck equation and applications to polymeric fluids." Journal of Computational Physics 497 (2024): 112598.

[https://doi.org/10.1016/j.jcp.2023.112598]

Project dependencies

Core dependencies are:

CMake (3.19 or above)
MFEM (4.5 or above)
Hypre (necessary for MFEM)
Metis (necessary for MFEM)

Build instructions

Clone the repository

https://github.com/JonasBeddrich/TFNSFPE.git

Create a build directory
```
mkdir build && cd build
```
Run CMake and point it to the source directory
```
cmake ..
```
Build the project
```
make 
```

Usage

Experiments from Beddrich et al. 2024 and further can be chosen in the setting.h file.

Run the executable (in build directory)

./PSI

Authors and acknowledgment

[Jonas Beddrich]
[Endre Süli]
[Barbara Wohlmuth]

Developers

Jonas Beddrich

License

Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the “Software”), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.