# NuSiF-Solver

This is a broad collection of C implementations of Navier-Stokes Fluid simulator as
described in [this
book](https://epubs.siam.org/doi/book/10.1137/1.9780898719703) by Michael
Griebel et al.

## Build

Every variant comes with a makefile. First configure the toolchain by editing
the variabel `TAG` in `config.mk`. For the Intel tool chain set it to `ICC`, for
LLVM clang using Open MPI set it to `CLANG`. If required adapt the respective
flags and include and library paths in `include_[CLANG|ICC].mk`.

You can uncomment the `-DVERBOSE` line for additional dignostic output.

Build the code with:
```
$ make
```

Clean intermediate build products with:
```
$ make clean
```

Clean all build products with:
```
$ make distclean
```

The makefile provides the additional build targets:
* `$ make info`: Output CFLAGS and the compiler version for documentation
purposes.
* `$ make tags`: Run `ctags -R`.
* `$ make format`: Run `clang-format` on all source files.

## Run

All examples come with two test cases:
* dcavity: Lid driven cavity.
* canal: Channel flow with inflow on one side.

To start a simulation for sequential implementations execute (here for CLANG toolchain):
```
$ ./exe-CLANG dcavity.par|canal.par
```

To start a simulation for parallel implementations execute (here for CLANG toolchain):
```
$ mpirun -np <NUMPROC> ./exe-CLANG dcavity.par|canal.par
```

## Configuration options 

Important option in the test case parameter files:
* `re`: Desired reynolds number. Higher for a less viscous fluid and lower for a
more viscous fluid.
* `imax`, `jmax`, `kmax`: The resolution of the grid. Increase resolution for
higher Reynolds numbers.
* `te`: The final simulation time.
* `itermax`: The number of maximum iterations performed in every Poisson
pressure equation step.
* `eps`: Stopping tolerance for the pressure equation solver.
* `omg`: Relaxation parameter for SOR solver. Default is 1.7 to 1.9. For MPI
parallel runs omega needs to be reduced to 1.3 to guarantee convergence.

The other parameters should not be changed.