Numerical approximation of Statistical Solutions of incompressible Navier-Stokes Equations

This repository consists of divergence-free H(div) numerical solvers for the incompressible Navier-Stokes Equations and Stokes equations. The code is written in C++ and it has both serial and MPI-parallelized versions of the numerical solvers.

Dependencies

1. MFEM-4.1, you can read more info and download. Add the code snippets given in the folder "add_to_mfem_lib" to the respective files in the MFEM source code. Follow the instructions for the parallel-build of MFEM. This library further depends on many libraries, of which only the following are needed:

   1. Hypre, version - 2.10.0b
   2. PARMETIS, version - 4.0.3
   3. BLAS, LAPACK

2. Eigen library, info, download version - 3.3.7.

3. For writing the config files JSON, download version - 3.7.0

4. The formatting library fmt.

5. Unit testing with GoogleTest framework.