Finite Differences Navier-Stokes Solver

This project implements a solver based on finite differences for the Navier-Stokes equations. The solver can be used both on a default cubic domain as well as on an input original mesh which exploits the Brinkmann penalization method.

Requirements

To compile and run the project, make sure you have the following tools and libraries installed and configured:

• Compiler: GCC with C++20 support
• Libraries:
  • PETSc
  • VTK
  • Eigen

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Installation

1. Load the required modules:
   Before compiling or running the program, load the necessary modules. Ensure that your environment is correctly set up by running:

   source /u/sw/etc/bash.bashrc
   module load gcc-glibc
   module load eigen
   module load vtk
   module load petsc
   

2. Compile the project: After loading the modules, compile the project by running:

   make 
   

3. Usage To run the solver, execute the following command:

   ./bin/main 

   For the Brinkmann solver the name of the .stl has to be indicated. An Example one is given, to run the solver on the example mesh execute the following command:

   ./bin/main caroitd.stl

   The program will compute the solution and store the results in the results directory