2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/85138This project work report provides a full solution of simplified Navier Stokes equations for The Incompressible Couette Problem. The well known analytical solution to the problem of incompressible couette is compared with a numerical solution. In that paper, I will provide a full solution with simple C code instead of MatLab or Fortran codes, which are known. For discrete problem formulation, implicit Crank-Nicolson method was used. Finally, the system of equation (tridiagonal) is solved with both Thomas and simple Gauss Method. Results of both methods are compared.15 pages, 5 figures, c source code inside of the reportComputational PhysicsFluid Dynamicstext