Computational Fluid Dynamics

Part I:

• Numerical methods for the convection-diffusion equation;

• Stability, consistency and convergence of the numerical methods;

• Extensions to incompressible Navier-Stokes equations;

Part II:

• Basic iterative solvers and preconditioners for the Poisson problem;

• Schwarz domain decomposition preconditioners for the Poisson problem:

• Extension of Schwarz preconditioners to saddle point problems (Stokes and Navier-Stokes equations)