We will study numerical methods for the calculation of fluid flows. We will cover numerical integration schemes and spatial discretization methods for the incompressible Navier-Stokes equations. We will consider projection methods that decouple the calculation of pressure and velocity fields and multigrid methods for the calculation of the pressure. We will then study the implementation of complex boundary conditions through the immersed boundary method. The course will be completed by an introduction to high-performance computing of fluid flows in parallel computer architectures.

If you’re interested in learning how to use CFD software packages such as OpenFOAM, FLUENT, COMSOL, etc this is not the course you are looking for.