CFD 2 - Course

Location: Delft University of Technology

Coordinator:
Kees Vuik (TUD) 

Lecturers:
Kees Vuik (TUD), Fred Vermolen (Hasselt University, B) 

This lecture course focuses on (i) finite element methods for the incompressible Navier-Stokes equations and on (ii) iterative solution methods. The course consists of two parts: 

1. A short introduction to the finite element method is given. The following fluid flow applications are used: Poisson equation, convection-diffusion equation and the incompressible Navier-Stokes equations. Subjects studied in more detail are: (streamline) upwind methods, problems originating from the incompressibility condition, and the linearisation of convective terms in the Navier-Stokes equations. Some remarks are given on time-dependent problems. 
2. The second part of the course is devoted to modern iterative methods. Furthermore, the following related topics are considered: 

• direct and iterative methods for (sparse) linear systems; 
• iterative methods to compute eigenvalues of matrices; 
• implementation of these methods on vector- and parallel computers. 

As applications systems are used which originate from fluid flow problems. To illustrate the theory, practical work is done in the afternoons using MATLAB and the finite element package SEPRAN. Required background: a basic course in numerical analysis, partial differential equations and linear algebra. 

For more information, contact:
Kees Vuik | 015 278 5530 | c.vuik@tudelft.nl