Computational Fluid Dynamics II

Computational Fluid Dynamics II
            (a PhD course from the J.M. Burgers Center)

Location    : Building 36, Mekelweg 4, 2628 CD Delft
Date        : January 30 - February 3, 2023
URL         : http://homepage.tudelft.nl/d2b4e/burgers/burg.html
Registration: https://jmburgerscentrum.nl/contact-registration/registration/registration-phd-courses/

Teachers: Prof.dr.ir. F.J. Vermolen, Prof.dr.ir. C. Vuik

Subjects: Finite element methods for the incompressible Navier-Stokes equations and iterative solution methods.

1. Finite element methods for the incompressible Navier-Stokes equations

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 (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. Iterative solution methods.

The solution of systems of linear equations. The main 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.

Preliminaries:

A basic course in numerical analysis, partial differential equations and linear algebra.

Further information (registration, costs etc):
Ilse Hoekstein
Mekelweg 2
2628 CD DELFT
Tel: 015-2787644
e-mail: jmburgerscentrum@tudelft.nl
URL: https://jmburgerscentrum.nl/contact-registration/registration/registration-phd-courses/

Further information (contents of the course):
Prof.dr.ir. C. Vuik
Mekelweg 4, room 3.320 Building 36 2628CD Delft
Tel: 015-2785530
e-mail: c.vuik@tudelft.nl