After the retirement of its initiator prof.dr.ir. P. Wesseling (TU Delft),
since 2008 the course is presented by
dr.ir. M.I. Gerritsma (TU Delft),
prof.dr. B. Koren (CWI and TU Delft) and
prof.dr. A.E.P. Veldman
(University of Groningen).
The course is organized as a series of lectures and computer exercises.
Contents
The course CFD I discusses the basic methods for solving the equations that
describe the motion of fluids. Several discretization approaches will be
presented: finite-difference, finite-volume, least-squares finite elements.
The basic model problem is the convection-diffusion equation with
dominating convection. A number of spatial discretization methods (non-uniform
grids) will be discussed with their pros and cons (upwind/central, lower/higher
order, etc.). Also the stability and accuracy of time-integration methods is
shortly discussed.
A next step is to study discontinuous solutions of the Euler equations,
with focus on the numerical Riemann problem. Several numerical schemes
for calculating shocks and contact-discontinuities will be presented;
the concept of non-linear limiters is introduced. The theory is illustrated by
calculations of complex shock patterns (e.g. through bubbles).
Also, the incompressible Navier-Stokes equations are discussed.
The positioning of the computational grid is assessed (staggered grids),
as well as the treatment of boundary conditions. Emphasis is on the
role of the pressure. An application is the direct numerical simulation of
turbulent flow.
Course material
Below are the lecture notes and exercises of the course (partly from 2008, partly from 2012).