Numerical methods and applications
University of Heidelberg
Summer Semester, 2007
C.P. Dullemond and A. Johansen
|Movie: hydrodynamic simulation of a supersonic jet-stream
injected into a homogeneous medium. The computation is done on a
100x100 grid using Roe's algorithm.|
- Lecture is now finished. No lectures anymore. But a
(very similar, but not identical to this one) will be given in the
summer semester 2008.
About the lecture
This was a lecture that I gave in the spring of 2007 at the University
of Heidelberg. I decided to keep the lecture material on the web (that
is, chapters 1 to 8; I am unsatisfied with chapter 9, so I leave it
out for now), because it might be of interest to others as
well. However, this lecture material is still rough and needs to be
polished and may still contain errors (this is highly likely).
I hope to be able to give this lecture a few more times, so that the
text below will also be more polished over the years. For now
please enjoy this material with some caution. Also I am very
open to criticism and comments.
The above lecture notes are for significant parts inspired by the following books:
- Randall J. LeVeque, "Finite Volume Methods for Hyperbolic Problems"
- Bodenheimer, Laughlin, Rozyczka and Yorke, "Numerical Methods in
Astrophysics: An Introduction"
- Collela and Puckett, "Modern Numerical Methods for Fluid Flow"
- H. W. Liepmann and A. Roshko, "Elements of Gas Dynamics"
- Ferziger, J. H. and Peric, M, "Computational Methods for Fluid Dynamics"
I am happy to answer any questions:
Dr. C. P. Dullemond
Max-Planck-Institut fuer Astronomie