Lecture on:

Hydrodynamics II:

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 new lecture (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.

On-line material:

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
Koenigstuhl 17
69117 Heidelberg
Tel: 06221-528-395
Email: dullemon@mpia.de