# Numerical Fluid Mechanics

### Wintersemester, 2012/2013

### V. Springel and C.P. Dullemond

## Topics:

This lecture will partly follow the topics of previous lectures in this series (see 2011 version). But we will also likely make changes! Once the topics are set, we will list them here.

## Organisation:

The lecture takes place Mondays 14:15-16:00 in the ARI Seminar room.
The exercises take place **Mondays** 16:15-18:00 also in the ARI seminar room
**(Note: it was erroneously written Wednesdays here, it is Mondays!!)**.
**Please bring your own laptops!** The lecture + exercises are worth 4 Credit Points.
There will be a short oral or written examination at the end, but active and
succesful participation in the exercises are also a prerequisite for
obtaining the credit points.

As of now there is a
Moodle (password = advect) for this course. **Those of you who
wish to acquire credit points for this lecture and/or participate
in the exercises: Please register to the Moodle**.

## On-line chapters:

- Introduction
- Chapter 1: Equations of fluid dynamics (improved version, with more worked-out thermodynamic equations). Note: During the lecture it became apparent that in the original form of the script the thermodynamic derivations were a bit confusing; this is now (hopefully) fixed in this improved version of Chapter_1.pdf (called Chapter_1_improved.pdf). If you downloaded this chapter before 15. October 2012, 17:20, you might want to download this improved version.
- Chapter 2: Hyperbolic systems of equations (improved section 2.2) (small error in Jacobian Eq. 2.77, 2.78).
- Chapter 3: Advection algorithms I. The basics.
- Chapter 4: Advection algorithms II. Non-linear schemes.
- Chapter 5: Classical hydrodynamics solvers.
- Chapter 6: Riemann Solvers I.
- Chapter 7: Riemann Solvers II.

## Exercises:

## Literature:

The 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"
- Toro, E.F. "Riemann Solvers and Numerical Methods for Fluid Dynamics" (Springer Verlag)
- 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"
- Felippa, Carlos A., "Introduction to Finite Element Methods", http://www.colorado.edu/engineering/CAS/courses.d/IFEM.d/