**Background of the Course:**

The numerical simulation of physical processes in engeneering has gained importance since computer performance is permitting to predict real life situations. It is a common tool now in manufacturing cars and airplanes, in chemical and electrical engeneering. In science it is about to displace numerous expensive experiments. Furthermore, numerical simulation is able to provide information on scenarios which are inaccessible to measurement due to technical obstacles, e.g. pressure and temperature distributions in explosions.

Common examples of numerical simulations are fluid flow phenomena as the flow around an airfoil or the calculation of the drag of a car at a certain speed, combustion processes in power plants, melting processes, cristall growth in semi-conductor technology, and modelling of the earth's climate.

The application of high performance computers and networks of workstations in combination with efficient numerical algorithms gives way to a realistic three dimensional simulation of complex time dependent processes. The amount of data generated needs to be interpreted by interactive graphical tools in order to reveal the information.

The practical's objective is to provide the students with first experiences in the following fields:

- Numerical Solutions of Partial Differential Equation
- Parallelization of algorithms on workstations
- Visualization of the results

* mehl@in.tum.de*,
* Mehl, 11.01.2006
*