Teaching

Vorlesung Diskontinuierliche Galerkin Verfahren zur Lösung Partieller Differentialgleichungen (Lehrstuhlvertretung Universität Bochum)

DUNE Workshop in Heidelberg

DUNE Workshop in Novosibirsk

Fields of Interest

Generic software development for grid based methods for solving partial differential equations:

• parallel, adaptive grid interface (dune-grid module)
• discretization interface for higher order methods (dune-fem module)
• generic implementation of base function sets (dune-localfunctions module)

Numerical methods for systems of conservation laws:

• higher order local timestepping schemes
• Discontinuous Galerkin schemes
• parallelisation
• local grid adaption

Magnetohydrodynamics:

• real gas Riemann solvers (energy relaxation method)
• divergence cleaning (GLM method)

Radiation Hydrodynamics:

• numerical schemes (ESC method)
• convergence analysis

Geophysical flow:

• transparent boundary conditions
• balancing flux gradients and source terms
• atmospheric and free surface water flow

Software projects

DUNE - Distributed and Unified Numerics Environment

List of Publications

Projects

Project on flow through a two stroke engigne with reduced chemistry. Together with Stiehl and founded by the Landesstiftung Baden-Würtenberg (2010-2013).
Project on coupled surface and ground water flow with applications in water resource management. This project is funded by the BMBF (2007-2010), For more information: click here.
Project on atmospheric flow problems for weather forecast simulation. This project is in cooperation with the DWD in Offenbach and funded as part of the MetStroem DFG-priority research program. For more information: click here. (started Sept. 2007, one position).
Project on model adaptivity in the numerical simulation of geophysical flows funded by the Landesstiftung Baden-Würtenberg (2006-2008, own funding).
Project in the DFG-priority research program Analysis und Numerik von Erhaltungsgleichungen. (1998-2004, as phd student):
The aim was to develop numerical methods for 3d simulations in the solar photosphere and convection zone. In this project I worked together with Christian Rohde and Matthias Wesenberg This project was a joint venture with the group of M. Schüssler at the Max-Planck-Institut für Aeronomie. For more information: click here.

Some links

Fakultät für Mathematik und Physik
a lot of information and pictures of the sun