Dr. habil Sebastian Noelle
Institut für Angewandte Mathematik, Rheinisch Friedrich-Wilhelms-Universität Bonn
Multi-dimensional transport algorithms for compressible fluid flows
Abstract: Compressible fluid flows are modelled by hyperbolic systems of conservation laws. Solutions to these nonlinear systems develop shock-discontinuities in finite time. In one space dimension, the Riemann-initial-value problem with piecewise constant data is a key buildingblock both of the analytical theory and the most successful numerical algorithms. The multi-dimensional Riemann-problem is not well understood analytically, and numerical approximations indicate enormously complex solutions. In the lecture we briefly review some of the algorithmic approaches for multi-dimensional systems, and difficulties which they encounter. Then we discuss recent work on the multi-dimensional transport algorithm of M. Fey. We derive wave models from gas-kinetic theory, introduce a new transport algorithm for the resulting waves, prove its consistency and show numerical experiments for shallow-water and gasdynamical flows.
| Zeit: | Freitag, 04. Februar 2000, 14.15 Uhr |
| Ort: | FU Berlin, Arnimallee 2-6, Raum 032 im EG |