Parallel Multigrid Method for Adaptive Finite Elements with Application to 3D Flow Problems

Aim of this work is the examination of numerical methods for the solution of large systems of PDE's. The equations under consideration arise from chemically reacting flows. A focal point is the analysis of a finite element discretization with stabilized finite elements of degree two. Aspects of error estimation, solution techniques and mesh adaptivity are discussed with regard to the Navier-Stokes equations. Using a well established Navier-Stokes benchmark flow the discussed methods are verified. To cope with the huge systems arising from reactive flow problems a parallel multigrid method on locally refined meshes is presented. Finally, we will perform a simulation of a methane burner in a complex three dimensional geometry. We will use a detailed reaction mechanism with 39 chemical species.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Universität Heidelberg

Year

2005

Author dc:creator

• Richter, Thomas

Contributors dc:contributor

• Rannacher, Rolf

Repository record source_url

http://www.ub.uni-heidelberg.de/archiv/5743

OAI identifier oai:identifier

oai:archiv.ub.uni-heidelberg.de:5743