%0 Generic
%A Richter, Thomas
%D 2005
%F heidok:5743
%K parallel , multigrid , reactive flows , adaptive finite elements
%R 10.11588/heidok.00005743
%T Parallel Multigrid Method for Adaptive Finite Elements with Application to 3D Flow Problems
%U https://archiv.ub.uni-heidelberg.de/volltextserver/5743/
%X   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.