title: Parallel Multigrid Method for Adaptive Finite Elements with Application to 3D Flow Problems
creator: Richter, Thomas
subject: ddc-510
subject: 510 Mathematics
description:   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.
date: 2005
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/5743/1/phd_14.07.2005.pdf
identifier: DOI:10.11588/heidok.00005743
identifier: urn:nbn:de:bsz:16-opus-57433
identifier:   Richter, Thomas  (2005) Parallel Multigrid Method for Adaptive Finite Elements with Application to 3D Flow Problems.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/5743/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng