Return to search

Ein Konzept zur numerischen Berechnung inkompressibler Strömungen auf Grundlage einer diskontinuierlichen Galerkin-Methode in Verbindung mit nichtüberlappender Gebietszerlegung

A new combination of techniques for the numerical computation of incompressible flow is presented. The temporal discretization bases on the discontinuous Galerkin-formulation. Both constant (DG(0)) and linear approximation (DG(1)) in time is discussed. In case of DG(1) an iterative method reduces the problem to a sequence of problems each with the dimension of the DG(0) approach. For the semi-discrete problems a Galerkin/least-squares method is applied. Furthermore a non-overlapping domain decomposition method can be used for a parallelized computation. The main advantage of this approach is the low amount of information which must be exchanged between the subdomains. Due to the slight bandwidth a workstation-cluster is a suitable platform. Otherwise this method is efficient only for a small number of subdomains. The interface condition is of the Robin/Robin-type and for the Navier-Stokes equation a formulation introducing a further pressure interface condition is used. Additionally a suggestion for the implementation of the standard k-epsilon turbulence model with special wall function is done in this context. All the features mentioned above are implemented in a code called ParallelNS. Using this code the verification of this approach was done on a large number of examples ranging from simple advection-diffusion problems to turbulent convection in a closed cavity.

Identiferoai:union.ndltd.org:DRESDEN/oai:qucosa.de:swb:14-992350020281-96843
Date12 September 1999
CreatorsMüller, Hannes
ContributorsTechnische Universität Dresden, Maschinenwesen, Prof. Dr.-Ing. R. Grundmann, Dr.-Ing. W. Kordulla, Prof. Dr. rer. nat. habil. G. Lube, Prof. Dr.-Ing. R. Grundmann
PublisherSaechsische Landesbibliothek- Staats- und Universitaetsbibliothek Dresden
Source SetsHochschulschriftenserver (HSSS) der SLUB Dresden
Languagedeu
Detected LanguageEnglish
Typedoc-type:doctoralThesis
Formatapplication/pdf

Page generated in 0.0025 seconds