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Discretizations for the Incompressible Navier-Stokes Equations based on the Lattice Boltzmann Method

  • A discrete velocity model with spatial and velocity discretization based on a lattice Boltzmann method is considered in the low Mach number limit. A uniform numerical scheme for this model is investigated. In the limit, the scheme reduces to a finite difference scheme for the incompressible Navier-Stokes equation which is a projection method with a second order spatial discretization on a regular grid. The discretization is analyzed and the method is compared to Chorin's original spatial discretization. Numerical results supporting the analytical statements are presented.

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Metadaten
Author:Michael Junk, Axel Klar
URN (permanent link):urn:nbn:de:hbz:386-kluedo-6215
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (212)
Document Type:Preprint
Language of publication:English
Year of Completion:1999
Year of Publication:1999
Publishing Institute:Technische Universität Kaiserslautern
Date of the Publication (Server):2000/06/25
Tag:Chorin's projection scheme; Discrete velocity models; incompressible Navier-Stokes equations; lattice Boltzmann method; low Mach number limit
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011