A Finite Difference Interpretation of the Lattice Boltzmann Method

  • Compared to conventional techniques in computational fluid dynamics, the lattice Boltzmann method (LBM) seems to be a completely different approach to solve the incompressible Navier-Stokes equations. The aim of this article is to correct this impression by showing the close relation of LBM to two standard methods: relaxation schemes and explicit finite difference discretizations. As a side effect, new starting points for a discretization of the incompressible Navier-Stokes equations are obtained.

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Author:Michael Junk
URN (permanent link):urn:nbn:de:hbz:386-kluedo-6208
Serie (Series number):Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (211)
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):2000/04/03
Tag:discrete velocity models; finite difference method; incompressible Navier-Stokes equations; lattice Boltzmann method; low Mach number limit; rela
Faculties / Organisational entities:Fachbereich Mathematik
DDC-Cassification:5 Naturwissenschaften und Mathematik / 510 Mathematik
Licence (German):Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011