• search hit 4 of 19
Back to Result List

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.

Download full text files

Export metadata

Additional Services

Share in Twitter Search Google Scholar
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