Title: On lattice Boltzmann scheme, finite volumes and boundary conditions

Authors: F. Dubois, P. Lallemand

Addresses: Conservatoire National des Arts et Metiers, Paris, France; Department of Mathematics, Paris Sud University, Orsay, France. ' Applications Scientifiques du Calcul Intensif, Orsay, France

Abstract: We develop the idea that a natural link between Boltzmann schemes and finite volumes exists naturally: the conserved mass and momentum during the collision phase of the Boltzmann scheme induces general expressions for mass and momentum fluxes. We treat a unidimensional case and focus our development in two dimensions on possible flux boundary conditions. Several test cases show that a high level of accuracy can be achieved with this scheme.

Keywords: lattice Boltzmann method; boundary conditions; finite volume method; flux boundary conditions; mass fluxes; momentum fluxes.

DOI: 10.1504/PCFD.2008.018075

Progress in Computational Fluid Dynamics, An International Journal, 2008 Vol.8 No.1/2/3/4, pp.11 - 24

Published online: 30 Apr 2008 *

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