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.
Progress in Computational Fluid Dynamics, An International Journal, 2008 Vol.8 No.1/2/3/4, pp.11 - 24
Published online: 30 Apr 2008 *Full-text access for editors Access for subscribers Purchase this article Comment on this article