On lattice Boltzmann scheme, finite volumes and boundary conditions
by F. Dubois, P. Lallemand
Progress in Computational Fluid Dynamics, An International Journal (PCFD), Vol. 8, No. 1/2/3/4, 2008

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.

Online publication date: Wed, 30-Apr-2008

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