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Article Dans Une Revue Progress in Computational Fluid Dynamics Année : 2008

On lattice Boltzmann scheme, finite volumes and boundary conditions

Résumé

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.
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hal-04142467 , version 1 (27-06-2023)

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François Dubois, Pierre Lallemand. On lattice Boltzmann scheme, finite volumes and boundary conditions. Progress in Computational Fluid Dynamics, 2008, 8 (1-4), pp.11-24. ⟨10.1504/PCFD.2008.018075⟩. ⟨hal-04142467⟩
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