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arXiv · 2306.15291

On lattice Boltzmann scheme, finite volumes and boundary conditions

François Dubois·Pierre Lallemand
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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.

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François Dubois, Pierre Lallemand. 2023-06-27. On lattice Boltzmann scheme, finite volumes and boundary conditions. https://doi.org/10.1504/pcfd.2008.018075

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