On lattice Boltzmann scheme, finite volumes and boundary conditions

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.

Cited by in corpus (2)

• Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis
• Chapman-Enskog Analysis of Finite Volume Lattice Boltzmann Schemes