On lattice Boltzmann scheme, finite volumes and boundary conditions
Author:
François Dubois, Pierre Lallemand
Keyword:
Nonlinear Sciences, Cellular Automata and Lattice Gases, Cellular Automata and Lattice Gases (nlin.CG)
journal:
Progress in Computational Fluid Dynamics, 2008, 8 (1-4), pp.11-24
date:
2023-06-26 16:00:00
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.