4.4 Article Proceedings Paper

A multigrid-solver for the discrete Boltzmann equation

Journal

JOURNAL OF STATISTICAL PHYSICS
Volume 107, Issue 1-2, Pages 573-591

Publisher

KLUWER ACADEMIC/PLENUM PUBL
DOI: 10.1023/A:1014551813787

Keywords

lattice Boltzmann method; multigrid

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This paper introduces a nonlinear multigrid solution approach for the discrete Boltzmann equation discretized by an implicit second-order Finite Difference scheme. For simplicity we restrict the discussion to the stationary case. A numerical example shows the drastically improved efficiency in comparison to the widely used Lattice-Bathnagar-Gross Krook (LBGK) approach.

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