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A Multigrid-Solver for the Discrete Boltzmann Equation
Authors:Jonas Tölke  Manfred Krafczyk  Ernst Rank
Affiliation:(1) Institut für Computeranwendungen im Bauwesen, Technische Universität Braunschweig, Germany;(2) Lehrstuhl für Bauinformatik, Technische Universität, München, Germany
Abstract:
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.
Keywords:lattice Boltzmann method  multigrid
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