A multigrid-solver for the discrete Boltzmann equation

Jonas Tölke, Manfred Krafczyk, Ernst Rank

Research output: Contribution to journalArticlepeer-review

44 Scopus citations


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.

Original languageEnglish
Article number367989
Pages (from-to)573-591
Number of pages19
JournalJournal of Statistical Physics
Issue number1-2
StatePublished - 2002


  • Lattice Boltzmann method
  • Multigrid


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