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A factorized central moment lattice Boltzmann method

  • M. GeierEmail author
  • A. Greiner
  • J. G. Korvink
Article

Abstract

We determine appropriate attractors for higher than third-order central moments for the relaxation process in three-dimensional lattice Boltzmann methods. It was previously assumed that the appropriate attractors for the relaxation of these moments were their equilibria values as derived from a Maxwell-Boltzmann distribution. However, when the attractor for fourth-order central moments is derived that way, the solution of three-dimensional lattice Boltzmann differs significantly from the analytical solution of the Navier-Stokes equation for simple test cases like Poiseuille flow. We show that the Navier-Stokes solution is recovered when we chose products of low order central moments as the attractors of the higher order central moments.

Keywords

European Physical Journal Special Topic Lattice Boltzmann Method Central Moment Lattice Boltzmann Model Galilean Invariance 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2009

Authors and Affiliations

  1. 1.Imtek – Department of Microsystems EngineeringLaboratory for Simulation, University of FreiburgFreiburgGermany

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