The European Physical Journal Special Topics

, Volume 171, Issue 1, pp 55–61

A factorized central moment lattice Boltzmann method


DOI: 10.1140/epjst/e2009-01011-1

Cite this article as:
Geier, M., Greiner, A. & Korvink, J. Eur. Phys. J. Spec. Top. (2009) 171: 55. doi:10.1140/epjst/e2009-01011-1


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.

Copyright information

© EDP Sciences and Springer 2009

Authors and Affiliations

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