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A factorized central moment lattice Boltzmann method

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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.

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Authors and Affiliations

  1. Imtek – Department of Microsystems Engineering, Laboratory for Simulation, University of Freiburg, Georges-Koehler-Allee 103, 79110, Freiburg, Germany

    M. Geier, A. Greiner & J. G. Korvink

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  1. M. Geier
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  2. A. Greiner
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  3. J. G. Korvink
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Correspondence to M. Geier.

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Geier, M., Greiner, A. & Korvink, J. A factorized central moment lattice Boltzmann method. Eur. Phys. J. Spec. Top. 171, 55–61 (2009). https://doi.org/10.1140/epjst/e2009-01011-1

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