A factorized central moment lattice Boltzmann method

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 Maxw...

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Bibliographic Details
Published in:The European physical journal. ST, Special topics Special topics, 2009-04, Vol.171 (1), p.55-61
Main Authors: Geier, M., Greiner, A., Korvink, J. G.
Format: Article
Language:English
Subjects:
Atomic
Classical and Continuum Physics
Classical statistical mechanics
Condensed Matter Physics
Exact sciences and technology
Materials Science
Measurement Science and Instrumentation
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Statistical mechanics of classical fluids
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Summary: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.
ISSN:1951-6355
1951-6401
DOI:10.1140/epjst/e2009-01011-1