https://doi.org/10.1140/epjst/e2009-01011-1
A factorized central moment lattice Boltzmann method
Imtek – Department of Microsystems Engineering, Laboratory for Simulation, University of Freiburg, Georges-Koehler-Allee 103, 79110 Freiburg, Germany
Corresponding author: geier@imtek.de
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.
© EDP Sciences, Springer-Verlag, 2009
