Hydrodynamic behaviour of Lattice Boltzmann and Lattice BGK models

Preprint

30 August 1993

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.comp-gas/9308001

Abstract

We present a numerical analysis of the validity of classical and generalized hydrodynamics for Lattice Boltzmann Equation (LBE) and Lattice BGK methods in two and three dimensions, as a function of the collision parameters of these models. Our analysis is based on the wave-number dependence of the evolution operator. Good ranges of validity are found for BGK models as long as the relaxation time is chosen smaller than or equal to unity. The additional freedom in the choice of collision parameters for LBE models does not seem to give significant improvement.

Keywords

HYDRODYNAMIC BEHAVIOUR
COLLISION PARAMETERS
NUMERICAL ANALYSIS
LATTICE BOLTZMANN
LATTICE BGK
BGK MODELS

All Related Versions

Version 1, 1993-08-30, ArXiv
Published version: Physical Review E, 50 (6), 4586.

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