Stability analysis of lattice Boltzmann methods
type: Item
instance of: scholarly article
title: Stability analysis of lattice Boltzmann methods
zbMATH Open document ID: 0840.76078
author: James D. Sterling
author: Shiyi Chen
published in: Journal of Computational Physics
publication date: 1996-07-10T00:00:00Z
full work available at URL: https://arxiv.org/abs/comp-gas/9306001
review text: We present an analysis of the stability of perturbations of the particle populations linearized about equilibrium values corresponding to a constant-density uniform mean flow. The linear stability depends on the following parameters: the distribution of the mass at a site between the different discrete speeds, the BGK relaxation time, the mean velocity, and the wave-number of the perturbations. We report some stability results for a subset of the parameter space for a 7-velocity hexagonal lattice, a 9-velocity square lattice, and a 15-velocity cubic lattice.
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76P05
Mathematics Subject Classification ID: 82B20
zbMATH DE Number: 851763
zbMATH Keywords: perturbations
zbMATH Keywords: constant-density uniform mean flow
zbMATH Keywords: linear stability
zbMATH Keywords: BGK relaxation time
zbMATH Keywords: mean velocity
zbMATH Keywords: parameter space
zbMATH Keywords: hexagonal lattice
zbMATH Keywords: square lattice
zbMATH Keywords: cubic lattice
Wikidata QID: Q107238900
MaRDI profile type: Publication
OpenAlex ID: W2083275413
arXiv ID: comp-gas/9306001
DOI: 10.1006/JCPH.1996.0016
description: scientific article