A Stability Notion for Lattice Boltzmann Equations

Authors:
M. K. Banda;W.-A. Yong;A. Klar
Affiliations:
-;-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2005

Citing 0
Cited 5

Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains

Computers & Mathematics with Applications
Acceleration of lattice Boltzmann models through state extrapolation: a reaction--diffusion example

Applied Numerical Mathematics
An Onsager-like relation for the lattice Boltzmann method

Computers & Mathematics with Applications
On the stability structure for lattice Boltzmann schemes

Computers & Mathematics with Applications
Numerical Study of the Nonlinear Combined Sine-Cosine-Gordon Equation with the Lattice Boltzmann Method

Journal of Scientific Computing

Quantified Score

Hi-index	0.00

Visualization

Abstract

Lattice Boltzmann equations are usually constructed to satisfy some physical requirements such as Galilean invariance and isotropy, to possess a velocity-independent pressure and no compressible effects, and so on. In this paper, a stability requirement is introduced as a new criterion for the constructions. With this requirement, we derive some relations of parameters for several lattice Boltzmann models. Interestingly, these relations are satisfied by many choices of parameters used in the literature.