On rotational invariance of lattice Boltzmann schemes
Numerical Analysis
2014-01-03 v1 Cellular Automata and Lattice Gases
Abstract
We propose the derivation of acoustic-type isotropic partial differential equations that are equivalent to linear lattice Boltzmann schemes with a density scalar field and a momentum vector field as conserved moments. The corresponding linear equivalent partial differential equations are generated with a new "Berliner version" of the Taylor expansion method. The details of the implementation are presented. These ideas are applied for the D2Q9, D2Q13, D3Q19 and D3Q27 lattice Boltzmann schemes. Some limitations associated with necessary stability conditions are also presented.
Keywords
Cite
@article{arxiv.1401.0399,
title = {On rotational invariance of lattice Boltzmann schemes},
author = {Adeline Augier and François Dubois and Benjamin Graille and Pierre Lallemand},
journal= {arXiv preprint arXiv:1401.0399},
year = {2014}
}
Comments
24 pages