Discrete Rotational Symmetry, Moment Isotropy, and High Order Lattice Boltzmann Models
Computational Physics
2007-09-11 v1 Fluid Dynamics
Abstract
Conventional lattice Boltzmann models only satisfy moment isotropy up to fourth order. In order to accurately describe improtant physical effects beyond the isothermal Navier-Stokes fluid regime, higher order isotropy is required. In this paper, we present some basic results on moment isotropy and its relationship to the rotational symmetry of a generating discrete vector set. The anslysis provides a geometric understanding for popular lattice Boltzmann models, while offering a systematic procedure to construct higher order models.
Keywords
Cite
@article{arxiv.0709.1464,
title = {Discrete Rotational Symmetry, Moment Isotropy, and High Order Lattice Boltzmann Models},
author = {Hudong Chen and Isaac Goldhrish and Steven Orszag},
journal= {arXiv preprint arXiv:0709.1464},
year = {2007}
}