Third order equivalent equation for the relative velocity lattice Boltzmann schemes with one conservation law
Numerical Analysis
2015-02-10 v1
Abstract
We study the formal precision of the relative velocity lattice Boltzmann schemes. They differ from the d'Humi\`eres schemes by their relaxation phase: it occurs for a set of moments parametrized by a velocity field function of space and time. We deal with the asymptotics of the relative velocity schemes for one conservation law: the third order equivalent equation is exposed for an arbitrary number of dimensions and velocities.
Keywords
Cite
@article{arxiv.1502.02143,
title = {Third order equivalent equation for the relative velocity lattice Boltzmann schemes with one conservation law},
author = {Benjamin Graille and François Dubois and Tony Fevrier},
journal= {arXiv preprint arXiv:1502.02143},
year = {2015}
}