@Article{CiCP-17-1088,
author = {François Dubois, Tony Fevrier and Benjamin Graille},
title = {Lattice Boltzmann Schemes with Relative Velocities},
journal = {Communications in Computational Physics},
year = {2018},
volume = {17},
number = {4},
pages = {1088--1112},
abstract = {<p style="text-align: justify;">In this contribution, a new class of lattice Boltzmann schemes is introduced
and studied. These schemes are presented in a framework that generalizes the multiple
relaxation times method of d&#39;Humières. They extend also the Geier&#39;s cascaded
method. The relaxation phase takes place in a moving frame involving a set of moments
depending on a given relative velocity field. We establish with the Taylor expansion
method that the equivalent partial differential equations are identical to the
ones obtained with the multiple relaxation times method up to the second order accuracy.
The method is then performed to derive the equivalent equations up to third
order accuracy.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.2014.m394},
url = {http://global-sci.org/intro/article_detail/cicp/11003.html}
}