@Article{CiCP-28-1274,
author = {Brull , Stéphane and Prigent , Corentin},
title = {Local Discrete Velocity Grids for Multi-Species Rarefied Flow Simulations},
journal = {Communications in Computational Physics},
year = {2020},
volume = {28},
number = {4},
pages = {1274--1304},
abstract = {<p style="text-align: justify;">This article deals with the derivation of an adaptive numerical method for
mono-dimensional kinetic equations for gas mixtures. For classical deterministic kinetic methods, the velocity domain is chosen accordingly to the initial condition. In
such methods, this velocity domain is the same for all time, all space points and all
species. The idea developed in this article relies on defining velocity domains that
depend on space, time and species. This allows the method to locally adapt to the
support of the distribution functions. The method consists in computing macroscopic
quantities by the use of conservation laws, which enables the definition of such local
grids. Then, an interpolation procedure along with a upwind scheme is performed in
order to treat the advection term, and an implicit treatment of the BGK operator allows
for the derivation of an AP scheme, where the stability condition is independent of the
relaxation rate. The method is then applied to a series of test cases and compared to the
classical DVM method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2019-0089},
url = {http://global-sci.org/intro/article_detail/cicp/18101.html}
}