Title
An inverse Lax-Wendroff method for boundary conditions applied to Boltzmann type models.
Abstract
In this paper we present a new algorithm based on Cartesian meshes for the numerical approximation of kinetic models set in an arbitrary geometry. Due to the high dimensional property of kinetic models, numerical algorithms based on unstructured meshes are not really appropriate since most of numerical methods (semi-Lagrangian, spectral methods) are particularly efficient on structured grids. Here we propose to adapt the inverse Lax–Wendroff procedure, which has been recently introduced for conservation laws [21], for kinetic equations. Numerical simulations in 1D×3D and 2D×3D based on this approach are proposed for Boltzmann type operators (BGK, ES-BGK models).
Year
DOI
Venue
2013
10.1016/j.jcp.2013.03.015
Journal of Computational Physics
Keywords
DocType
Volume
Inverse Lax–Wendroff procedure,WENO,Boltzmann type models
Journal
245
ISSN
Citations 
PageRank 
0021-9991
2
0.40
References 
Authors
6
2
Name
Order
Citations
PageRank
Francis Filbet127137.95
Chang Yang220.40