An inverse Lax-Wendroff method for boundary conditions applied to Boltzmann type models

JOURNAL OF COMPUTATIONAL PHYSICS

卷:245

Article

Filbet, Francis¹  Yang, Chang¹ 

[1] Univ Lyon 1, CNRS, UMR 5208, Inst Camille Jordan, F-69622 Villeurbanne, France

关键词: Inverse Lax-Wendroff procedure;    WENO;    Boltzmann type models;   

DOI  :  10.1016/j.jcp.2013.03.015

来源: Elsevier

【 摘 要 】

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 x 3D and 2D x 3D based on this approach are proposed for Boltzmann type operators (BGK, ES-BGK models). (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free