Approximation of mono-dimensional hyperbolic systems: A lattice Boltzmann scheme as a relaxation method

JOURNAL OF COMPUTATIONAL PHYSICS

卷:266

Article

Graille, B.^1,2 

[1] Univ Paris 11, Math Lab, UMR 8628, F-91405 Orsay, France

[2] CNRS, F-91405 Orsay, France

关键词: Lattice Boltzmann scheme;    Relaxation method;    Hyperbolic system;   

DOI  :  10.1016/j.jcp.2014.02.017

来源: Elsevier

【 摘 要 】

We focus on mono-dimensional hyperbolic systems approximated by a particular lattice Boltzmann scheme. The scheme is described in the framework of the multiple relaxation times method and stability conditions are given. An analysis is done to link the scheme with an explicit finite differences approximation of the relaxation method proposed by Jin and Xin. Several numerical illustrations are given for the transport equation, Burger's equation, the p-system, and full compressible Euler's system. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free