A multiple-relaxation-time lattice Boltzmann method for high-speed compressible flows

doi:10.1088/1674-1056/24/5/050501

Abstract

This paper presents a coupling compressible model of the lattice Boltzmann method. In this model, the multiple-relaxation-time lattice Boltzmann scheme is used for the evolution of density distribution functions, whereas the modified single-relaxation-time (SRT) lattice Boltzmann scheme is applied for the evolution of potential energy distribution functions. The governing equations are discretized with the third-order Monotone Upwind Schemes for scalar conservation laws finite volume scheme. The choice of relaxation coefficients is discussed simply. Through the numerical simulations, it is found that compressible flows with strong shocks can be well simulated by present model. The numerical results agree well with the reference results and are better than that of the SRT version.

Keywords: lattice Boltzmann method multi-relaxation-time compressible flow finite volume method

Received: 16 August 2014
Revised: 29 December 2014
Accepted manuscript online:

PACS:	05.20.Dd	(Kinetic theory)
	47.11.Df	(Finite volume methods)
	47.40.-x	(Compressible flows; shock waves)

Fund:

Project supported by the Innovation Fund for Aerospace Science and Technology of China (Grant No. 2009200066) and the Aeronautical Science Fund of China (Grant No. 20111453012).

Corresponding Authors: Zhong Cheng-Wen
E-mail: zhongcw@nwpu.edu.cn

About author: 05.20.Dd; 47.11.Df; 47.40.-x

Cite this article:

Li Kai (李凯), Zhong Cheng-Wen (钟诚文) A multiple-relaxation-time lattice Boltzmann method for high-speed compressible flows 2015 Chin. Phys. B 24 050501

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A multiple-relaxation-time lattice Boltzmann method for high-speed compressible flows

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