Multiple-Relaxation-Time Lattice Boltzmann Approach to Richtmyer-Meshkov Instability

被引：0

作者：

陈锋 ^{[1
]}

许爱国 ^{[2
]}

张广财 ^{[2
]}

李英骏 ^{[1
]}

机构：

[1] State Key Laboratory for GeoMechanics and Deep Underground Engineering, SMCE, China University of Mining and Technology (Beijing)

[2] National Key Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics

来源：

Communications in Theoretical Physics | 2011年 / 55卷 / 02期

关键词：

lattice Boltzmann method; Richtmyer-Meshkov instability; compressible flows; multiple-relaxation-time; von Neumann stability analysis;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

The aims of the present paper are twofold.At first,we further study the Multiple-Relaxation-Time (MRT) Lattice Boltzmann (LB) model proposed in [Europhys.Lett.90 (2010) 54003].We discuss the reason why the Gram-Schmidt orthogonalization procedure is not needed in the construction of transformation matrix M;point out a reason why the Kataoka-Tsutahara model [Phys.Rev.E 69 (2004) 035701(R)] is only valid in subsonic Rows.The von Neumann stability analysis is performed.Secondly,we carry out a preliminary quantitative study on the Richtmyer-Meshkov instability using the proposed MRT LB model.When a shook wave travels from a fight medium to a heavy one,the simulated growth rate is in qualitative agreement with the perturbation model by Zhang-Sohn.It is about half of the predicted value by the impulsive model and is closer to the experimental result.When the shock wave travels from a heavy medium to a light one,our simulation results are also consistent with physical analysis.

引用

页码：325 / 334

页数：10

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