Prandtl number effects in MRT lattice Boltzmann models for shocked and unshocked compressible fluids

作     者：Feng Chen,1 Aiguo Xu,2,Guangcai Zhang,2 and Yingjun Li 1,1) State Key Laboratory for GeoMechanics and Deep Underground Engineering,China University of Mining and Technology (Beijing),Beijing 100083,China 2) National Key Laboratory of Computational Physics,Institute of Applied Physics and Computational Mathematics,P.O.Box 8009-26,Beijing 100088,China 

作者机构：National Key Laboratory of Computational Physics Institute of Applied Physics and Computational Mathematics P. O. Box 8009-26 Beijing 100088 China 

出 版 物：《Theoretical & Applied Mechanics Letters》 (力学快报（英文版）)

年 卷 期：2011年第1卷第5期

页      面：60-63页

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Science Foundation of LCP [2009A0102005] National Basic Research Program of China [2007CB815105] National Natural Science Foundation of China [11071024, 11075021, 11074300] Fundamental Research Funds for the Central Universities [2010YS03] Science Foundation of CAEP [2009A0102005] 

主　　题：lattice Boltzmann method compressible flows multiple-relaxation-time Prandtl number 

摘      要：This paper constructs a new multiple relaxation time lattice Boltzmann model which is not only for the shocked compressible fluids,but also for the unshocked compressible *** make the model work for unshocked compressible fluids,a key step is to modify the collision operators of energy flux so that the viscous coefficient in momentum equation is consistent with that in energy equation even in the unshocked *** unnecessity of the modification for systems under strong shock is *** model is validated by some well-known benchmark tests,including thermal Couette flow,Riemann *** first system is unshocked and the latter is *** both systems,the Prandtl number effects are *** agreements are obtained between new model results and analytical ones.