Flux Limiter Lattice Boltzmann Scheme Approach to Compressible Flows with Flexible Specific-Heat Ratio and Prandtl Number  

作　　者：甘延标 许爱国 张广财 李英骏 

机构地区：[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,P.O.Box 8009-26,Beijing 100088,China [3]North China Institute of Aerospace Engineering

出　　处：《Communications in Theoretical Physics》2011年第9期490-498,共9页理论物理通讯（英文版）

基　　金：Supported by the Science Foundations of LCP and CAEP under Grant Nos. 2009A0102005 and 2009B0101012;National Natural Science Foundation of China under Grant Nos. 11075021, 11074300, and 11074303;National Basic Research Program (973 Program) under Grant No. 2007CB815105;Fundamental Research Funds for the Central University under Grant No. 2010YS03;Technology Support Program of LangFang under Grant Nos. 2010011029/30/31;Science Foundation of NCIAE under Grant No. 2008-ky-13

摘　　要：We further develop the lattice Boltzmann （LB） model [Physica A 382 （2007） 502] for compressible flows from two aspects. Firstly, we modify the Bhatnagar Gross Krook （BGK） collision term in the LB equation, which makes the model suitable for simulating flows with different Prandtl numbers. Secondly, the flux limiter finite difference （FLFD） scheme is employed to calculate the convection term of the LB equation, which makes the unphysical oscillations at discontinuities be effectively suppressed and the numerical dissipations be significantly diminished. The proposed model is validated by recovering results of some well-known benchmarks, including （i） The thermal Couette flow; （ii） One- and two-dlmenslonal FLiemann problems. Good agreements are obtained between LB results and the exact ones or previously reported solutions. The flexibility, together with the high accuracy of the new model, endows the proposed model considerable potential for tracking some long-standing problems and for investigating nonlinear nonequilibrium complex systems.

关 键 词：lattice Boltzmann method flux limiter compressible flows Prandtl number 

分 类 号：O441[理学—电磁学]