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LB-SGS方法和MRT-LBM方法对高雷诺数顶盖驱动流的数值模拟对比
引用本文:陈春媚,王东,杨志刚.LB-SGS方法和MRT-LBM方法对高雷诺数顶盖驱动流的数值模拟对比[J].计算机辅助工程,2012,21(1):32-35.
作者姓名:陈春媚  王东  杨志刚
作者单位:同济大学 上海地面交通工具风洞中心,同济大学 上海地面交通工具风洞中心,同济大学 上海地面交通工具风洞中心
摘    要:针对格子Boltzmann方法(Lattice Boltzmann Method,LBM)广泛采用的LBGK模型虽然简单易行,但对高雷诺数流动模拟稳定性不佳的问题,分别采用结合亚格子模型的LBM(LBM with Sub Grid Scale(SGS),LB-SGS)方法和多松驰时间LBM(Multiple Relaxation Time(MRT)LBM,MRT-LBM)方法对高雷诺数顶盖驱动流进行数值模拟.取Re=7 500对比2种方法得到的涡位置与标准解之间的误差,结果表明LB-SGS方法更接近标准解;保持雷诺数和顶盖速度不变并减少格点数观察收敛情况,结果表明MRT-LBM方法更稳定.

关 键 词:顶盖驱动流  高雷诺数  格子Boltzmann方法  多松驰时间  亚格子模型
收稿时间:2011/10/19 0:00:00
修稿时间:2011/12/14 0:00:00

Comparison between LB-SGS method and MRT-LBM method for numerical simulation of high Reynolds number lid driven flow
CHEN Chunmei,WANG Dong and YANG Zhigang.Comparison between LB-SGS method and MRT-LBM method for numerical simulation of high Reynolds number lid driven flow[J].Computer Aided Engineering,2012,21(1):32-35.
Authors:CHEN Chunmei  WANG Dong and YANG Zhigang
Affiliation:Shanghai Automotive Wind Tunnel Center, Tongji University,Shanghai Automotive Wind Tunnel Center, Tongji University,Shanghai Automotive Wind Tunnel Center, Tongji University
Abstract:Although LBGK model is widely used in Lattice Boltzmann Methods(LBM) because of its simplicity,it shows poor stability for high Reynolds number flow simulation.The numerical simulation of high Reynolds number lid driven flow is performed by LBM with Sub Grid Scale(SGS)(LB-SGS) method and Multiple Relaxation Time(MRT) LBM(MRT-LBM) method.Under Re=7 500,the errors between vortex locations obtained by the two methods and standard solution are compared and the results indicate that LB-SGS method is more accurate;with constant Reynolds number and lid velocity,the convergence obtained by reducing the mesh number shows that MRT-LBM method is more stable.
Keywords:lid driven flow  high Reynolds number  lattice Boltzmann method  multiple relaxation time  sub grid scale
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