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Comparison between LB-SGS method and MRT-LBM method for numerical simulation of high Reynolds number lid driven flow

CHEN Chunmei,WANG Dong,YANG Zhigang(Shanghai Automotive Wind Tunnel Center,Tongji University,Shanghai 201804,China)  
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.
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