Lattice BGK Model for Incompressible Axisymmetric Flows  

作　　者：Ting Zhang Baochang Shi Zhenhua Chai Fumei Rong 

机构地区：[1]State Key Laboratory of Coal Combustion,Huazhong University of Science and Technology,Wuhan 430074,China [2]School of Mathematics and Statistics,Huazhong University of Science and Technology,Wuhan 430074,China

出　　处：《Communications in Computational Physics》2012年第5期1569-1590,共22页计算物理通讯（英文）

基　　金：One of authors(T.Zhang)is grateful to Liang Wang for useful discussions.This work is financially supported by the National Basic Research Program of China(Grant No.2011CB707305);the National Natural Science Foundation of China(Grant Nos.51006040 and 51006039);the Fundamental Research Funds for the Central Universities,Hust(Grant Nos.2010MS131 and 2010JC005).

摘　　要：In this paper,a lattice Boltzmann BGK(LBGK)model is proposed for simulating incompressible axisymmetric flows.Unlike other existing axisymmetric lattice Boltzmann models,the present LBGK model can eliminate the compressible effects only with the smallMach number limit.Furthermore the source terms of themodel are simple and contain no velocity gradients.Through the Chapman-Enskog expansion,the macroscopic equations for incompressible axisymmetric flows can be exactly recovered fromthe present LBGKmodel.Numerical simulations of theHagen-Poiseuille flow,the pulsatile Womersley flow,the flow over a sphere,and the swirling flow in a closed cylindrical cavity are performed.The results agree well with the analytic solutions and the existing numerical or experimental data reported in some previous studies.

关 键 词：Lattice BGK model incompressible axisymmetric 

分 类 号：O35[理学—流体力学]