Please wait a minute...
Chinese Physics, 2004, Vol. 13(1): 40-46    DOI: 10.1088/1009-1963/13/1/009
CLASSICAL AREAS OF PHENOMENOLOGY Prev   Next  

A unified incompressible lattice BGK model and its application to three-dimensional lid-driven cavity flow

He Nan-Zhong (何南忠)a, Wang Neng-Chao (王能超)ab, Shi Bao-Chang (施保昌)bc, Guo Zhao-Li (郭照立)c
a School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China; b Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China; c State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract  A unified lattice Bhatnagar-Gross-Krook (ILBGK) model iDdQq for the incompressible Navier-Stokes equation is presented. To test its efficiency, the lid-driven cavity flow in three-dimensional space for Reynolds number Re=3200 and span aspect ratio SAR=1, 2 and 3 is simulated in detail on a 48×48×(48×SAR) uniform lattice using the model. The test results agree well with those in previous experiments and numerical works and show the efficiency and strong numerical stability of the proposed ILBGK model.
Keywords:  unified incompressible lattice BGK model      incompressible Navier-Stokes equation      three-dimensional lid-driven cavity flow  
Received:  21 March 2003      Revised:  04 June 2003      Accepted manuscript online: 
PACS:  47.10.-g (General theory in fluid dynamics)  
  47.11.-j (Computational methods in fluid dynamics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 60073044 and 70271069), and the State Key Development Program for Basic Research of China (Grant No G1999022207).

Cite this article: 

He Nan-Zhong (何南忠), Wang Neng-Chao (王能超), Shi Bao-Chang (施保昌), Guo Zhao-Li (郭照立) A unified incompressible lattice BGK model and its application to three-dimensional lid-driven cavity flow 2004 Chinese Physics 13 40

[1] Density and temperature reconstruction of a flame-induced distorted flow field based on background-oriented schlieren (BOS) technique
Guang-Ming Guo(郭广明), Hong Liu(刘洪). Chin. Phys. B, 2017, 26(6): 064701.
[2] Fully nonlinear (2+1)-dimensional displacement shallow water wave equation
Feng Wu(吴锋), Zheng Yao(姚征), Wanxie Zhong(钟万勰). Chin. Phys. B, 2017, 26(5): 054501.
[3] Modified (2+1)-dimensional displacement shallow water wave system and its approximate similarity solutions
Liu Ping(刘萍) and Fu Pei-Kai(付培凯) . Chin. Phys. B, 2011, 20(9): 090203.
[4] Effects of orientation and shape of holes on the band gaps in water waves over periodically drilled bottoms
Zhong Lan-Hua(钟兰花), Wu Fu-Gen(吴福根), and Zhong Hui-Lin(钟会林). Chin. Phys. B, 2010, 19(2): 020301.
[5] Lattice Boltzmann simulation of fluid flows in two-dimensional channel with complex geometries
Wen Bing-Hai(闻炳海), Liu Hai-Yan(刘海燕), Zhang Chao-Ying(张超英), and Wang Qiang(王强). Chin. Phys. B, 2009, 18(10): 4353-4359.
[6] Lattice Boltzmann simulation of behaviour of particles moving in blood vessels under the rolling massage
Yi Hou-Hui(伊厚会), Yang Xiao-Feng(杨小锋), Wang Cai-Feng(王彩凤), and Li Hua-Bing(李华兵). Chin. Phys. B, 2009, 18(7): 2878-2884.
[7] A third-order asymptotic solution of nonlinear standing water waves in Lagrangian coordinates
Chen Yang-Yih(陈阳益) and Hsu Hung-Chu (许弘莒). Chin. Phys. B, 2009, 18(3): 861-871.
[8] The effect of surface roughness on rarefied gas flows by lattice Boltzmann method
Liu Chao-Feng (刘超峰), Ni Yu-Shan (倪玉山). Chin. Phys. B, 2008, 17(12): 4554-4561.
[9] Lattice Boltzmann method with the cell-population equilibrium
Zhou Xiao-Yang(周晓阳), Cheng Bing(程冰), and Shi Bao-Chang(施保昌). Chin. Phys. B, 2008, 17(1): 238-248.
[10] Anomalous scaling in a non-Gaussian random shell model for passive scalars
Zhao Ying-Kui(赵英奎), Chen Shi-Gang(陈式刚), and Wang Guang-Rui(王光瑞). Chin. Phys. B, 2007, 16(10): 2848-2854.
[11] Lattice Boltzmann simulations of a dumbbell moving in a Poiseuille flow
Yi Hou-Hui(伊厚会), Chen Yan-Yan(陈艳燕), and Li Hua-Bing(李华兵). Chin. Phys. B, 2007, 16(8): 2444-2448.
[12] A set of Boussinesq-type equations for interfacial internal waves in two-layer stratified fluid
Song Jin-Bao(宋金宝). Chin. Phys. B, 2006, 15(12): 2796-2803.
[13] Velocity overshoot of start-up flow for a Maxwellfluid in a porous half-space
Tan Wen-Chang(谭文长). Chin. Phys. B, 2006, 15(11): 2644-2650.
[14] Numerical simulation for separation of multi-phase immiscible fluids in porous media
Wu Bai-Zhi (吴柏志), Xu You-Sheng (许友生), Liu Yang (刘扬), Huang Guo-Xiang (黄国翔). Chin. Phys. B, 2005, 14(10): 2046-2051.
[15] A new lattice Boltzmann model for incompressible magnetohydrodynamics
Chen Xing-Wang (陈兴旺), Shi Bao-Chang (施保昌). Chin. Phys. B, 2005, 14(7): 1398-1406.
No Suggested Reading articles found!