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.
Received: 21 March 2003
Revised: 04 June 2003
Accepted manuscript online:
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
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