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Chin. Phys., 2004, Vol. 13(5): 712-719    DOI: 10.1088/1009-1963/13/5/024

Numerical simulation of LBGK model for high Reynolds number flow

Zhou Xiao-Yang, Shi Bao-Chang, Wang Neng-Chao
Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China
Abstract  A principle of selecting relaxation parameter was proposed to observe the limit computational capability of the incompressible LBGK models developed by Guo ZL (Guo model) and He SY (He model) for high Reynolds number flow. To the two-dimensional driven cavity flow problem, the highest Reynolds numbers covered by Guo and He models are in the range 58000-52900 and 28000-29000, respectively, at 0.3 Mach number and 1/256 lattice space. The simulation results also show that the Guo model has stronger robustness due to its higher accuracy.
Keywords:  incompressible LBGK model      numerical stability      high Reynolds number  
Received:  10 July 2003      Revised:  29 October 2003      Published:  06 July 2005
PACS:  47.11.-j (Computational methods in fluid dynamics)  
  47.40.Dc (General subsonic flows)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 70271069 and 60073044).

Cite this article: 

Zhou Xiao-Yang, Shi Bao-Chang, Wang Neng-Chao Numerical simulation of LBGK model for high Reynolds number flow 2004 Chin. Phys. 13 712

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