中国物理B ›› 2004, Vol. 13 ›› Issue (5): 712-719.doi: 10.1088/1009-1963/13/5/024

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

Numerical simulation of LBGK model for high Reynolds number flow

周晓阳, 施保昌, 王能超   

  1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China
  • 收稿日期:2003-07-10 修回日期:2003-10-29 出版日期:2005-07-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 70271069 and 60073044).

Numerical simulation of LBGK model for high Reynolds number flow

Zhou Xiao-Yang (周晓阳), Shi Bao-Chang (施保昌), Wang Neng-Chao (王能超)   

  1. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2003-07-10 Revised:2003-10-29 Online:2005-07-06 Published:2005-07-06
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 70271069 and 60073044).

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摘要： 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.

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.

Key words: incompressible LBGK model, numerical stability, high Reynolds number

中图分类号:  (Computational methods in fluid dynamics)

  • 47.11.-j
47.40.Dc (General subsonic flows)