中国物理B ›› 2004, Vol. 13 ›› Issue (1): 40-46.doi: 10.1088/1009-1963/13/1/009

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

施保昌1, 何南忠2, 王能超3, 郭照立4   

  1. (1)Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China; State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China; (2)School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China; (3)School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China; Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China; (4)State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China
  • 收稿日期:2003-03-21 修回日期:2003-06-04 出版日期:2004-01-22 发布日期:2007-03-22
  • 基金资助:
    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).

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   

  1. 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
  • Received:2003-03-21 Revised:2003-06-04 Online:2004-01-22 Published:2007-03-22
  • Supported by:
    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).

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摘要： 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.

关键词: unified incompressible lattice BGK model, incompressible Navier－Stokes equation, three-dimensional lid-driven cavity flow

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.

Key words: unified incompressible lattice BGK model, incompressible Navier－Stokes equation, three-dimensional lid-driven cavity flow

中图分类号:  (General theory in fluid dynamics)

  • 47.10.-g
47.11.-j (Computational methods in fluid dynamics)