中国物理B ›› 2006, Vol. 15 ›› Issue (8): 1855-1863.doi: 10.1088/1009-1963/15/8/038

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Simulating high Reynolds number flow in two-dimensional lid-driven cavity by multi-relaxation-time lattice Boltzmann method

郑　林1, 柴振华2, 施保昌3   

  1. (1)Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China; (2)State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China; (3)State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China;Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China
  • 收稿日期:2005-12-24 修回日期:2006-03-20 出版日期:2006-08-20 发布日期:2006-08-20

Simulating high Reynolds number flow in two-dimensional lid-driven cavity by multi-relaxation-time lattice Boltzmann method

Chai Zhen-Hua(柴振华)a), Shi Bao-Chang(施保昌)a)b)†, and Zheng Lin(郑林)b)   

  1. a State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China; b Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China
  • Received:2005-12-24 Revised:2006-03-20 Online:2006-08-20 Published:2006-08-20

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摘要： By coupling the non-equilibrium extrapolation scheme for boundary condition with the multi-relaxation-time lattice Boltzmann method, this paper finds that the stability of the multi-relaxation-time model can be improved greatly, especially on simulating high Reynolds number (Re) flow. As a discovery, the super-stability analysed by Lallemand and Luo is verified and the complex structure of the cavity flow is also exhibited in our numerical simulation when Re is high enough. To the best knowledge of the authors, the maximum of Re which has been investigated by direct numerical simulation is only around 50,000 in the literature; however, this paper can readily extend the maximum to 1000,000 with the above combination.

关键词: multi-relaxation-time lattice Boltzmann method, non-equilibrium extrapolation scheme, high Reynolds number, lid-driven cavity flow

Abstract: By coupling the non-equilibrium extrapolation scheme for boundary condition with the multi-relaxation-time lattice Boltzmann method, this paper finds that the stability of the multi-relaxation-time model can be improved greatly, especially on simulating high Reynolds number (Re) flow. As a discovery, the super-stability analysed by Lallemand and Luo is verified and the complex structure of the cavity flow is also exhibited in our numerical simulation when Re is high enough. To the best knowledge of the authors, the maximum of Re which has been investigated by direct numerical simulation is only around 50 000 in the literature; however, this paper can readily extend the maximum to 1000,000 with the above combination.

Key words: multi-relaxation-time lattice Boltzmann method, non-equilibrium extrapolation scheme, high Reynolds number, lid-driven cavity flow

中图分类号:  (Lattice gas)

  • 47.11.Qr
47.27.Jv (High-Reynolds-number turbulence) 47.10.ad (Navier-Stokes equations)