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)
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
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.
Received: 24 December 2005
Revised: 20 March 2006
Accepted manuscript online:
Chai Zhen-Hua(柴振华), Shi Bao-Chang(施保昌), and Zheng Lin(郑林) Simulating high Reynolds number flow in two-dimensional lid-driven cavity by multi-relaxation-time lattice Boltzmann method 2006 Chinese Physics 15 1855
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