Simulating high Reynolds number flow in two-dimensional lid-driven cavity by multi-relaxation-time lattice Boltzmann method |
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Authors: | Chai Zhen-Hu Shi Bao-Chang and Zheng Lin |
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Institution: | 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 |
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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. |
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Keywords: | multi-relaxation-time lattice Boltzmann method non-equilibrium extrapolation scheme high Reynolds number lid-driven cavity flow |
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