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

By coupling the non-equilibrium extrapolation scheme for boundary condition with themulti-relaxation-time lattice Boltzmann method, this paper finds that the stabilityof the multi-relaxation-time model can be improved greatly, especially onsimulating high Reynolds number (Re) flow. As a discovery, the super-stabilityanalysed by Lallemand and Luo is verified and the complex structure of the cavityflow is also exhibited in our numerical simulation when Re is high enough. To thebest knowledge of the authors, the maximum of Re which has been investigated bydirect 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.