MRT Lattice Boltzmann Schemes for High Reynolds Number Flow in Two-Dimensional Lid-Driven Semi-Circular Cavity

Abstract

The flow pattern in a two-dimensional lid-driven semi-circular cavity is analyzed based on multiple relaxation time lattice Boltzmann method (MRT LBM) in this paper. The Reynolds number ranges from 5000 to 50000. Numerical results show that, as Re increases, the flow in the cavity undergoes a complex transition (from steady to the periodic flow, and finally to the chaotic flow). The results demonstrate the superior numerical stability and wildly applicability of MRT model to high Reynolds number flow.