Numerical Simulation of High Reynolds Number Flow in Lid-Driven Cavity Using Multi- Relaxation Time Lattice Boltzmann Method

Abstract

The lattice Boltzmann method (LBM) is a potent numerical technique based on kinetic theory, which has been effectively employed in various complicated physical, chemical and fluid mechanics problems. In recent years, transient and turbulent flow simulation by using this new class of computational fluid dynamics method has attracted more attention. In this paper, a two dimensional lid-driven cavity flows at different Reynolds number (1,000-50,000) are simulated by using multirelaxation (MRT) and LBGK (SRT) Lattice Boltzmann method. The results are compared with previous published papers, which solved the Navier-Stokes equation directly. Moreover, the effects of relaxation parameters variation in MRT model and spatial oscillation reduction in solution near geometrically singular points are highlighted. The comparisons between the simulated results showed that the multirelaxation lattice Boltzmann method has the capacity to predict the flow characteristics, such as circulating flow and velocity profile with reasonable accuracy and reliability. The proper adjustment of the relaxation factors for non-conserved modes in MRT is the key point for achieving most verifiable results with Navier-Stokes solution