G050011 A Study on Numerical Simulation of Flow in High Reynolds Number Region using Lattice Boltzmann Model

Abstract

Quasi-equilibrium Lattice Boltzmann model (QELBM) has been developed in order to get stable solution at high Reynolds number flow simulation in recent years. Since QELBM uses only two relaxation times to stable the calculation, the algorithm is simpler than MRT, which is the model often used to stable the solution, and 13 velocity model for 3-dimensional calculation, which cannot introduce in Entropic Lattice Boltzmann model, can be used. However, the Application of QELBM for 3-dimensonal flow has not been done yet, thus the detail of the advantage of QELBM for other methods is not known. In this study, we applied QELBM to flow in a Cubic cavity in Reynolds number Re = 100,400 and 1000, and investigated the stability, accuracy and computational effort by comparing with 13 velocity MRT and 19 velocity LBGK model. As a result, it was found that QELBM can efficiently calculate the flow with equivalent computational stability and accuracy to the other models.