Efficient Simulation for Incompressible Turbulent Flow Using Lattice Boltzmann Model

Lattice Boltzmann Model is suitable for parallel computation. But it is known that a solution using LBGK model becomes unstable in the case using coarse mesh in high Reynolds number region. In order to overcome this shortcoming, Entropic Lattice Boltzmann model and Quasi-equilibrium Lattice Boltzmann model have been developed. however, comparison between the results obtained by these three method for turbulence flow has not been done yet. In this study, we applied LBGK, ELBM and QELBM to 2-dimensional, incompressible, homogenous, isotropic turbulence and compare the stability, accuracy and computational effort. As the result, enhancement of stability is confirmed by using ELBM and QELBM. Especially, It was found in the case of simulation using coarse grid, ELBM is more stable, and in the case of simulation at high Ma region, QELBM is more stable.