Multi-relaxation-time lattice Boltzmann model for incompressible flow

In this Letter an incompressible MRT-LB model has been proposed. The equilibria in momentum space are derived from an earlier incompressible LBGK model by Guo et al. Through the Chapman–Enskog expansion the incompressible Navier–Stokes equations can be recovered without artificial compressible effects. The steady Poiseuille flow, the driven cavity flow and the double shear flow have been carried on by the incompressible MRT-LB model. The numerical simulation results agree well with the analytical solutions or the existing results. It is found that the incompressible MRT-LB model shows better numerical stability.