An Incompressible Multi-Relaxation-Time Lattice Boltzmann Method for Large Eddy Simulation of Two-Dimensional Turbulent Flows

In this article, an incompressible Multiple-Relaxation-Time Lattice Boltzmann Equation (MRT-LBE) model for Large-Eddy Simulation (LES) of incompressible turbulent flows is considered. The implementation is discussed in the context of D2Q9 MRT-LBE model in conjunction with the Smagorinsky subgrid closure model. The MRT-LBE LES is applied to a two-dimensional driven cavity flow and double shear flow for studying the dynamics of flow structures. The combination of the LBE method with the subgrid model allows us to simulate the cavity flow up to a Reynolds number of 1000000. The MRT-LBE LES results are compared with (single-relaxation-time) SRT-LBE LES results and existing CFD simulations. Reasonable agreement between the presented numerical results and those of existing CFD simulations demonstrate that the MRT-LBE method is a potentially viable tool for LES of turbulence.