Discrete-velocity relaxation methods for large eddy simulation

A new discrete-velocity method for the numerical solution of large eddy simulation (LES) is presented based on relaxation type formulation. The discrete-velocity equations are derived from the continuous Boltzmann equation with appropriate scaling suitable for incompressible flows. The turbulence effects are incorporated in the system by considering the Smagorinsky model. A higher-order relaxation scheme is proposed for discretization of the system. The methods have been verified by solving a mixing layer problem and flow past a circular cylinder. The obtained results show that the developed methods are competitive tools for LES.