ct 9 A new discrete-velocity method for the numerical solution of large eddy simulation (LES) is presented based on relax10 ation type formulation. The discrete-velocity equations are derived from the continuous Boltzmann equation with appro11 priate scaling suitable for incompressible flows. The turbulence effects are incorporated in the system by considering the 12 Smagorinsky model. A higher-order relaxation scheme is proposed for discretization of the system. The methods have been 13 verified by solving a mixing layer problem and flow past a circular cylinder. The obtained results show that the developed 14 methods are competitive tools for LES. 15
Mapundi K. Banda, Mohammed Seaïd, Ioan Teleag