Two-dimensional stable lattice Boltzmann simulation of turbulent flow in wavy walled channel

In recent years, the lattice Boltzmann equation has developed into a promising technique for computational fluid dynamics (CFD). The model (LBM) approach is derived from and kinetic theory, as opposed to standard CFD methods that are based on direct discretization of Navier–Stokes equations. this paper, Newtonian flow passing through wavy walled channel been examined laminar turbulent transition by using LBM. simple LBM problem becomes unstable Reynolds number increases begins. When Ehrenfest’s limiters introduced in LBM, simulation stable higher numbers. Two types geometries studied here, walls relatively small amplitude large amplitude. Our findings walls, unsteady lower numbers compared walls. For vortices formed exhibit periodic shedding inside furrows remain there. vortex starts downstream channel. present variant able simulate Re = 800 R 570.