Large Eddy Simulation Modeling in 2D Lid-Driven Cavity

Abstract

Primitive variable formulation of Navier–Stokes equation is solved in a lid-driven cavity using SIMPLE algorithm. The equations are discretized using finite volume method in a staggered grid mesh. The turbulence flow phenomena are observed in a 2D lid-driven cavity using large eddy simulation modeling of flow. Smagorinsky model is applied for the formulation of eddy viscosity. The solution is obtained upto maximum Reynolds number 4500 using grid sizes 66 × 66, 81 × 81, 101 × 101 and 121 × 121. A comparison has been drawn between turbulence model and without turbulence model. The study of comparison between two models consists of velocity profiles along the center of the cavity, location of primary and secondary eddies, velocity vector plot and pressure contours.