A Fine Grid Solution for a Lid-Driven Cavity Flow Using Multigrid Method

Abstract

This article presents the numerical solution of two dimensional fluid flow problem using multigrid method (MGM) full approximation scheme (FAS). Laminar flow in a square cavity with a moving wall is calculated for different Reynolds number on a fine uniform grid of 513 x 513. The finite volume method through the concepts of colocated grid and SIMPLEC algorithm has been applied. The method is fully conservative and uses higher order schemes (QUICK scheme) for convective fluxes and second order central differencing for diffusion fluxes. The numerical solutions of 2D incompressible flow in a driven cavity are presented. The multigrid implementation is documented in detail. The steady driven cavity solutions are computed for Re