Simulation of Incompressible Flow in Two Sided Lid Driven Cavity using Upwind Compact Scheme

Abstract

In this paper, the flow inside the two sided lid driven cavity is simulated using third order upwind compact finite difference scheme based on flux difference splitting in combination with artificial compressibility approach. The results are compared with alternate direction implicit finite difference scheme. Unlike single lid driven cavity, there is free shear layer and two symmetric secondary eddies growing in size directly with Reynolds numbers for parallel wall motion. However, for anti parallel wall motion the eddy structure changes, the secondary eddies appear in upper left and lower right corners.