Applications of the CE/SE Scheme to Incompressible Viscous Flows in Two-Sided Lid-Driven Square Cavities

Abstract

The spacetime conservation element-solution element (CE/SE) method is extended to two-dimensional incompressible viscous flow in a two-sided lid-driven square cavity. Based on the SIMPLE method concept, the preconditioned dual-time scheme is introduced for unsteady computations. The CE/SE-based code is validated by simulating one-sided lid-driven cavity flows. The two-sided lid-driven square cavity problem involves several interesting characteristics being successfully predicted, including development of a pair of off-corner vortices and a free shear layer in the case of parallel wall motion, as well as the appearance of corner vortices for lower Reynolds numbers in the case of anti-parallel motion of the walls. It is found that both the Reynolds number and the direction of the moving walls affect the fluid flow in the cavity.