Simulation of Incompressible Flows in Two-Sided Lid-Driven Square Cavities. Part I - FDM

The present paper computes the flow in a two-sided lid-driven square cavity by finite difference method (FDM). The two-sided lid-driven cavity problem has multiple steady solutions for some aspect ratios. However, for the square cavity, the problem gives only a single steady solution for both the parallel and antiparallel motion of the walls. Unlike one-sided lid-driven cavity flows involving wall shear layer and their separation, the two-sided cavity flow with parallel wall motion also involve a free shear layer and different vortex patterns. The problem therefore merits careful investigation, which is attempted in this paper through the finite difference method for various Reynolds numbers for both the parallel and antiparallel motion of the walls.