Discontinuous velocity boundary data for the lid driven cavity flow has long been causing difficulties in both theoretical analysis and numerical simulations. In finite element methods, the variational form for the driven cavity flow is not valid since the velocity is not in H. Hence standard error estimates do not work. By using only W1,r (1 < r < 2) regularity and constructing a continuous ap...

In this study, a numerical solution of 2D steady incompressible lid-driven cavity flow is presented. Three different numerical schemes were employed to make a comparison on the practicality of the methods. An alternating direction implicit scheme for the vorticity-stream function formulation, explicit and implicit schemes for the primitive variable formulation of governing Navier-Stokes equatio...

the numerical method presented by safaiy et al. [1] is reformulated with finite volume method in its most general form and tested on non-orthogonal flow problems. navier-stokes equations are solved for the solution of stream function and vorticity. numerical solutions of the driven skewed cavity flow, solved using a fine grid (513×513) mesh, are presented for reynolds number of 100 and 1000 for...