Simulation in primitive variables of incompressible flow with pressure Neumann condition

A velocity-pressure algorithm, in primitive variables and finite difference s, is developed for incompressible viscous flow with a Neumann pressure bou ndary condition. The pressure field is initialized by least-squares and upd ated from the Poisson equation in a direct weighted manner. Simulations wit h the cavity problem were made for several Reynolds numbers. The expected d isplacement of the central vortex was obtained, as well as the development of secondary and tertiary eddies. Copyright (C) 1999 John Wiley & Sons, Ltd .