An overlapping control volume method for the Navier-Stokes equations on non-staggered grids

An algorithm, based on the overlapping control volume (OCV) method, for the solution of the steady and unsteady two-dimensional incompressible Navier- Stokes equations in complex geometry is presented. The primitive variable f ormulation is solved on a non-staggered grid arrangement. The problem of pr essure-velocity decoupling is circumvented by using momentum interpolation. The accuracy and effectiveness of the method is established by solving fiv e steady state and one unsteady test problems. The numerical solutions obta ined using the technique are in good agreement with the analytical and benc hmark solutions available in the literature. On uniform grids, the method g ives second-order accuracy for both diffusion- and convection-dominated flo ws. There is little loss of accuracy on grids that are moderately nan-ortho gonal. Copyright (C) 1999 John Wiley & Sons, Ltd.