A calculation procedure for solution of incompressible Navier-Stokes equations on curvilinear non staggered grids

Abstract

A recently proposed pressure-correction algorithm for solution of incompressible Navier-Stokes equations on nonstaggered grids introduced the notion of smoothing pressure correction to overcome the problem of checkerboard prediction of pressure [9]. The algorithm was derived for equations in Cartesian coordinates, In this article, the algorithm is extended to solution of Navier-Stokes equations in general curvilinear coordinates, By way of application, two cavity flow problems and two internal flow problems are solved Comparisons with benchmark solutions or experimental data and (or) previous solutions employing staggered grids are made to validate the calculation procedure.