NUMERICAL SOLUTION OF NAVIER-STOKES EQUATIONS WITH NONSTAGGERED GRIDS USING FINITE ANALYTIC METHOD

Abstract

A new method referred to here as the momentum weighted interpolation method (MWIM) is introduced to solve the incompressible Navier-Stokes equations with nonstaggered grids. This new method is compared to other methods that employ nonstaggered and staggered grids, in terms of computational effort, number of iterations, and accuracy. It is found that MWIM with nonstaggered grids is as accurate as the staggered grid methods, is easier to implement, and is computationally more efficient. The finite analytic method is used to discretize the governing equations of the fluid flow.