STREAMLINE UPWIND SCHEME FOR THE SEGREGATED FORMULATION OF THE NAVIER-STOKES EQUATION

Abstract

A finite-element method has been developed that combines the segregated velocity-pressure equal-order formulation of the Navier-Stokes equation originated from the SIMPLE algorithm and the streamline upwind Petrov-Galerkin weighted residual method. To verify the proposed finite-element method, driven cavity flow and backward-facing step flow have been considered. The present results are compared with existing experimental results using laser Doppler velocimetry and numerical results using the finite-difference method and the velocity-pressure integrated, mixed-order interpolation method. It has been shown that the present method gives accurate results with less memory and execution time than the conventional finite-element method.