STABILIZED FINITE ELEMENT METHOD FOR INCOMPRESSIBLE VISCOUS FLUID FLOWS USING LOW-ORDER MIXED INTERPOLATIONS

Abstract

A stabilized finite element method based on the Q1/P0 element is presented for the analysis of incompressible viscous fluid flows. A presssure stabilization matrix (PSM) for the Q1/P0 element is introduced to avoid the occurrence of the checkerboard pressure mode. Also, SUPG formulation is employed to improve the numerical stability and accuracy. For the temporal discretization, a modified semi-implicit scheme (MSI) is applied. The pressure poisson equation system is solved by the Element-by-Element conjugate gradient method. The present method is shown to be an accurate and efficient tool for the analysis of incompressible viscous fluid flows.