A SIMPLE PRESSURE STABILIZATION FOR A SIMPLE-LIKE EQUAL-ORDER FEM ALGORITHM

Abstract

A simple pressure stabilization technique is presented, consisting of filtering spurious pressure oscillations by a partial smoothing performed at the beginning of each time step. Using the method of approximate factorization to interpret the fractional step scheme, it is also shown that the proposed technique entails the implicit introduction of a stabilization term into the pressure equation and of another term into the momentum equation, which produces a moderately diffusive effect.