Keywords: Finite element method, Incompressible flow, Predictor–corrector scheme

Abstract: We apply a predictor-multicorrector scheme to thePressure Stabilized and Streamline Upwind Petrov-Galerkin (PSPG and SUPG) stabilized incompressible Navier-Stokes equations, solving separate systems for the velocity and pressure. The advective terms are treatedexplicitly. The algorithm is tested against the analytical solution for the Taylor-Green vortices case and shown to be of second order accuracy. We analyze the performance and compare with a fully coupled, implicit solution technique. The semi-implicit predictor-multicorrector scheme proves to be advantageous when small time steps are required due to the flow physics.