STREAMLINE UPWIND SCHEME FOR CONTROL-VOLUME FINITE ELEMENTS, PART II. IMPLEMENTATION AND COMPARISON WITH THE SUPG FINITE-ELEMENT SCHEME

Abstract

The streamline upwind control-volume (SUCV) finite-element scheme is compared to the streamline upwind Petrov Galerkin (SUPG) finite-element scheme for a range of steady-state and transient test problems. The results indicate that for steady-state problems, the two schemes perform at the same level; while for transient convective problems, the SUPG scheme is slightly better. In addition, a qualitative performance comparison is made with previous control-volume finite-element schemes. These comparisons indicate that the performance of the SUCV scheme is competitive.