Calculation Of The Stabilization Parameters In Supg And Pspg Formulations.

Abstract

We describe how we determine the stabilization parameters used in the stabilized
finite element formulations in fluid mechanics. These formulations include the
interface-tracking and interface-capturing techniques we developed for computation of flow
problems with moving boundaries and interfaces. The stabilized formulations we focus
on are the streamline-upwind/Petrov-Galerkin (SUPG) and pressure-stabilizing/Petrov-
Galerkin (PSPG) methods. The stabilization parameters described here are designed for
the semi-discrete and space-time formulations of the advection-diffusion equation and the
Navier-Stokes equations of incompressible flows.