Dealing with pressure: FEM solution strategies for the pressure in the time-dependent Navier-Stokes equations
This paper presents a survey of solution methods for calculating the pressure in the time-dependent Navier-Stokes equations. The primary focus is on the treatment of the pressure-Poisson equation deriving from index-1 DAE formulations of the Navier-Stokes equations. Based on extensive operational experience with a variety of solution strategies, the combination of a stabilized pressure-Poisson operator with an A-conjugate projection and SSOR preconditioned conjugate gradient method has been found to yield the overall best performance relative to the resolve cost of a high performance direct solver. Copyright (C) 2002 John Wiley Sons, Ltd.
navier-stokes pressure-poisson stabilization a-conjugate projection projection method approximate projection