Preconditioning Strategies for Models of Incompressible Flow

We describe some new preconditioning strategies for handling the algebraic systems of equations that arise from discretization of the incompressible Navier–Stokes equations. We demonstrate how these methods adapt in a straightforward manner to decisions on implicit or explicit time discretization, explore their use on a collection of benchmark problems, and show how they relate to classical techniques such as projection methods and SIMPLE.