Predictor-corrector preconditioned Newton-Krylov method for cavity flow

Abstract

The Newton-Krylov method is used to solve the incompressible Navier-Stokes equations. In the present study, two numerical schemes are considered for the method: employing the predictor-corrector method as preconditioner, and solving the equations without the preconditioner. The standard driven cavity flow is selected as the test problem to demonstrate the efficiency and the reliability of the present preconditioned method. It is found that the Newton-Krylov method becomes more efficient if combined with the preconditioner. © Springer-Verlag Berlin Heidelberg 2005.