A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations

A relaxed splitting preconditioner based on matrix splitting is introduced in this paper for linear systems of saddle point problem arising from numerical solution of the incompressible 822 Navier-Stokes equations.Spectral analysis of the preconditioned matrix is presented, and numerical experiments are carried out to illustrate the convergence behavior of the Mens athletic-sweaters preconditioner for solving both steady and unsteady incompressible flow problems.