On discrete projection methods for the incompressible Navier-Stokes equations: An algorithmical approach (Q1371688)

We derive a general class of iteration schemes for the incompressible Navier-Stokes equations which contains fully coupled solution techniques as well as operator splitting/projection methods. We combine the advantages of both, namely accuracy/stability and efficiency, and obtain a special form of discrete projection schemes. In combination with a nonlinear iteration of quasi-Newton type, one may use these schemes analogously to the well-known pure projection schemes, or apply them as preconditioners in a defect correction approach to obtain the fully coupled Galerkin solution. Our results are confirmed by comparative numerical tests for both types of schemes.