A scalable projection method for the unsteady
incompressible Navier-Stokes equations

Christopher K Newman
PO Box 5800, MS 0382, Sandia National Laboratories
Albuquerque NM 87185-0835
cnewman@sandia.gov
Richard B Lehoucq

We discuss a high order projection scheme for time integration of the incompressible Navier-Stokes equations. The method is based on a projection onto a divergence-free subspace interleaved with a Krylov based exponential time integration. This semi-explicit approach provides stability and high order accuracy without the need for a nonlinear iteration. We present numerical examples to support our claims and provide comparison against a Crank Nicolson scheme.