Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Approximate projection methods and time integration stability

C.D. Moena,*, S.P. Dominob, G.J. Wagnera
aSandia National Laboratories, Livermore, CA 94550, USA bSandia National Laboratories, Albuquerque, NM 87185, USA
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ABSTRACT
We examine a family of approximate projection methods for colocated, unstructured finite volume methods for the incompressible Navier-Stokes equations. Some combinations of pressure stabilization and projection time scale lead to unstable time integration. We explore the stability limits using numerical experiments.

Keywords:  Approximate projection; Colocated, finite-volume; Incompressible Navier-Stokes equation
* Corresponding author. Tel.: + 1 925 294 3709; Fax: + 1 925 294 3847; E-mail: cmoen@sandia.gov