Stability of preconditioned Navier-Stokes equations associated with a cavitation model

The present work focuses on the numerical stability of the Navier-Stokes equations associated to the barotropic state law. Fourier footprint representations are applied to several two-dimensional non-cavitating and cavitating flow field configurations, and the influence of the numerical and physical parameters on the stability is investigated. The influence of the preconditioner is also discussed: a modification is proposed in the two-phase areas, and its effect is tested in a two-dimensional Venturi type section flow configuration. A significant improvement is obtained concerning both the convergence level and speed.