A Variational Level-Set Approach for Two-Phase Incompressible Fluids

Thursday, November 1, 2001 - 2:00pm - 3:00pm
Keller 3-180
Steve Shkoller (University of California)
Using a simple variational principle, we derive a coupled Navier-Stokes phase-field model of two-phase incompressible fluids with a moving interface. The zero set of the phase-field is precisely the interface between the two fluids. Solutions of our model converge to the Navier-Stokes equations with the traditional kinetic and kinematic interface conditions, whenever the interface can initially be characterized by a distance function (when the interface is not a breaking wave). After discussing analytic properties of the solutions, we shall present results of a linear stability analysis of an idealized ocean-air interface problem. This is joint work with Chun Liu and Glenn Ierley.