One main issue in the analysis or simulation of immiscible two phase flows is the description of the moving interface between the two phases, especially when this interface has several connected components. In the case of bubbly liquids, in which the gas bubbles do not deviate much from simple geometries (spheres, ellipsoids), one may try to reduce the complexity of the model by imposing shape constraints on the bubbles through their evolution. This imposes in turn to relax the usual constraints at the gas/liquid interface. We shall present a method to determine the appropriate relaxed interface conditions, based on a least action principle. This is joint work with Cosmin Burtea.
By Matthew Juniper
By Sergey Gavrilyuk
By David Lannes
