METHODS FOR COMPUTATION OF MOVING BOUNDARIES AND INTERFACES

We highlight some of the interface-tracking and interface-capturing techniques we developed for finite element computation of flow problems with moving boundaries and interfaces. Both classes of techniques are based on stabilized formulations. The interface- tracking techniques are based on the Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) formulation, where the mesh moves to track the interface. The interface- capturing techniques, developed primarily for free-surface and two-fluid interface flows, are formulated typically over non-moving meshes, using an advection equation in addition to the flow equations. The advection equation governs the evolution of an interface func- tion that marks the location of the interface. We also highlight some of the methods we developed to increase the scope and accuracy of these two classes of techniques.

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