Interface-Tracking, Interface-Capturing And Enhanced Solution Techniques

Abstract

We describe the interface-tracking and interface-capturing techniques we developed
in recent years for computation of flows with moving boundaries and interfaces.
The interface-tracking techniques are based on the Deforming-Spatial-Domain/Stabilized
Space-Time formulation, where the mesh moves to track the interface. The interfacecapturing
techniques were developed for two-fluid flows. They are based on the stabilized
formulation, over typically non-moving meshes, of both the flow equations and an advection
equation. The advection equation governs the time-evolution of an interface function
marking the interface location. We also describe some of the additional methods developed
to increase the scope and accuracy of these two classes of techniques. Among them are
the Enhanced-Discretization Interface-Capturing Technique (EDICT), which was developed
to increase the accuracy in capturing the interface, and extensions and offshoots of
the EDICT.