Modeling of Moving Interface Problems with the ETILT

In recent years, much effort has been devoted to development of numerical formulations for analysis of moving boundaries and interfaces. The Edge-Tracked Interface Locator Technique (ETILT) was introduced to better enforce mass balance and to yield a sharper representation of the interface. In this technique the interface is defined by a combination of node-based and edge-based representations of an interface function. The time-evolution of the interface function is governed by a time-dependent advection equation. The mass conservation is accomplished with the edge-based representation of the interface function. The fluid densities and viscosities are also calculated with this edge-based representation. In this work, different algorithms for the edge-to-node projection are described, and these algorithms are tested in computation of the collapse of a liquid column.