Recent Numerical and Algorithmic Advances within the Volume Tracking Framework for Modeling Interfacial Flows

A review of recent advances made in numerical methods and algorithmswithin the volume tracking framework is presented. The volume tracking method, also known as the volume-of-fluid method has become an established numerical approach to model and simulate interfacial flows. Its advantage is its strict mass conservation. However, because the interface is not explicitly tracked but captured via the material volume fraction on a fixed mesh, accurate estimation of the interface position, its geometric properties andmodeling of interfacial physics in the volume tracking framework remaindifficult. Several improvements have been made over the last decade to address these challenges. In this paper, the multimaterial interface reconstruction method via power diagram, curvature estimation via heights and mean values and the balanced-force algorithm for surface tension are highlighted.