A mixed finite element solver for liquid–liquid impacts

Abstract

SUMMARYThe impact of a liquid column on a liquid surface initially at rest is numerically modelled to describe air entrapment and bubble formation processes. The global quantities of interest are evaluated in the framework of the potential theory. The numerical method couples a potential ow solver based on a Mixed Finite Element Method with an Ordinary Di erential Equation solver discretized by the CrankNicholson scheme. The capability of the method in solving liquid-liquid impacts is illustrated in two numerical experiments taken from literature and a good agreement with the literature data is obtained.