Numerous models have been proposed in the literature to include phase change into numerical simulations of two-phase flows. This review paper presents the modeling options that have been taken in order to obtain a model for violent separated flows with application to sloshing wave impacts. A relaxation model based on linear non-equilibrium thermodynamics has been chosen to compute the rate of phase change. The integration in the system of partial differential equations is done through a non-conservative advection term. For each of these modelling choices, some alternative models from the literature are presented and discussed. The theoretical framework for all phase change model (conservation equations and entropy growth) is also summarized.

Phase change modeling, two-phase flow, non-equilibrium thermodynamics, compressible flow, hyperbolic system of conservation laws.