A five equation reduced model for compressible two phase flow problems

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Modelling phase transition in metastable liquids: application to cavitating and flashing flows (2008, background): “Its ability to solve interface problems with compressible fluids was demonstrated in Murrone & Guillard (2004) , Perigaud & Saurel (2005) and Petitpas et al. (2007).”
FORCE schemes on unstructured meshes II: Non-conservative hyperbolic systems (2010, methodology): “For the interface velocity and pressure uI and pI we choose uI = u1 and pI = p2 respectively, according to [3,27], although other choices are possible, see e.”
Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures (2009, methodology): “Determination of thermodynamic flow variables in these zones is achieved on the basis of multiphase flow theory ([40,4,42,35,3,43,37]).”
Numerical simulation of cavitating flows with homogeneous models (2009, background): “It is composed of four conservation laws plus a non conservative equation for the void ratio (see for example [33]).”