Interfaces, Detonation Waves, Cavitation and the Multiphase Godunov Method

We have recently proposed a compressible two-phase unconditionally hyperbolic model able to deal with a wide range of applications: interfaces between compressible materials, shock waves in condensed multiphase mixtures, homogeneous two-phase flows (bubbly and droplet flows) and cavitation in liquids. Here we generalise the formulation to an arbitrary number of fluids, with mass and energy transfers, and the associated Godunov method is extended to multidimensions. This is necessary for modelling interaction of detonation waves in multiphase mixtures with interfaces separating the energetic material from inert ones. Thus, the model is able to solve detonation problems without mixture equation of state and dynamic interface creation for cavitating flows in multidimensions.