A multiphase model for compressible flows with interfaces, shocks, detonation waves and cavitation

By Richard Saurel, Olivier LeMetayer. Journal of Fluid Mechanics, 2001

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Discrete equations for physical and numerical compressible multiphase mixtures (2003, methodology): “Contrarily to the previous calculations, we do not use any relaxation procedure as in [24], nor solve the ODE system (39).”
Modelling phase transition in metastable liquids: application to cavitating and flashing flows (2008, background): “Its ability to solve interface problems as well as fluid mixtures with several velocities was demonstrated in Saurel & Abgrall (1999), Saurel & Le Metayer (2001) and Saurel, Gavrilyuk & Renaud (2003).”
Numerical simulation of cavitating flows with homogeneous models (2009, methodology): “Such models have been used for inviscid high-speed cavitating applications and two-phase Riemann problems [41,58].”
A multiphase model with internal degrees of freedom: application to shock–bubble interaction (2003, methodology): “…case when the internal inertia of the dispersed phase (bubble pulsation) and the internal fluid rotation (‘turbulent effects’ in a generic sense) are negligible (Stewart & Wendroff 1984; Baer & Nunziato 1986; Kapila et al. 1997; Saurel & Abgrall 1999a; Kapila et al. 2001; Saurel & LeMetayer 2001).”
Modelling detonation waves in heterogeneous energetic materials (2004, methodology): “The other approach is based on a multiphase modelling of the entire flow [2,33,34].”