A multiphase model with internal degrees of freedom: application to shock–bubble interaction

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Modelling phase transition in metastable liquids: application to cavitating and flashing flows (2008, unknown): “The ‘parent’ model The starting point of the present analysis is the Baer & Nunziato (1986) model with symmetric closure relations (Saurel et al. 2003; Chinnayya, Daniel & Saurel 2004): ∂α1 ∂t + uI · ∇α1 = μ(p1 − p2), ∂α1ρ1 ∂t + div (α1ρ1u1) = 0, (3.1a, b) ∂α1ρ1u1 ∂t + div (α1ρkuk ⊗ uk) + ∇(α1p1) =…”
Simple and efficient relaxation methods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures (2009, background): “Determination of thermodynamic flow variables in these zones is achieved on the basis of multiphase flow theory ([40,4,42,35,3,43,37]).”
Diffuse-Interface Capturing Methods for Compressible Two-Phase Flows (2018, methodology): “The nonconservative term p I ∇ α k represents the pressure force where the interfacial pressure acting inside the droplet or bubble cloud is deﬁned by The expressions above were obtained by Saurel et al. (2003).”
Modelling evaporation fronts with reactive Riemann solvers (2005, methodology): “The discrete equations method (DEM) [2, 29 ,8] fulfils simultaneously these conditions.”