A compressible single-temperature conservative two-phase model with phase transitions

G. La Spina*, M. de' Michieli Vitturi, E. Romenski

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    Abstract

    A model for multidimensional compressible two-phase flow with pressure and velocity relaxations based on the theory of thermodynamically compatible system is extended to study liquid-gas flows with cavitation. The model assumes for each phase its own pressure and velocity, while a common temperature is considered. The governing equations form a hyperbolic system in conservative form and are derived through the theory of a thermodynamically compatible system. The phase pressure-equalizing process and the interfacial friction are taken into account in the balance laws for the volume fractions of one phase and for the relative velocity by adding two relaxation source terms, while the phase transition is introduced into the model considering in the balance equation for the mass of one phase the relaxation of the Gibbs free energies of the two phases. A modification of the central finite-volume Kurganov-Noelle-Petrova method is adopted in this work to solve the homogeneous hyperbolic part, while the relaxation source terms are treated implicitly. In order to investigate the effect of the mass transfer in the solution, a 1D cavitation tube problem is presented. In addition, two 2D numerical simulations regarding cavitation problem are also studied: a cavitating Richtmyer-Meshkov instability and a laser-induced cavitation problem.

    Original languageEnglish
    Pages (from-to)282-311
    Number of pages30
    JournalInternational Journal for Numerical Methods in Fluids
    Volume76
    Issue number5
    DOIs
    Publication statusPublished - 20 Oct 2014

    Keywords

    • Compressible flow
    • Finite volume
    • Hyperbolic
    • Partial differential equations
    • Phase change
    • Two-phase flows

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