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Pré-Publication, Document De Travail Année : 2015

A relaxation model for liquid-vapor phase change with metastability

Résumé

We propose a model that describes phase transition including metastable states present in the van der Waals Equation of State. From a convex optimization problem on the Helmoltz free energy of a mixture, we deduce a dynamical system that is able to depict the mass transfer between two phases, for which equilibrium states are either metastable states, stable states or a coexistent state. The dynamical system is then used as a relaxation source term in an isothermal 4x4 two-phase model. We use a Finite Volume scheme that treats the convective part and the source term in a fractional step way. Numerical results illustrate the ability of the model to capture phase transition and metastable states.
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Dates et versions

hal-01178947 , version 1 (21-07-2015)
hal-01178947 , version 2 (14-03-2016)

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Francois James, Hélène Mathis. A relaxation model for liquid-vapor phase change with metastability. 2015. ⟨hal-01178947v1⟩
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