Modeling Phase Transition and Metastable Phases

  • François James
  • Hélène Mathis
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 78)


We propose a model that describes phase transition including metastable phases present in the van der Waals Equation of State (EoS). We introduce a dynamical system that is able to depict the mass transfer between two phases, for which equilibrium states are both metastable and stable states, including mixtures. The dynamical system is then used as a relaxation source term in a isothermal two-phase model. We use a Finite Volume scheme (FV) 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.


Metastable State Helmholtz Free Energy Finite Volume Scheme Transfer Term Convective Part 
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The second author is supported by the project ANR-12-IS01-0004-01 GEONUM.


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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.MAPMOUniv. Orléans and CNRSOrléans Cedex 2France
  2. 2.LMJLUniv. NantesNantes Cedex 3France

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