2014/02/06 by François James, James, François, Hélène Mathis +1
Computer Science · Materials Science · Physics and Astronomy · #Analysis of PDEs (math.AP) #Classical Physics (physics.class-ph) #FOS: Mathematics #FOS: Physical sciences #Material Dynamics and Properties #Nonlinear Dynamics and Pattern Formation #Numerical Analysis (math.NA) #Theoretical and Computational Physics
paper · doi:10.48550/arxiv.1402.1435
openalex publication_date 2014/02/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.