| Issue |
ESAIM: ProcS
Volume 78, 2025
Sixth Workshop on Compressible Multiphase Flows: Derivation, Closure laws, Thermodynamics
|
|
|---|---|---|
| Page(s) | 58 - 79 | |
| DOI | https://doi.org/10.1051/proc/202578058 | |
| Published online | 10 December 2025 | |
Relaxation process in a hybrid two-phase flow model★
EDF Lab Chatou, 6 quai Watier, 78400, Chatou, France
Institut de Mathématiques de Marseille, Technopôle Château-Gombert 39, rue Frédéric Joliot-Curie 13453 Marseille Cedex 13, France
* e-mail: jean-marc.herard@edf.fr
** e-mail: guillaume.jomee@cea.fr
This article focuses on a hybrid three-field two-phase flow model. This model aims at simulating the flow of a mixture of liquid water and its vapor, together with some non-condensable gas. The properties of the model are recalled in the first section. Afterwards, some new properties concerning the preservation of positivities of phasic pressures and phasic densities are given, considering stiffened gas Equation of State (EoS). Then, the -expected- pressure, temperature and velocity relaxation effects are investigated in a general framework. Appendices A and B conclude the article. They respectively detail the relaxation matrix coefficients, and two algorithms for computing approximate solutions of the systems accounting for temperature and pressure relaxation effects.
© EDP Sciences, SMAI 2025
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