A conservative two-phase flow model with a nonlinear degenerate diffusion
This paper is motivated by the need to model the dynamics of liquid–vapor flows involving phase transitions in heat exchangers. In the low Mach number asymptotic limit, we derive a system of 1D conservation laws with heat transfers causing phase change, with a degenerate and nonlinear thermal diffusion coefficient. This degeneracy induces discontinuities on the solution, both on the enthalpy and the velocity. We provide explicit steady and travelling wave solutions, and derive suitable numerical schemes able to capture the moving discontinuities.
Authors
- Cédric Galusinski
- Gloria Faccanoni (ORCID: https://orcid.org/0000-0002-6453-0882)
- Bérénice Grec (ORCID: https://orcid.org/0000-0003-2174-3738)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université de Toulon (FR)
- Université Paris Cité (FR)
- Département mathématiques, informatique, sciences de la donnée et technologies du numérique (FR)
- Mathématiques Appliquées à Paris 5 (FR)
Publication Details
- Journal
- Mathematical Modelling of Natural Phenomena
- Published
- 2025-11-21
- DOI
- https://doi.org/10.1051/mmnp/2025031
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Centre National de la Recherche Scientifique
- Bureau de Recherches Géologiques et Minières