An all-topology two-fluid model for two-phase flows derived through Hamilton’s stationary action principle
Abstract We present a novel multi-fluid model for compressible two-phase flows. The model is derived through a newly developed stationary action principle framework. It is fully closed and introduces a new interfacial quantity, the interfacial work. The closures for the interfacial quantities are provided by the variational principle. They are physically sound and well-defined for all types of flow topologies. The model is shown to be hyperbolic, symmetrizable, and admits an entropy conservation law. Its non-conservative products yield uniquely defined jump conditions which are provided. As such, it allows for the proper treatment of weak solutions. In the multi-dimensional setting, the model presents lift forces which are discussed. The model constitutes a sound basis for future numerical simulations.
Authors
- Marc Massot (ORCID: https://orcid.org/0000-0001-8823-7667)
- Samuel Kokh (ORCID: https://orcid.org/0000-0001-8685-4522)
- Giuseppe Orlando (ORCID: https://orcid.org/0000-0002-7119-4231)
- Ward Haegeman
Institutions
- Université Paris-Panthéon-Assas (FR)
- Centre National de la Recherche Scientifique (FR)
- École Polytechnique (FR)
- Université de Versailles Saint-Quentin-en-Yvelines (FR)
- Commissariat à l'Énergie Atomique et aux Énergies Alternatives (FR)
- Université Paris-Saclay (FR)
- Office National d'Études et de Recherches Aérospatiales (FR)
- Centre de Mathématiques Appliquées de l'École polytechnique (FR)
- Maison de la Simulation (FR)
- Centre Inria de Saclay (FR)
- CEA Paris-Saclay (FR)
Publication Details
- Journal
- Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
- Published
- 2026-03-15
- DOI
- https://doi.org/10.1098/rspa.2025.0835
- Primary Topic
- Hydrocarbon exploration and reservoir analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Office National d'études et de Recherches Aérospatiales