An all-topology two-fluid model for two-phase flows derived through Hamilton's Stationary Action Principle
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912973323239424 |
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| author | Haegeman, Ward Orlando, Giuseppe Kokh, Samuel Massot, Marc |
| author_facet | Haegeman, Ward Orlando, Giuseppe Kokh, Samuel Massot, Marc |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_26298 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An all-topology two-fluid model for two-phase flows derived through Hamilton's Stationary Action Principle Haegeman, Ward Orlando, Giuseppe Kokh, Samuel Massot, Marc Analysis of PDEs 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. |
| title | An all-topology two-fluid model for two-phase flows derived through Hamilton's Stationary Action Principle |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2509.26298 |