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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.13480 |
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| _version_ | 1866912432637607936 |
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| author | Puppo, Gabriella Rey, Thomas Tenna, Tommaso |
| author_facet | Puppo, Gabriella Rey, Thomas Tenna, Tommaso |
| contents | Starting from the multi-species Boltzmann equation for a gas mixture, we propose the formal derivation of the isentropic two-phase flow model introduced in [Romenski, E., and Toro, E. F., Comput. Fluid Dyn. J., 13 (2004)]. We examine the asymptotic limit as the Knudsen numbers approach zero, in a regime characterized by resonant intra-species collisions, where interactions between particles of the same species dominate. This specific regime leads to a multi-velocity and multi-pressure hydrodynamic model, enabling the explicit computation of the coefficients for the two-phase macroscopic model. Our derivation also accounts for the inclusion of the evolution of the volume fraction, which is a key variable in many macroscopic multiphase models |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13480 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Formal derivation of an isentropic two-phase flow model from the multi-species Boltzmann equation Puppo, Gabriella Rey, Thomas Tenna, Tommaso Analysis of PDEs Mathematical Physics 82B40, 76T10, 76P05 Starting from the multi-species Boltzmann equation for a gas mixture, we propose the formal derivation of the isentropic two-phase flow model introduced in [Romenski, E., and Toro, E. F., Comput. Fluid Dyn. J., 13 (2004)]. We examine the asymptotic limit as the Knudsen numbers approach zero, in a regime characterized by resonant intra-species collisions, where interactions between particles of the same species dominate. This specific regime leads to a multi-velocity and multi-pressure hydrodynamic model, enabling the explicit computation of the coefficients for the two-phase macroscopic model. Our derivation also accounts for the inclusion of the evolution of the volume fraction, which is a key variable in many macroscopic multiphase models |
| title | Formal derivation of an isentropic two-phase flow model from the multi-species Boltzmann equation |
| topic | Analysis of PDEs Mathematical Physics 82B40, 76T10, 76P05 |
| url | https://arxiv.org/abs/2506.13480 |