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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/2509.04679 |
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| _version_ | 1866911138873081856 |
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| author | López-de-Bertodano, Alexander Clausse, Alejandro |
| author_facet | López-de-Bertodano, Alexander Clausse, Alejandro |
| contents | The 1-D Two-Fluid Model (TFM) promises a powerful and computationally cheap platform for simulating multi-fluid flow phenomena. However, runaway Kelvin-Helmholtz instabilities plagued previous approaches, necessitating aphysical regularizations. We demonstrate a novel physics-based approach, using a simple turbulent viscosity model to provide nonlinear stabilization, compatible with inertial coupling. We develop a set of analytical and numerical tools to investigate the resulting dynamics, including turbulent cascades, chaos, and formation of churn or slug flow. Our approach opens up a wide range of new capabilities for the TFM by capturing the Kelvin-Helmholtz instability physically. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04679 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlinear Stability in the Two-Fluid Model López-de-Bertodano, Alexander Clausse, Alejandro Fluid Dynamics The 1-D Two-Fluid Model (TFM) promises a powerful and computationally cheap platform for simulating multi-fluid flow phenomena. However, runaway Kelvin-Helmholtz instabilities plagued previous approaches, necessitating aphysical regularizations. We demonstrate a novel physics-based approach, using a simple turbulent viscosity model to provide nonlinear stabilization, compatible with inertial coupling. We develop a set of analytical and numerical tools to investigate the resulting dynamics, including turbulent cascades, chaos, and formation of churn or slug flow. Our approach opens up a wide range of new capabilities for the TFM by capturing the Kelvin-Helmholtz instability physically. |
| title | Nonlinear Stability in the Two-Fluid Model |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2509.04679 |