Interfacial waves from pressure forcing: revisiting classical theories from an IVP perspective
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866916005434884096 |
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| author | Kadari, Vinod Kumar Yewale, Nikhil Farsoiya, Palas Kumar Mayya, Y. S. Dasgupta, Ratul |
| author_facet | Kadari, Vinod Kumar Yewale, Nikhil Farsoiya, Palas Kumar Mayya, Y. S. Dasgupta, Ratul |
| contents | A localised overpressure translating at a uniform speed greater than a critical value acts at the interface between two deep fluid layers with different densities. We analyse the resulting wave patterns using an initial-value problem formulation within the linearised, inviscid, potential flow framework. The steady-state interface exhibits short capillary waves ahead of the forcing and long gravity waves behind it, arising from an asymmetric cancellation of Fourier components in the far field. The time-dependent part of the solution, decaying algebraically with time, plays a crucial role in this mechanism. This contrasts with classical steady approaches, which require additional conditions to select a unique solution. We extend this approach to a two-fluid interface and validate the predictions against nonlinear simulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_12254 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Interfacial waves from pressure forcing: revisiting classical theories from an IVP perspective Kadari, Vinod Kumar Yewale, Nikhil Farsoiya, Palas Kumar Mayya, Y. S. Dasgupta, Ratul Fluid Dynamics A localised overpressure translating at a uniform speed greater than a critical value acts at the interface between two deep fluid layers with different densities. We analyse the resulting wave patterns using an initial-value problem formulation within the linearised, inviscid, potential flow framework. The steady-state interface exhibits short capillary waves ahead of the forcing and long gravity waves behind it, arising from an asymmetric cancellation of Fourier components in the far field. The time-dependent part of the solution, decaying algebraically with time, plays a crucial role in this mechanism. This contrasts with classical steady approaches, which require additional conditions to select a unique solution. We extend this approach to a two-fluid interface and validate the predictions against nonlinear simulations. |
| title | Interfacial waves from pressure forcing: revisiting classical theories from an IVP perspective |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2605.12254 |