Numerical study of a viscous breaking water wave and the limit of vanishing viscosity
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913335331520512 |
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| author | Riquier, Alan Dormy, Emmanuel |
| author_facet | Riquier, Alan Dormy, Emmanuel |
| contents | We introduce a numerical strategy to study the evolution of 2D water waves in the presence of a plunging jet. The free-surface Navier-Stokes solution is obtained with a finite but small viscosity. We observe the formation of a surface boundary layer where the vorticity is localised. We highlight convergence to the inviscid solution. The effects of dissipation on the development of a singularity at the tip of the wave is also investigated by characterising the vorticity boundary layer appearing near the interface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03851 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Numerical study of a viscous breaking water wave and the limit of vanishing viscosity Riquier, Alan Dormy, Emmanuel Fluid Dynamics Mathematical Physics We introduce a numerical strategy to study the evolution of 2D water waves in the presence of a plunging jet. The free-surface Navier-Stokes solution is obtained with a finite but small viscosity. We observe the formation of a surface boundary layer where the vorticity is localised. We highlight convergence to the inviscid solution. The effects of dissipation on the development of a singularity at the tip of the wave is also investigated by characterising the vorticity boundary layer appearing near the interface. |
| title | Numerical study of a viscous breaking water wave and the limit of vanishing viscosity |
| topic | Fluid Dynamics Mathematical Physics |
| url | https://arxiv.org/abs/2403.03851 |