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arXiv · 2403.03851

Numerical study of a viscous breaking water wave and the limit of vanishing viscosity

Alan Riquier·Emmanuel Dormy
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Abstract

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.

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Alan Riquier, Emmanuel Dormy. 2024-03-06. Numerical study of a viscous breaking water wave and the limit of vanishing viscosity. https://doi.org/10.1017/jfm.2024.208

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