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Journal Articles Journal of Fluid Mechanics Year : 2024

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

Abstract

We introduce a numerical strategy to study the evolution of two-dimensional 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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hal-04536467 , version 1 (08-04-2024)

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Alan Riquier, Emmanuel Dormy. Numerical study of a viscous breaking water wave and the limit of vanishing viscosity. Journal of Fluid Mechanics, 2024, 984, pp.R5. ⟨10.1017/jfm.2024.208⟩. ⟨hal-04536467⟩
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