Numerical study of a viscous breaking water wave and the limit of vanishing viscosity
arXiv:2403.03851 · doi:10.1017/jfm.2024.208
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.
12 pages, 8 figures, accepted in the Journal of Fluid Mechanics