Irrotationality of Water Waves and Topography

Autor:	Riquier, Alan, Dormy, Emmanuel
Rok vydání:	2024
Předmět:	Physics - Fluid Dynamics Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	Most theoretical and numerical results regarding water waves rely on the irrotationality of the flow in order to simplify significantly the mathematical formulation. This assumption is rarely discussed in details. In this work we investigate the well-foundedness of this important hypothesis using numerical simulations of the free-surface Navier-Stokes equation, using a scheme introduced in Riquier and Dormy (2024). We show that, in the presence of an irregular bottom, a gravity wave of non-negligible height can effectively destabilise the bottom boundary layer, stripping off vortices into the main flow. As a vortex approaches the surface the solution of the Navier-Stokes flow in the limit of vanishing viscosity is shown to differ from the inviscid Euler solution. Comment: 9 pages, 8 figures, submitted
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.09291 Zobrazit plný text záznamu View this record from Arxiv