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Updated: Mar 25, 2026

Preparation of Free-Surface Hyperbolic Water Vortices
Published on: July 28, 2023
Nonlinear Generation of Vorticity by Surface Waves
S V Filatov1, V M Parfenyev2,3, S S Vergeles2,3
1Institute of Solid State Physics, Chernogolovka, 2 Academician Ossipyan str., 142432 Moscow Region, Russia.
Abstract:
We demonstrate that waves excited on a fluid surface produce local surface rotation owing to hydrodynamic nonlinearity. We examine theoretically the effect and obtain an explicit formula for the vertical vorticity in terms of the surface elevation. Our theoretical predictions are confirmed by measurements of surface motion in a cell with water where surface waves are excited by vertical and harmonic shaking the cell. The experimental data are in good agreement with the theoretical predictions. We discuss physical consequences of the effect.
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