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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimir: 2152-5102
ISSN On-line: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v23.i3-4.90
pages 256-270

Two-Dimensional Vortical Gravity Waves near the Surface of a Deep Liquid

V. P. Lukomskiy
Physics Institute, Ukrainian Academy of Sciences Kiev, Ukraine
Yu. V. Sedletskiy
Physics Institute, Ukrainian Academy of Sciences Kiev, Ukraine

RESUMO

Potential and locally-swirled two-dimensional flows of an ideal ponderable fluid with a free surface are investigated within the framework of the slightly-nonlinear theory. A model nonlinear integro-differential equation is obtained for the limiting complex potential of an infinitely deep fluid. New types of steady-state locally-swirled flow with multipole structure of the velocity distribution near the free surface are found. The corresponding exact solutions of the model equations consist of free solitary gravity waves with vortex filaments oriented across the direction of motion and highly nonmonotone reduction of amplitude with length. Solutions describing solitary waves with peaked crests, the inception of which stems from the local swirl in the immediate proximity of the crest are analyzed in detail. A new model for explaining the manner of formation of various anomalous states of the sea surface is suggested.


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