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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.5

ISSN Печать: 2152-5102
ISSN Онлайн: 2152-5110

Выпуски:
Том 46, 2019 Том 45, 2018 Том 44, 2017 Том 43, 2016 Том 42, 2015 Том 41, 2014 Том 40, 2013 Том 39, 2012 Том 38, 2011 Том 37, 2010 Том 36, 2009 Том 35, 2008 Том 34, 2007 Том 33, 2006 Том 32, 2005 Том 31, 2004 Том 30, 2003 Том 29, 2002 Том 28, 2001 Том 27, 2000 Том 26, 1999 Том 25, 1998 Том 24, 1997 Том 23, 1996 Том 22, 1995

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

Краткое описание

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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