Almost extreme waves

نویسندگان

چکیده

Numerically computed with high accuracy are periodic traveling waves at the free surface of a two dimensional, infinitely deep, and constant vorticity flow an incompressible inviscid fluid, under gravity, without effects tension. Of particular interest is angle fluid almost extreme wave makes horizontal. found are: (i) boundary layer where rises sharply from $0^\circ$ crest to local maximum, which converges $30.3787\dots^\circ$ as amplitude increases toward that wave, independently vorticity, (ii) outer region descends trough for negative while it greater than $30^\circ$, then falls large positive (iii) transition oscillates about resembling Gibbs phenomenon. Numerical evidence suggests frequency oscillations become independent profile approaches form.

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ژورنال

عنوان ژورنال: Journal of Fluid Mechanics

سال: 2023

ISSN: ['0022-1120', '1469-7645']

DOI: https://doi.org/10.1017/jfm.2022.1047