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Type: Journal article
Title: On the free-surface flow of very steep forced solitary waves
Author: Wade, S.
Binder, B.
Mattner, T.
Denier, J.
Citation: Journal of Fluid Mechanics, 2014; 739:1-21
Publisher: Cambridge University Press
Issue Date: 2014
ISSN: 0022-1120
Statement of
Stephen L. Wade, Benjamin J. Binder, Trent W. Mattner and James P. Denier
Abstract: The free-surface flow of very steep forced and unforced solitary waves is considered. The forcing is due to a distribution of pressure on the free surface. Four types of forced solution are identified which all approach the Stokes-limiting configuration of an included angle of 120° and a stagnation point at the wave crests. For each type of forced solution the almost-highest wave does not contain the most energy, nor is it the fastest, similar to what has been observed previously in the unforced case. Nonlinear solutions are obtained by deriving and solving numerically a boundary integral equation. A weakly nonlinear approximation to the flow problem helps with the identification and classification of the forced types of solution, and their stability.
Keywords: channel flow; solitary waves; surface gravity waves
Rights: © Cambridge University Press 2013
RMID: 0020136441
DOI: 10.1017/jfm.2013.590
Appears in Collections:Mathematical Sciences publications

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