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Superharmonic instability, homoclinic torus bifurcation and water-wave breaking

Bridges, T. J. (2004) Superharmonic instability, homoclinic torus bifurcation and water-wave breaking Journal of Fluid Mechanics, 505. pp. 153-162.


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The superharmonic instability is pervasive in large-amplitude water-wave problems and numerical simulations have predicted a close connection between it and crest instabilities and wave breaking. In this paper we present a nonlinear theory, which is a generic nonlinear consequence of superharmonic instability. The theory predicts the nonlinear behaviour witnessed in numerics, and gives new information about the nonlinear structure of large-amplitude water waves, including a mechanism for noisy wave breaking.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Bridges, T.
Date : 21 April 2004
Additional Information : Published in the Journal of Fluid Mechanics, Vol. 505, pp. 153-162. © 2004 Cambridge University Press. Reprinted with permission. Click here to visit the journal website.
Depositing User : Mr Adam Field
Date Deposited : 27 May 2010 14:41
Last Modified : 06 Jul 2019 05:06

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