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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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Abstract

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
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.
Divisions: Faculty of Engineering and Physical Sciences > Mathematics
Depositing User: Mr Adam Field
Date Deposited: 27 May 2010 14:41
Last Modified: 07 Nov 2013 14:11
URI: http://epubs.surrey.ac.uk/id/eprint/1441

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