Superharmonic instability, homoclinic torus bifurcation and water-wave breaking
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Bridges, Thomas 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 |
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| 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 |
| ID Code: | 1441 |
| Deposited By: | Mr Adam Field |
| Deposited On: | 27 May 2010 15:41 |
| Last Modified: | 28 Sep 2012 10:50 |
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