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.
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.
|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|
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