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.
|Divisions :||Faculty of Engineering and Physical Sciences > Mathematics|
|Date :||1 January 2004|
|Identification Number :||10.1017/S0022112004008432|
|Additional Information :||Bridges, T. J. (2004) Superharmonic Instability, Homoclinic Torus Bifurcation and Water-Wave Breaking. <i>Journal of Fluid Mechanics,</i> Vol. 505, pp. 153-162. &copy 2004 Cambridge University Press Click <a href=http://www.jfm.damtp.cam.ac.uk/ >here</a> to visit the journal's website.|
|Depositing User :||Mr Adam Field|
|Date Deposited :||27 May 2010 14:41|
|Last Modified :||07 Nov 2013 14:12|
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