Superharmonic instability, homoclinic torus bifurcation and water-wave breaking

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

PDF fulltext.pdf Download (0b)

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:	28 Sep 2012 09:50
URI:	http://surrey.eprints.org/id/eprint/1441

Actions (login required)

View Item