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Nonlinear dispersion for ocean surface waves

Published online by Cambridge University Press:  16 November 2018

Raphael Stuhlmeier Open the ORCID record for Raphael Stuhlmeier [Opens in a new window]  and
Michael Stiassnie
Raphael Stuhlmeier*
Affiliation:
Centre for Mathematical Sciences, University of Plymouth, Drake Circus, Plymouth PL4 8AA, UK
Michael Stiassnie
Affiliation:
Faculty of Civil and Environmental Engineering, Technion, Haifa 32000, Israel
*
†Email address for correspondence: raphael.stuhlmeier@plymouth.ac.uk
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Abstract

Two expressions for the nonlinear dispersion relation for gravity waves on water of constant depth are derived, one for wave fields with discrete amplitude spectra, the other for wave fields with continuous wavenumber energy spectra. Numerical examples for wave quartets and for two-dimensional Pierson–Moskowitz spectra are given, and an important possible application is discussed.

JFM classification

Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Waves/Free-surface Flows
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 859 , 25 January 2019 , pp. 49 - 58
Copyright
© 2018 Cambridge University Press 

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