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Measurement of the dispersion relation for random surface gravity waves

Published online by Cambridge University Press:  04 February 2015

Tore Magnus A. Taklo ,
Karsten Trulsen ,
Odin Gramstad ,
Harald E. Krogstad  and
Atle Jensen
Tore Magnus A. Taklo
Affiliation:
Department of Mathematics, University of Oslo, PO Box 1053 Blindern, NO-0316 Oslo, Norway
Karsten Trulsen*
Affiliation:
Department of Mathematics, University of Oslo, PO Box 1053 Blindern, NO-0316 Oslo, Norway
Odin Gramstad
Affiliation:
Department of Mathematics, University of Oslo, PO Box 1053 Blindern, NO-0316 Oslo, Norway Centre for Ocean Engineering Science and Technology, Swinburne University of Technology, Melbourne VIC 3122, Australia
Harald E. Krogstad
Affiliation:
Department of Mathematical Sciences, NTNU, NO-7491 Trondheim, Norway
Atle Jensen
Affiliation:
Department of Mathematics, University of Oslo, PO Box 1053 Blindern, NO-0316 Oslo, Norway
*
†Email address for correspondence: karstent@math.uio.no
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Abstract

We report laboratory experiments and numerical simulations of the Zakharov equation, designed to have sufficient resolution in space and time to measure the dispersion relation for random surface gravity waves. The experiments and simulations are carried out for a JONSWAP spectrum and Gaussian spectra of various bandwidths on deep water. It is found that the measured dispersion relation deviates from the linear dispersion relation above the spectral peak when the bandwidth is sufficiently narrow.

JFM classification

Waves/Free-surface Flows: Surface gravity waves Waves/Free-surface Flows: Waves/Free-surface Flows

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Papers
Information
Journal of Fluid Mechanics , Volume 766 , 10 March 2015 , pp. 326 - 336
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© 2015 Cambridge University Press 

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