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Numerical and laboratory investigation of breaking of steep two-dimensional waves in deep water

Published online by Cambridge University Press:  27 January 2010

ALEXANDER V. BABANIN ,
DMITRY CHALIKOV ,
I. R. YOUNG  and
IVAN SAVELYEV
ALEXANDER V. BABANIN*
Affiliation:
Swinburne University of Technology, Melbourne, Victoria 3122, Australia
DMITRY CHALIKOV
Affiliation:
Swinburne University of Technology, Melbourne, Victoria 3122, Australia P.P. Shirshov Institute of Oceanology, Maly Pr. V. I. Saint-Petersburg 199053, Russia
I. R. YOUNG
Affiliation:
Swinburne University of Technology, Melbourne, Victoria 3122, Australia
IVAN SAVELYEV
Affiliation:
RSMAS, University of Miami, FL 33149, USA
*
†Email address for correspondence: ABabanin@groupwise.swin.edu.au
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Abstract

The paper extends a pilot study into a detailed investigation of properties of breaking waves and processes responsible for breaking. Simulations of evolution of steep to very steep waves to the point of breaking are undertaken by means of the fully nonlinear Chalikov–Sheinin model. Particular attention is paid to evolution of nonlinear wave properties, such as steepness, skewness and asymmetry, in the physical, rather than Fourier space, and to their interplay leading to the onset of breaking. The role of superimposed wind is also investigated. The capacity of the wind to affect the breaking onset is minimal unless the wind forcing is very strong. Wind is, however, important as a source of energy for amplification of the wave steepness and ultimately altering the breaking statistics. A detailed laboratory study is subsequently described. The theoretical predictions are verified and quantified. In addition, some features of the nonlinear development not revealed by the model (i.e. reduction of the wave period which further promotes an increase in steepness prior to breaking) are investigated. Physical properties of the incipient breaker are measured and examined, as well as characteristics of waves both preceding and following the breaker. The experiments were performed both with and without a superimposed wind, the role of which is also investigated. Since these idealized two-dimensional results are ultimately intended for field applications, tentative comparisons with known field data are considered. Limitations which the modulational instability mechanism can encounter in real broadband three-dimensional environments are highlighted. Also, substantial examination of existing methods of breaking onset detection are discussed and inconsistencies of existing measurements of breaking rates are pointed out.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 644 , 10 February 2010 , pp. 433 - 463
Copyright
Copyright © Cambridge University Press 2010

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References

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