Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 86
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Jiang, Haoyu Stopa, Justin E. Wang, He Husson, Romain Mouche, Alexis Chapron, Bertrand and Chen, Ge 2016. Tracking the attenuation and nonbreaking dissipation of swells using altimeters. Journal of Geophysical Research: Oceans, Vol. 121, Issue. 2, p. 1446.

    Jiang, Xingjie Wang, Daolong Gao, Dalu and Zhang, Tingting 2016. Experiments on exactly computing non-linear energy transfer rate in MASNUM-WAM. Chinese Journal of Oceanology and Limnology, Vol. 34, Issue. 4, p. 821.

    Kislovsky, V. Kovaleva, M. Jayaprakash, K. R. and Starosvetsky, Y. 2016. Consecutive transitions from localized to delocalized transport states in the anharmonic chain of three coupled oscillators. Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 26, Issue. 7, p. 073102.

    Prabhakar, V. and Uma, G. 2016. A Polar Method using cubic spline approach for obtaining wave resonating quadruplets. Ocean Engineering, Vol. 111, p. 292.

    Rahman, Matiur 2016. Handbook of Fluid Dynamics, Second Edition.

    Sheremet, Alex Davis, Justin R. Tian, Miao Hanson, Jeffrey L. and Hathaway, Kent K. 2016. TRIADS: A phase-resolving model for nonlinear shoaling of directional wave spectra. Ocean Modelling, Vol. 99, p. 60.

    Uma, G. Prabhakar, V. and Hariharan, S. 2016. A wavelet approach for computing nonlinear wave–wave interactions in discrete spectral wave models. Journal of Ocean Engineering and Marine Energy, Vol. 2, Issue. 2, p. 129.

    Samiksha, S.V. Polnikov, V.G. Vethamony, P. Rashmi, R. Pogarskii, F. and Sudheesh, K. 2015. Verification of model wave heights with long-term moored buoy data: Application to wave field over the Indian Ocean. Ocean Engineering, Vol. 104, p. 469.

    Yildirim, B. and Karniadakis, George Em 2015. Stochastic simulations of ocean waves: An uncertainty quantification study. Ocean Modelling, Vol. 86, p. 15.

    Zhao, Xin Shen, Hayley H. and Cheng, Sukun 2015. Modeling ocean wave propagation under sea ice covers. Acta Mechanica Sinica, Vol. 31, Issue. 1, p. 1.

    Clark di Leoni, P. Cobelli, P. J. and Mininni, P. D. 2014. Wave turbulence in shallow water models. Physical Review E, Vol. 89, Issue. 6,

    Sun, Oliver M. and Pinkel, Robert 2013. Subharmonic Energy Transfer from the Semidiurnal Internal Tide to Near-Diurnal Motions over Kaena Ridge, Hawaii. Journal of Physical Oceanography, Vol. 43, Issue. 4, p. 766.

    Tolman, Hendrik L. 2013. A Generalized Multiple Discrete Interaction Approximation for resonant four-wave interactions in wind wave models. Ocean Modelling, Vol. 70, p. 11.

    Williams, Timothy D. Bennetts, Luke G. Squire, Vernon A. Dumont, Dany and Bertino, Laurent 2013. Wave–ice interactions in the marginal ice zone. Part 1: Theoretical foundations. Ocean Modelling, Vol. 71, p. 81.

    Williams, Timothy D. Bennetts, Luke G. Squire, Vernon A. Dumont, Dany and Bertino, Laurent 2013. Wave–ice interactions in the marginal ice zone. Part 2: Numerical implementation and sensitivity studies along 1D transects of the ocean surface. Ocean Modelling, Vol. 71, p. 92.

    Badulin, S. I. and Grigorieva, V. G. 2012. On discriminating swell and wind-driven seas in Voluntary Observing Ship data. Journal of Geophysical Research: Oceans, Vol. 117, Issue. C11, p. n/a.

    Donelan, M. A. Curcic, M. Chen, S. S. and Magnusson, A. K. 2012. Modeling waves and wind stress. Journal of Geophysical Research: Oceans, Vol. 117, Issue. C11, p. n/a.

    Henderson, Diane and Segur, Harvey 2012. The Benjamin–Feir instability and propagation of swell across the Pacific. Mathematics and Computers in Simulation, Vol. 82, Issue. 7, p. 1172.

    Plant, William J. and Farquharson, Gordon 2012. Origins of features in wave number-frequency spectra of space-time images of the ocean. Journal of Geophysical Research: Oceans, Vol. 117, Issue. C6, p. n/a.

    Siadatmousavi, S. Mostafa Jose, F. and Stone, G.W. 2012. On the importance of high frequency tail in third generation wave models. Coastal Engineering, Vol. 60, p. 248.


On the non-linear energy transfer in a gravity-wave spectrum. Part 3. Evaluation of the energy flux and swell-sea interaction for a Neumann spectrum

  • K. Hasselmann (a1)
  • DOI:
  • Published online: 01 March 2006

The energy transfer due to non-linear interactions between the components of a gravity-wave spectrum discussed in Parts 1 and 2 of this paper is evaluated for a fully and partially developed Neumann spectrum with various spreading factors. The characteristic time scales of the energy transfer are found to be typically of the order of a few hours. In all cases the high frequencies and the low-frequency peak are found to gain energy from an intermediate range of frequencies. The transfer of energy to very low frequencies and to waves travelling at large angles to the main propagation direction of the spectrum is negligible. Computations are presented also for the rate of decay of swell interacting with local wind-generated seas (represented by a Neumann spectrum). An appreciable decay is found only for swell frequencies in the same range as those of the local sea.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *