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Journal ArticleDOI

Energy transport in a nonlinear and inhomogeneous random gravity wave field.

Jürgen Willebrand
- 15 Jul 1975 - 
- Vol. 70, Iss: 01, pp 113-126
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TLDR
In this paper, the contribution of tertiary resonant interactions to the total energy transfer in an inhomogeneous random field of gravity waves is calculated, and it is found to be small for open-ocean waves, but to be of some importance for shallow-water waves, where topography or mean shear currents may produce strong inhomogeneities.
Abstract
Certain tertiary resonant interactions of gravity waves which have been found previously can be obtained more easily by using a simple extension of Whitham's formalism. The contribution of these interactions to the total energy transfer in an inhomogeneous random field of gravity waves is calculated. It is found to be small for open-ocean waves, but to be of some importance for shallow-water waves, where topography or mean shear currents may produce strong inhomogeneities. The nonlinear splitting of the group velocity is found to be unimportant in wave fields with sufficiently smooth spectra.

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References
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Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP)

TL;DR: In this article, wave spectra were measured along a profile extending 160 kilometers into the North Sea westward from Sylt for a period of two weeks in 1968 and 1969, with particular emphasis on wave growth under stationary offshore wind conditions and the attenuation of swell in water of finite depth.
Journal ArticleDOI

A proposed spectral form for fully developed wind seas based on the similarity theory of S. A. Kitaigorodskii

TL;DR: In this article, the authors used the data for the spectra of fully developed seas obtained for wind speeds from 20 to 40 knots as measured by anemometers on two weather ships.
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On the generation of surface waves by shear flows

TL;DR: In this paper, an approximate solution to the boundary value problem is developed for a logarithmic profile and the corresponding spectral distribution of the energy transfer coefficient calculated as a function of wave speed.
Journal ArticleDOI

On the non-linear energy transfer in a gravity-wave spectrum Part 1. General theory

TL;DR: In this article, the energy flux in a finite-depth gravity-wave spectrum resulting from weak non-linear couplings between the spectral components is evaluated by means of a perturbation method.
Journal ArticleDOI

Radiation stress and mass transport in gravity waves, with application to `surf-beats'

TL;DR: In this article, the second-order currents and changes in mean surface level which are caused by gravity waves of non-uniform amplitude are investigated, and the effects are interpreted in terms of the radiation stresses in the waves.
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