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Energy transport in a nonlinear and inhomogeneous random gravity wave field

Published online by Cambridge University Press:  29 March 2006

Jürgen Willebrand
Jürgen Willebrand
Affiliation:
Institut für Meereskunde an der Universität Kiel, Germany
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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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 70 , Issue 1 , 15 July 1975 , pp. 113 - 126
Copyright
© 1975 Cambridge University Press

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Footnotes

Shortened version of the author's Ph.D. thesis, hereafter cited as I.

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