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

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Hasselmann, K. (1962). On the non-linear energy transfer in a gravity-wave spectrum: Part 1. General theory. Journal of Fluid Mechanics, 12(4), 481-500. doi:10.1017/S0022112062000373.


Cite as: http://hdl.handle.net/21.11116/0000-0007-DD2C-0
Abstract
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. The fifth-order analysis yields a fourth-order effect comparable in magnitude to the generating and dissipating processes in wind-generated seas. The energy flux favours equidistribution of energy and vanishes in the limiting case of a white, isotropic spectrum. The influence on the equilibrium structure of fully developed wave spectra and on other phenomena in random seas is discussed briefly. © 1962, Cambridge University Press. All rights reserved.