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

  • K. Hasselmann (a1)

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.

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Longuet-Higgins, M. S.1962J. Fluid Mech.12, 321.

Longuet-Higgins, M. S. & Phillips, O. M.1962J. Fluid Mech.12, 321.

Phillips, O. M. 1957 J. Fluid Mech. 2, 41745.

Phillips, O. M.1960J. Fluid Mech.9, 193217.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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