Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-05T21:46:00.987Z Has data issue: false hasContentIssue false
  • English
  • Français

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

Published online by Cambridge University Press:  28 March 2006

K. Hasselmann
K. Hasselmann
Affiliation:
Institute of Geophysics and Planetary Physics and Department of Oceanography, University of California, La Jolla
Get access Rights & Permissions [Opens in a new window]

Abstract

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.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 15 , Issue 3 , March 1963 , pp. 385 - 398
Copyright
© 1963 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Hasselmann, K. 1960 Schiffstechnik, 7, 191–5.
Hasselmann, K. 1961 Proc. Conf. Ocean Wave Spectra, Easton, Md. (in the Press).
Hasselmann, K. 1962 J. Fluid Mech. 12, 481–500.
Hasselmann, K. 1963 J. Fluid Mech. 15, 273–281.
Miles, J. W. 1957 J. Fluid Mech. 3, 185–204.
Miles, J. W. 1959 J. Fluid Mech. 6, 568–82, 583–98.
Miles, J. W. 1960 J. Fluid Mech. 7, 469–78.
Munk, W. H., Miller, G., Snodgrass, F. E. & Barber, N. F. 1963 Phil. Trans. (in the Press).
Phillips, O. M. 1957 J. Fluid Mech. 2, 417–45.
Phillips, O. M. 1960 J. Fluid Mech. 9, 193–217.
Phillips, O. M. 1961 Proc. Conf. Ocean Wave Spectra, Easton, Md. (in the Press).
Pierson, W. J. Neumann, G. & James, R. W. 1955 U.S. Navy Dept. Hydrog. Off. (Wash.), Publ. no. 603.