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A transport-equation description of nonlinear ocean surface wave interactions

Published online by Cambridge University Press:  29 March 2006

Kenneth M. Watson  and
Bruce J. West
Kenneth M. Watson
Affiliation:
Physical Dynamics, Inc., P.O. Box 1069, Berkeley, California 94701 Permanent address: Department of Physics, University of California, Berkeley.
Bruce J. West
Affiliation:
Physical Dynamics, Inc., P.O. Box 1069, Berkeley, California 94701
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Abstract

The evolution of the power spectrum of surface gravity waves is described by means of an energy transport equation. A slowly varying, prescribed ocean current and wind source are assumed to account for spatial inhomogeneities in the surface wave spectrum. These inhomogeneities lead to a new nonlinear wave-wave interaction mechanism.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 70 , Issue 4 , 26 August 1975 , pp. 815 - 826
Copyright
© 1975 Cambridge University Press

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References

Barnett, T. P. 1968 J. Geophys. Res. 73, 513.
Benney, D. J. 1962 J. Fluid Mech. 14, 577.
Benney, D. J. & Newell, A. C. 1969 Studies in Appl. Math. 48, 29.
Benney, D. J. & Saffman, P. G. 1966 Proc. Roy. Soc. A 289, 301.
Hasselmann, K. 1960 Schiffstech. 7, 191.
Hasselmann, K. 1962 J. Fluid Mech. 12, 481.
Hasselmann, K. 1963 J. Fluid Mech. 15, 273. 385.
Hasselmann, K. 1968 In Basic Developments in Fluid Mechanics (ed. M. Holt), vol. 2, p. 117. Academic.
Jackson, J. D. 1962 Classical Electrodynamics, p. 15. Wiley.
Kenyon, K. E. 1971 Deep-Sea Res. 18, 1023.
Longuet-Higgins, M. S., Cartwright, D. E. & Smith, N. D. 1963 Ocean Wave Spectra, p. 111. Prentice-Hall.
Longuet-Higgins, M. S. & Stewart, R. W. 1960 J. Fluid Mech. 8, 565.
Longuet-Higgins, M. S. & Stewart, R. W. 1961 J. Fluid Mech. 10, 529.
Miles, J. W. 1957 J. Fluid Mech. 3, 185.
Miles, J. W. 1960 J. Fluid Mech. 7, 469.
Phillips, O. M. 1957 J. Fluid Mech. 2, 417.
Phillips, O. M. 1960 J. Fluid Mech. 9, 193.
Phillips, O. M. 1966 The Dynamics of the Upper Ocean, chap. 3. Cambridge University Press.
Snider, R. F. 1960 J. Chem. Phys. 32, 1051.
Snyder, R. L. & Cox, C. S. 1966 J. Mar. Res. 24, 141.
Thomson, J. A. & West, B. J. 1973 RADC-TR-73-192, Phys. Dyn. Rep. PD 72-029.
Tyler, G. L., Teague, C. C., Stewart, R. H., Peterson, A. M., Munk, W. H. & Joy, J. W. 1974 Deep-Sea Res. 21, 989.
West, B. J., Watson, K. M. & Thomson, J. A. 1974 Phys. Fluids, 17, 1059.
Whitham, G. B. 1961 Comm. Pure Appl. Math. 14, 675.
Wigner, E. P. 1932 Phys. Rev. 40, 749.