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Numerical modelling of flux spectra formation for surface gravity waves

Published online by Cambridge University Press:  26 April 2006

V. G. Polnikov
V. G. Polnikov
Affiliation:
Marine Hydrophysical Institute of the Ukrainian Academy of Sciences, 2 Kapitanskaya st., 335000 Sevastopol, Ukraine
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Abstract

By means of direct numerical solution of the kinetic equation for surface gravity waves, it is shown that under certain conditions the constant flux spectra of nonlinear waves, first predicted by Zakharov & Filonenko (1966) for an infinite frequency domain, can be formed in a finite frequency interval. For the case of angular isotropic spectra the conditions and timescales of this flux spectra formation are evaluated.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 278 , 10 November 1994 , pp. 289 - 296
Copyright
© 1994 Cambridge University Press

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References

Crawford, D. R., Saffman, P. G. & Yuen, H. C. 1980 Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves. J. Wave Motion 2, 1–16.Google Scholar
Hasselmann, K. 1962 On the nonlinear energy transfer in a gravity wave spectrum. Part 1. J. Fluid Mech. 12, 481–500.Google Scholar
Masuda, A. 1980 Nonlinear energy transfer between wind waves. J. Phys., Oceanogr. 10, 2082–2093.Google Scholar
Polnikov, V. G. 1989 Calculation of the nonlinear energy transfer through the surface gravity waves spectrum. Izv. Acad. Sci. USSR, Atmos. Ocean. Phys. 25, 896–904. (English translation).Google Scholar
Polnikov, V. G. 1990 Numerical solution of the kinetic equation for surface gravity waves. Izv. Acad. Sci. USSR, Atmos. Ocean. Phys. 26, 118–123. (English translation).Google Scholar
Resio, D. & Perrie, W. 1991 A numerical study of nonlinear energy fluxes due to wave-wave interactions. J. Fluid Mech. 223, 603–629.Google Scholar
Zakharov, V. E. & Filonenko, N. N. 1966 The energy spectrum for stochastic surface level oscillations. Dokl. Akad. Nauk SSSR. 170, 1292–1295 (referred to herein as ZF).Google Scholar
Zakharov, V. E. & Zaslavskii, M. M. 1982 Kinetic equation and Kolmogorov's spectra in a weak turbulent theory of wind waves. Izv. Acad. Sci. USSR, Atmos. Ocean. Phys. 18, 970–979.Google Scholar