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Nonlinear Energy Transfer through the Spectrum of Gravity Waves for the Finite Depth Case

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  • 1 Marine Hydrophysical Institute, National Ukrainian Academy of Sciences, Sevastopol, Ukraine
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Abstract

An algorithm for calculation of the nonlinear kinetic integral is described for the case of finite depth. The use of an effective approximation of the exact dispersion relationship for gravity waves in finite depth permits modification of the analytical part of the calculation technique derived earlier by the author for the deep water case.

A representative series of two-dimensional spectral shapes was investigated, and numerous peculiarities of nonlinear energy transfer through the spectrum for the finite depth case were revealed. The analytical parameterization on nonlinear transfer was constructed as a function of spectral shape parameters. The first approximation of such a parameterization is presented, and further investigation of the problem discussed.

Corresponding author address: Dr. Vladislav G. Polnikov, Marine Hydrophysical Institute, National Ukrainian Academy of Sciences, 2Kapitanskaya St., 335000 Sevastopol, Ukraine.

Email: odmi@mhi2.sebastopol.ua

Abstract

An algorithm for calculation of the nonlinear kinetic integral is described for the case of finite depth. The use of an effective approximation of the exact dispersion relationship for gravity waves in finite depth permits modification of the analytical part of the calculation technique derived earlier by the author for the deep water case.

A representative series of two-dimensional spectral shapes was investigated, and numerous peculiarities of nonlinear energy transfer through the spectrum for the finite depth case were revealed. The analytical parameterization on nonlinear transfer was constructed as a function of spectral shape parameters. The first approximation of such a parameterization is presented, and further investigation of the problem discussed.

Corresponding author address: Dr. Vladislav G. Polnikov, Marine Hydrophysical Institute, National Ukrainian Academy of Sciences, 2Kapitanskaya St., 335000 Sevastopol, Ukraine.

Email: odmi@mhi2.sebastopol.ua

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