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Computations and parameterizations of the nonlinear energy transfer in a gravity-wave spectrum. Part I: A new method for efficient computations of the exact nonlinear transfer integral

MPS-Authors

Hasselmann,  Susanne
MPI for Meteorology, Max Planck Society;

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Hasselmann,  Klaus
MPI for Meteorology, Max Planck Society;

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JPO-15-1985-1369.pdf
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Citation

Hasselmann, S., & Hasselmann, K. (1985). Computations and parameterizations of the nonlinear energy transfer in a gravity-wave spectrum. Part I: A new method for efficient computations of the exact nonlinear transfer integral. Journal of Physical Oceanography, 15, 1369-1377. doi:10.1175/1520-0485(1985)015<1369:CAPOTN>2.0.CO;2.


Cite as: https://hdl.handle.net/21.11116/0000-0008-7BCC-9
Abstract
A more efficient method of computing the nonlinear transfer in a surface wave spectrum is developed which is symmetrical with respect to all wavenumbers of the resonant interaction quadruplets. This enables a large number of computations to be carried out, as required for investigations of the spectral energy balance or the development of parameterizations. New results are presented for finite-depth surface waves. By filtering out regions in interaction phase space, the assumptions involved in the narrow-peak and local-interaction approx-imations are investigated. Both approximations are found to be useful but are generally not sufficiently accurate to replace exact computations or provide adequate parameterizations for wave models.