Annenkov, SY and Shrira, VI (2022) Effects of finite non-Gaussianity on evolution of a random wind wave field. Physical Review E, 106 (4). L042102 - ?. ISSN 2470-0045

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Abstract

We examine the long-term evolution of a random wind wave field generated by constant forcing, by comparing numerical simulations of the kinetic equation and direct numerical simulations (DNS) of the dynamical equations. While the integral characteristics of the spectra are in reasonably good agreement, the spectral shapes differ considerably at large times, the DNS spectral shape being in much better agreement with field observations. Varying the number of resonant and approximately resonant wave interactions in the DNS numerical scheme, we show that when the ratio of nonlinear and linear parts of the Hamiltonian tends to zero, the DNS spectral shape approaches the shape predicted by the kinetic equation. We attribute the discrepancies between the kinetic equation modeling, on one side, and the DNS and observations, on the other, to the neglect of non-Gaussianity in the derivation of the kinetic equation.

Item Type: Article
Additional Information: The final version of this article and all relevant information related to it, including copyrights, can be found on tbe publisher website.
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
T Technology > T Technology (General)
Divisions: Faculty of Natural Sciences > School of Computing and Mathematics
Related URLs:
Depositing User: Symplectic
Date Deposited: 01 Dec 2022 09:08
Last Modified: 01 Dec 2022 09:08
URI: https://eprints.keele.ac.uk/id/eprint/11749

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