dorsal/arxiv
View SchemaNumerical Verification of the Weak Turbulent Model for Swell Evolution
| Authors | A. O. Korotkevich, A. Pushkarev, D. Resio, V. E. Zakharov |
|---|---|
| Categories | |
| ArXiv ID | physics/0702145 |
| URL | https://arxiv.org/abs/physics/0702145 |
| DOI | 10.1016/j.euromechflu.2007.08.004 |
| Journal | A.O. Korotkevich, A.N. Pushkarev, D. Resio, and V.E. Zakharov, Numerical Verification of the Weak Turbulent Model for Swell Evolution, Eur. J. Mech. B/Fluids, vol. 27, issue 4, pp. 361-387 (2008) |
Abstract
The purpose of this article is numerical verification of the theory of weak turbulence. We performed numerical simulation of an ensemble of nonlinearly interacting free gravity waves (swell) by two different methods: solution of primordial dynamical equations describing potential flow of the ideal fluid with a free surface and, solution of the kinetic Hasselmann equation, describing the wave ensemble in the framework of the theory of weak turbulence. In both cases we observed effects predicted by this theory: frequency downshift, angular spreading and formation of Zakharov-Filonenko spectrum $I_{\omega} \sim \omega^{-4}$. To achieve quantitative coincidence of the results obtained by different methods, one has to supply the Hasselmann kinetic equation by an empirical dissipation term $S_{diss}$ modeling the coherent effects of white-capping. Using of the standard dissipation terms from operational wave predicting model ({\it WAM}) leads to significant improvement on short times, but not resolve the discrepancy completely, leaving the question about optimal choice of $S_{diss}$ open. In a long run {\it WAM} dissipative terms overestimate dissipation essentially.
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"abstract": "The purpose of this article is numerical verification of the theory of weak\nturbulence. We performed numerical simulation of an ensemble of nonlinearly\ninteracting free gravity waves (swell) by two different methods: solution of\nprimordial dynamical equations describing potential flow of the ideal fluid\nwith a free surface and, solution of the kinetic Hasselmann equation,\ndescribing the wave ensemble in the framework of the theory of weak turbulence.\n In both cases we observed effects predicted by this theory: frequency\ndownshift, angular spreading and formation of Zakharov-Filonenko spectrum\n$I_{\\omega} \\sim \\omega^{-4}$. To achieve quantitative coincidence of the\nresults obtained by different methods, one has to supply the Hasselmann kinetic\nequation by an empirical dissipation term $S_{diss}$ modeling the coherent\neffects of white-capping. Using of the standard dissipation terms from\noperational wave predicting model ({\\it WAM}) leads to significant improvement\non short times, but not resolve the discrepancy completely, leaving the\nquestion about optimal choice of $S_{diss}$ open. In a long run {\\it WAM}\ndissipative terms overestimate dissipation essentially.",
"arxiv_id": "physics/0702145",
"authors": [
"A. O. Korotkevich",
"A. Pushkarev",
"D. Resio",
"V. E. Zakharov"
],
"categories": [
"physics.flu-dyn",
"physics.ao-ph",
"physics.comp-ph",
"physics.geo-ph"
],
"doi": "10.1016/j.euromechflu.2007.08.004",
"journal_ref": "A.O. Korotkevich, A.N. Pushkarev, D. Resio, and V.E. Zakharov,\n Numerical Verification of the Weak Turbulent Model for Swell Evolution, Eur.\n J. Mech. B/Fluids, vol. 27, issue 4, pp. 361-387 (2008)",
"title": "Numerical Verification of the Weak Turbulent Model for Swell Evolution",
"url": "https://arxiv.org/abs/physics/0702145"
},
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