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| Titel |
Wind-wave amplification mechanisms: possible models for steep wave events in finite depth |
| VerfasserIn |
P. Montalvo, R. Kraenkel, M. A. Manna, C. Kharif |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1561-8633
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| Digitales Dokument |
URL |
| Erschienen |
In: Natural Hazards and Earth System Science ; 13, no. 11 ; Nr. 13, no. 11 (2013-11-08), S.2805-2813 |
| Datensatznummer |
250085552
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| Publikation (Nr.) |
 copernicus.org/nhess-13-2805-2013.pdf |
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| Zusammenfassung |
| We extend the Miles mechanism of wind-wave generation to finite
depth. A β-Miles linear growth rate depending on the depth
and wind velocity is derived and allows the study of linear growth
rates of surface waves from weak to moderate winds in finite depth
h. The evolution of β is plotted, for several values of the
dispersion parameter kh with k the wave number. For
constant depths we find that no matter what the values of wind
velocities are, at small enough wave age the β-Miles linear
growth rates are in the known deep-water limit. However winds of
moderate intensities prevent the waves from growing beyond
a critical wave age, which is also constrained by the water depth
and is less than the wave age limit of deep water. Depending on
wave age and wind velocity, the Jeffreys and Miles mechanisms are
compared to determine which of them dominates. A wind-forced
nonlinear Schrödinger equation is derived and the Akhmediev,
Peregrine and Kuznetsov–Ma breather solutions for weak wind inputs
in finite depth h are obtained. |
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