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| Titel |
Dynamical and statistical explanations of observed occurrence rates of rogue waves |
| VerfasserIn |
J. Gemmrich, C. Garrett |
| 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 ; 11, no. 5 ; Nr. 11, no. 5 (2011-05-18), S.1437-1446 |
| Datensatznummer |
250009423
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| Publikation (Nr.) |
 copernicus.org/nhess-11-1437-2011.pdf |
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| Zusammenfassung |
| Extreme surface waves occur in the tail of the probability distribution.
Their occurrence rate can be displayed effectively by plotting ln(–ln P),
where P is the probability of the wave or crest height exceeding a
particular value, against the logarithm of that value. A Weibull distribution
of the exceedance probability, as proposed in a standard model, then becomes
a straight line. Earlier North Sea data from an oil platform suggest a curved
plot, with a higher occurrence rate of extreme wave and crest heights than
predicted by the standard model. The curvature is not accounted for by second
order corrections, non-stationarity, or Benjamin-Feir instability, though all
of these do lead to an increase in the exceedance probability. Simulations
for deep water waves suggest that, if the waves are steep, the curvature may
be explained by including up to fourth order Stokes corrections. Finally, the
use of extreme value theory in fitting exceedance probabilities is shown to
be inappropriate, as its application requires that not just N, but also lnN, be large, where N is the number of waves in a data block. This is
unlikely to be adequately satisfied. |
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