Ocean rogue waves and their phase space dynamics in the limit of a linear interference model

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Birkholz, S.; Breé, C.; Veselic, I.; Demircan, Ayhan; Steinmeyer, G.: Ocean rogue waves and their phase space dynamics in the limit of a linear interference model. In: Scientific Reports 6 (2016), 35207. DOI: http://dx.doi.org/10.1038/srep35207

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Sum total of downloads: 182

We reanalyse the probability for formation of extreme waves using the simple model of linear interference of a finite number of elementary waves with fixed amplitude and random phase fluctuations. Under these model assumptions no rogue waves appear when less than 10 elementary waves interfere with each other. Above this threshold rogue wave formation becomes increasingly likely, with appearance frequencies that may even exceed long-term observations by an order of magnitude. For estimation of the effective number of interfering waves, we suggest the Grassberger-Procaccia dimensional analysis of individual time series. For the ocean system, it is further shown that the resulting phase space dimension may vary, such that the threshold for rogue wave formation is not always reached. Time series analysis as well as the appearance of particular focusing wind conditions may enable an effective forecast of such rogue-wave prone situations. In particular, extracting the dimension from ocean time series allows much more specific estimation of the rogue wave probability.
License of this version: CC BY 4.0 Unported
Document Type: article
Publishing status: publishedVersion
Issue Date: 2016
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 125 68.68%
2 image of flag of United States United States 32 17.58%
3 image of flag of China China 6 3.30%
4 image of flag of No geo information available No geo information available 5 2.75%
5 image of flag of Netherlands Netherlands 3 1.65%
6 image of flag of Vietnam Vietnam 2 1.10%
7 image of flag of United Kingdom United Kingdom 2 1.10%
8 image of flag of Thailand Thailand 1 0.55%
9 image of flag of Singapore Singapore 1 0.55%
10 image of flag of Philippines Philippines 1 0.55%
    other countries 4 2.20%

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