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

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dc.identifier.uri http://dx.doi.org/10.15488/772
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/796
dc.contributor.author Birkholz, Simon
dc.contributor.author Bree, Carsten
dc.contributor.author Veselic, Ivan
dc.contributor.author Demircan, Ayhan
dc.contributor.author Steinmeyer, Günter
dc.date.accessioned 2016-11-30T08:54:04Z
dc.date.available 2016-11-30T08:54:04Z
dc.date.issued 2016
dc.identifier.citation 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
dc.description.abstract 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. eng
dc.description.sponsorship DFG/STE/762/9
dc.language.iso eng
dc.publisher London : Nature Publishing Group
dc.relation.ispartofseries Scientific Reports 6 (2016)
dc.rights CC BY 4.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject ocean eng
dc.subject waves eng
dc.subject Grassberger-Procaccia Algorithm eng
dc.subject GPA eng
dc.subject eng
dc.subject Physical oceanography eng
dc.subject Statistical physics eng
dc.subject.ddc 500 | Naturwissenschaften ger
dc.title Ocean rogue waves and their phase space dynamics in the limit of a linear interference model
dc.type article
dc.type Text
dc.relation.issn 2045-2322
dc.relation.doi http://dx.doi.org/10.1038/srep35207
dc.bibliographicCitation.volume 6
dc.bibliographicCitation.firstPage 35207
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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