Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 35207 |
| Fachzeitschrift | Scientific reports |
| Jahrgang | 6 |
| Publikationsstatus | Veröffentlicht - 12 Okt. 2016 |
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.
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in: Scientific reports, Jahrgang 6, 35207, 12.10.2016.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Ocean rogue waves and their phase space dynamics in the limit of a linear interference model
AU - Birkholz, Simon
AU - Breé, Carsten
AU - VeseliÄ ‡, Ivan
AU - Demircan, Ayhan
AU - Steinmeyer, Günter
N1 - Funding information: We gratefully acknowledge financial support by Deutsche Forschungsgemeinschaft (DFG STE 762/9) and Nieders. Vorab ZN3061.
PY - 2016/10/12
Y1 - 2016/10/12
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84991080535&partnerID=8YFLogxK
U2 - 10.1038/srep35207
DO - 10.1038/srep35207
M3 - Article
AN - SCOPUS:84991080535
VL - 6
JO - Scientific reports
JF - Scientific reports
SN - 2045-2322
M1 - 35207
ER -