Capturing rogue waves by multi-point statistics
File(s)
Author(s)
Hadjihosseini, A
Wächter, M
Hoffmann, NP
Peinke, J
Type
Journal Article
Abstract
As an example of a complex system with extreme events, we investigate ocean wave states exhibiting rogue waves. We present a statistical method of data analysis based on multi-point statistics which for the first time allows the grasping of extreme rogue wave events in a highly satisfactory statistical manner. The key to the success of the approach is mapping the complexity of multi-point data onto the statistics of hierarchically ordered height increments for different time scales, for which we can show that a stochastic cascade process with Markov properties is governed by a Fokker–Planck equation. Conditional probabilities as well as the Fokker–Planck equation itself can be estimated directly from the available observational data. With this stochastic description surrogate data sets can in turn be generated, which makes it possible to work out arbitrary statistical features of the complex sea state in general, and extreme rogue wave events in particular. The results also open up new perspectives for forecasting the occurrence probability of extreme rogue wave events, and even for forecasting the occurrence of individual rogue waves based on precursory dynamics.
Date Issued
2016-01-12
Date Acceptance
2015-12-07
Citation
New Journal of Physics, 2016, 18
ISSN
1367-2630
Publisher
IOP Publishing: Open Access Journals
Journal / Book Title
New Journal of Physics
Volume
18
Copyright Statement
© 2016 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Subjects
Fluids & Plasmas
Physical Sciences
Publication Status
Published