Stochastic analysis of ocean wave states with and without rogue waves
This work presents an analysis of ocean wave data including rogue waves. A stochastic approach based on the theory of Markov processes is applied. With this analysis we achieve a characterization of the scale-dependent complexity of ocean waves by means of a Fokker–Planck equation, providing stochas...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2014-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/16/5/053037 |
| _version_ | 1797751388863725568 |
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| author | A Hadjihosseini J Peinke N P Hoffmann |
| author_facet | A Hadjihosseini J Peinke N P Hoffmann |
| author_sort | A Hadjihosseini |
| collection | DOAJ |
| description | This work presents an analysis of ocean wave data including rogue waves. A stochastic approach based on the theory of Markov processes is applied. With this analysis we achieve a characterization of the scale-dependent complexity of ocean waves by means of a Fokker–Planck equation, providing stochastic information on multi-scale processes. In particular, we show evidence of Markov properties for increment processes, which means that a three-point closure for the complexity of the wave structures seems to be valid. Furthermore, we estimate the parameters of the Fokker–Planck equation by parameter-free data analysis. The resulting Fokker–Planck equations are verified by numerical reconstruction. This work presents a new approach where the coherent structure of rogue waves seems to be integrated into the fundamental statistics of complex wave states. |
| first_indexed | 2024-03-12T16:48:49Z |
| format | Article |
| id | doaj.art-9de1afde936d443aa1d9d32442630f6e |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:48:49Z |
| publishDate | 2014-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-9de1afde936d443aa1d9d32442630f6e2023-08-08T11:27:54ZengIOP PublishingNew Journal of Physics1367-26302014-01-0116505303710.1088/1367-2630/16/5/053037Stochastic analysis of ocean wave states with and without rogue wavesA Hadjihosseini0J Peinke1N P Hoffmann2Universität Oldenburg, 26111 Oldenburg , GermanyUniversität Oldenburg, 26111 Oldenburg , GermanyHamburg University of Technology , 21073 Hamburg, Germany; Imperial College , London SW7 2AZ, UKThis work presents an analysis of ocean wave data including rogue waves. A stochastic approach based on the theory of Markov processes is applied. With this analysis we achieve a characterization of the scale-dependent complexity of ocean waves by means of a Fokker–Planck equation, providing stochastic information on multi-scale processes. In particular, we show evidence of Markov properties for increment processes, which means that a three-point closure for the complexity of the wave structures seems to be valid. Furthermore, we estimate the parameters of the Fokker–Planck equation by parameter-free data analysis. The resulting Fokker–Planck equations are verified by numerical reconstruction. This work presents a new approach where the coherent structure of rogue waves seems to be integrated into the fundamental statistics of complex wave states.https://doi.org/10.1088/1367-2630/16/5/053037ocean wavesstochastic analysis methodsextreme events |
| spellingShingle | A Hadjihosseini J Peinke N P Hoffmann Stochastic analysis of ocean wave states with and without rogue waves New Journal of Physics ocean waves stochastic analysis methods extreme events |
| title | Stochastic analysis of ocean wave states with and without rogue waves |
| title_full | Stochastic analysis of ocean wave states with and without rogue waves |
| title_fullStr | Stochastic analysis of ocean wave states with and without rogue waves |
| title_full_unstemmed | Stochastic analysis of ocean wave states with and without rogue waves |
| title_short | Stochastic analysis of ocean wave states with and without rogue waves |
| title_sort | stochastic analysis of ocean wave states with and without rogue waves |
| topic | ocean waves stochastic analysis methods extreme events |
| url | https://doi.org/10.1088/1367-2630/16/5/053037 |
| work_keys_str_mv | AT ahadjihosseini stochasticanalysisofoceanwavestateswithandwithoutroguewaves AT jpeinke stochasticanalysisofoceanwavestateswithandwithoutroguewaves AT nphoffmann stochasticanalysisofoceanwavestateswithandwithoutroguewaves |