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arXiv · 1402.4366

Stochastic analysis of ocean wave states with and without rogue waves

A. Hadjihosseini·J. Peinke·N. P. Hoffmann
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Abstract

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 of 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.

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A. Hadjihosseini, J. Peinke, N. P. Hoffmann. 2014-02-18. Stochastic analysis of ocean wave states with and without rogue waves. https://doi.org/10.1088/1367-2630/16/5/053037

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