Abstract
Non-equilibrium evolution of wave fields, as occurring over sudden bathymetry variations, can produce rogue seas with anomalous wave statistics. We handle this process by modifying the Rayleigh distribution through the energetics of second-order theory and a non-homogeneous reformulation of the Khintchine theorem. The resulting probability model reproduces the enhanced tail of the probability distribution of unidirectional wave tank experiments. It also describes why the peak of rogue wave probability appears atop the shoal, and explains the influence of depth on variations in peak intensity. Furthermore, we interpret rogue wave likelihoods in finite depth through the
$H$
–
$\sigma$
diagram, allowing a quick prediction for the effects of rapid depth change apart from the probability distribution.
Funder
National Science Foundation
Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference102 articles.
1. Influence of varying bathymetry in rogue wave occurrence within unidirectional and directional sea-states;Ducrozet;J. Ocean Engng Mar. Energy,2017
2. Properties of shoaling waves by theory and experiment
3. Non-linearity and non-stationarity of the New Year abnormal wave
4. Linfoot, B. , Stansell, P. & Wolfram, J. 2000 On the characteristics of storm waves. In Proceedings of the International Offshore and Polar Engineering Conference, vol. 3, pp. 74–83.
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