Real-world rogue wave probabilities

Abstract Rogue waves are dangerous ocean waves at least twice as high as the surrounding waves. Despite an abundance of studies conducting simulations or wave tank experiments, there is so far no reliable forecast for them. In this study, we use data mining and interpretable machine learning to anal...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Dion Häfner, Johannes Gemmrich, Markus Jochum
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2021
Materias:
R
Q
Acceso en línea:https://doaj.org/article/b5d0812f84834e4ebcbd7eb156c92a3c
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:doaj.org-article:b5d0812f84834e4ebcbd7eb156c92a3c
record_format dspace
spelling oai:doaj.org-article:b5d0812f84834e4ebcbd7eb156c92a3c2021-12-02T16:50:17ZReal-world rogue wave probabilities10.1038/s41598-021-89359-12045-2322https://doaj.org/article/b5d0812f84834e4ebcbd7eb156c92a3c2021-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-89359-1https://doaj.org/toc/2045-2322Abstract Rogue waves are dangerous ocean waves at least twice as high as the surrounding waves. Despite an abundance of studies conducting simulations or wave tank experiments, there is so far no reliable forecast for them. In this study, we use data mining and interpretable machine learning to analyze large amounts of observational data instead (more than 1 billion waves). This reveals how rogue wave occurrence depends on the sea state. We find that traditionally favored parameters such as surface elevation kurtosis, steepness, and Benjamin–Feir index are weak predictors for real-world rogue wave risk. In the studied regime, kurtosis is only informative within a single wave group, and is not useful for forecasting. Instead, crest-trough correlation is the dominating parameter in all studied conditions, water depths, and locations, explaining about a factor of 10 in rogue wave risk variation. For rogue crests, where bandwidth effects are unimportant, we find that skewness, steepness, and Ursell number are the strongest predictors, in line with second-order theory. Our results suggest that linear superposition in bandwidth-limited seas is the main pathway to “everyday” rogue waves, with nonlinear contributions providing a minor correction. This casts some doubt whether the common rogue wave definition as any wave exceeding a certain height threshold is meaningful in practice.Dion HäfnerJohannes GemmrichMarkus JochumNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Dion Häfner
Johannes Gemmrich
Markus Jochum
Real-world rogue wave probabilities
description Abstract Rogue waves are dangerous ocean waves at least twice as high as the surrounding waves. Despite an abundance of studies conducting simulations or wave tank experiments, there is so far no reliable forecast for them. In this study, we use data mining and interpretable machine learning to analyze large amounts of observational data instead (more than 1 billion waves). This reveals how rogue wave occurrence depends on the sea state. We find that traditionally favored parameters such as surface elevation kurtosis, steepness, and Benjamin–Feir index are weak predictors for real-world rogue wave risk. In the studied regime, kurtosis is only informative within a single wave group, and is not useful for forecasting. Instead, crest-trough correlation is the dominating parameter in all studied conditions, water depths, and locations, explaining about a factor of 10 in rogue wave risk variation. For rogue crests, where bandwidth effects are unimportant, we find that skewness, steepness, and Ursell number are the strongest predictors, in line with second-order theory. Our results suggest that linear superposition in bandwidth-limited seas is the main pathway to “everyday” rogue waves, with nonlinear contributions providing a minor correction. This casts some doubt whether the common rogue wave definition as any wave exceeding a certain height threshold is meaningful in practice.
format article
author Dion Häfner
Johannes Gemmrich
Markus Jochum
author_facet Dion Häfner
Johannes Gemmrich
Markus Jochum
author_sort Dion Häfner
title Real-world rogue wave probabilities
title_short Real-world rogue wave probabilities
title_full Real-world rogue wave probabilities
title_fullStr Real-world rogue wave probabilities
title_full_unstemmed Real-world rogue wave probabilities
title_sort real-world rogue wave probabilities
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/b5d0812f84834e4ebcbd7eb156c92a3c
work_keys_str_mv AT dionhafner realworldroguewaveprobabilities
AT johannesgemmrich realworldroguewaveprobabilities
AT markusjochum realworldroguewaveprobabilities
_version_ 1718383060213301248