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On the distribution of maximum crest and wave height at intermediate water depths

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On the distribution of maximum crest and wave height at intermediate water depths. / Schubert, M.; Wu, Y.; Tychsen, J. et al.
In: Ocean Engineering, Vol. 217, 107485, 01.12.2020.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Schubert, M, Wu, Y, Tychsen, J, Dixen, M, Faber, MH, Sørensen, JD & Jonathan, P 2020, 'On the distribution of maximum crest and wave height at intermediate water depths', Ocean Engineering, vol. 217, 107485. https://doi.org/10.1016/j.oceaneng.2020.107485

APA

Schubert, M., Wu, Y., Tychsen, J., Dixen, M., Faber, M. H., Sørensen, J. D., & Jonathan, P. (2020). On the distribution of maximum crest and wave height at intermediate water depths. Ocean Engineering, 217, Article 107485. https://doi.org/10.1016/j.oceaneng.2020.107485

Vancouver

Schubert M, Wu Y, Tychsen J, Dixen M, Faber MH, Sørensen JD et al. On the distribution of maximum crest and wave height at intermediate water depths. Ocean Engineering. 2020 Dec 1;217:107485. Epub 2020 Sept 13. doi: 10.1016/j.oceaneng.2020.107485

Author

Schubert, M. ; Wu, Y. ; Tychsen, J. et al. / On the distribution of maximum crest and wave height at intermediate water depths. In: Ocean Engineering. 2020 ; Vol. 217.

Bibtex

@article{06a590ebb1ed4db8825b6a425a6825e8,
title = "On the distribution of maximum crest and wave height at intermediate water depths",
abstract = "We report new descriptions for the (probability) distributions of hourly maximum crest and wave height of water surface gravity waves for intermediate water depths. Estimated distributions are based on analysis of laboratory-scale measurements at the DHI wave basin. For a given sea state, the distribution of both hourly maximum crest and hourly maximum wave height, normalised by sea state significant wave height, is found to follow a generalised extreme value (GEV) distribution. Variation of the three parameters of the GEV distribution across sea states, is expressed in terms of a response surface model as a function of non-dimensional sea state Ursell number and wave steepness, and wave directional spreading angle. For inference, conventional Monte Carlo wave basin measurements are supplemented with measurements selected by means of a novel “pre-selection” sampling scheme using numerical simulations. This scheme effectively guarantees that extreme events from tails of distributions are produced, and reduces uncertainties associated with the estimated distributions. Estimation is performed using Bayesian inference, allowing uncertainties to be quantified, and providing estimates of posterior predictive tail distributions for sea states with arbitrary characteristics within the domain of sea state characteristics covered by the model. ",
keywords = "Crest height, Distribution, Extreme, Generalised extreme value, Hourly maximum, Metocean design, Wave height",
author = "M. Schubert and Y. Wu and J. Tychsen and M. Dixen and M.H. Faber and J.D. S{\o}rensen and P. Jonathan",
year = "2020",
month = dec,
day = "1",
doi = "10.1016/j.oceaneng.2020.107485",
language = "English",
volume = "217",
journal = "Ocean Engineering",
issn = "0029-8018",
publisher = "Elsevier Ltd",

}

RIS

TY - JOUR

T1 - On the distribution of maximum crest and wave height at intermediate water depths

AU - Schubert, M.

AU - Wu, Y.

AU - Tychsen, J.

AU - Dixen, M.

AU - Faber, M.H.

AU - Sørensen, J.D.

AU - Jonathan, P.

PY - 2020/12/1

Y1 - 2020/12/1

N2 - We report new descriptions for the (probability) distributions of hourly maximum crest and wave height of water surface gravity waves for intermediate water depths. Estimated distributions are based on analysis of laboratory-scale measurements at the DHI wave basin. For a given sea state, the distribution of both hourly maximum crest and hourly maximum wave height, normalised by sea state significant wave height, is found to follow a generalised extreme value (GEV) distribution. Variation of the three parameters of the GEV distribution across sea states, is expressed in terms of a response surface model as a function of non-dimensional sea state Ursell number and wave steepness, and wave directional spreading angle. For inference, conventional Monte Carlo wave basin measurements are supplemented with measurements selected by means of a novel “pre-selection” sampling scheme using numerical simulations. This scheme effectively guarantees that extreme events from tails of distributions are produced, and reduces uncertainties associated with the estimated distributions. Estimation is performed using Bayesian inference, allowing uncertainties to be quantified, and providing estimates of posterior predictive tail distributions for sea states with arbitrary characteristics within the domain of sea state characteristics covered by the model.

AB - We report new descriptions for the (probability) distributions of hourly maximum crest and wave height of water surface gravity waves for intermediate water depths. Estimated distributions are based on analysis of laboratory-scale measurements at the DHI wave basin. For a given sea state, the distribution of both hourly maximum crest and hourly maximum wave height, normalised by sea state significant wave height, is found to follow a generalised extreme value (GEV) distribution. Variation of the three parameters of the GEV distribution across sea states, is expressed in terms of a response surface model as a function of non-dimensional sea state Ursell number and wave steepness, and wave directional spreading angle. For inference, conventional Monte Carlo wave basin measurements are supplemented with measurements selected by means of a novel “pre-selection” sampling scheme using numerical simulations. This scheme effectively guarantees that extreme events from tails of distributions are produced, and reduces uncertainties associated with the estimated distributions. Estimation is performed using Bayesian inference, allowing uncertainties to be quantified, and providing estimates of posterior predictive tail distributions for sea states with arbitrary characteristics within the domain of sea state characteristics covered by the model.

KW - Crest height

KW - Distribution

KW - Extreme

KW - Generalised extreme value

KW - Hourly maximum

KW - Metocean design

KW - Wave height

U2 - 10.1016/j.oceaneng.2020.107485

DO - 10.1016/j.oceaneng.2020.107485

M3 - Journal article

VL - 217

JO - Ocean Engineering

JF - Ocean Engineering

SN - 0029-8018

M1 - 107485

ER -