Researches on statistical properties of freak waves in uni-directional random waves in deep water

Fu Ruili; Ma Yuxiang; Dong Guohai

doi:10.12284/hyxb2021159

Volume 43 Issue 10

Oct. 2021

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Fu Ruili，Ma Yuxiang，Dong Guohai. Researches on statistical properties of freak waves in uni-directional random waves in deep water[J]. Haiyang Xuebao，2021, 43(10)：81–89 doi: 10.12284/hyxb2021159

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Researches on statistical properties of freak waves in uni-directional random waves in deep water

doi: 10.12284/hyxb2021159

Fu Ruili^1
,,
Ma Yuxiang^{1
,
,},
Dong Guohai¹

State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China

Received Date: 2020-07-28
Rev Recd Date: 2020-10-29

Available Online: 2021-08-26

Publish Date: 2021-10-30

Abstract

Abstract

Numerous random wave trains are simulated based on the JONSWAP spectrum using the Longuet-Higgins wave model, and then extreme waves are investigated based on the wave trains with stable probabilities of freak waves. The probabilities of freak waves are smaller than those of based on Rayleigh distributions. With the spectra narrower, the probability of freak waves increases. During the fixed times, the frequency of freak waves obeys the Poisson distribution and time intervals satisfy exponential distribution. The most probable occurrence frequency of freak waves decrease and intervals of freak waves are longer with the spectra wider. Wave groups are discriminated based on wavelet spectra and their characteristics are analyzed. There are no more than four freak waves in wave groups. The probability of wave groups containing merely one freak wave is the largest. Numbers of freak waves in wave groups are increasing with the spectral narrower. Furthermore, time lengths of wave groups containing freak waves satisfy Generalized extreme value distribution (GEV distribution), and with spectra narrower, the most probable lengths of the wave groups increase.
- freak waves,
- wave groups,
- wave models

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References(33)

References

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