Wave Height Distribution in Mixed Sea States

Rodrı́guez, Germán; Soares, C. Guedes; Pacheco, Mercedes; Pérez-Martell, Esther

doi:10.1115/1.1445794

Cited by 44 publications

(22 citation statements)

References 18 publications

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“…The results for the distribution of wave heights for tests 8230 and 8231 corroborate the conclusion of Rodríguez et al (2002) that the coexistence of two wave systems of different dominant frequencies but similar energy contents results in a reduction in the probability of wave heights larger than the mean, and this effect becomes more pronounced when the intermodal distance increases.…”

Section: P G Petrova and C Guedes Soares: Distributions Of Nonlinesupporting

confidence: 82%

“…The probability distributions of wave heights in such sea states have been studied within the linear theory by Rodríguez et al (2002) for numerically simulated data, and by Guedes Carvalho (2003, 2012) for oceanic data. The Rayleigh distribution was found to systematically overestimate the observations and fit the data only in the case of wind-dominated sea states with low intermodal distances.…”

Section: P G Petrova and C Guedes Soares: Distributions Of Nonlinementioning

confidence: 99%

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Distributions of nonlinear wave amplitudes and heights from laboratory generated following and crossing bimodal seas

Petrova

Soares

2014

Nat. Hazards Earth Syst. Sci.

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Abstract. This paper presents an analysis of the distributions of nonlinear crests, troughs and heights of deep water waves from mixed following sea states generated mechanically in an offshore basin and compares with previous results for mixed crossing seas from the same experiment. The random signals at the wavemaker in both types of mixed seas are characterized by bimodal spectra following the model of Guedes Soares (1984). In agreement with the Benjamin-Feir mechanism, the high-frequency spectrum shows a decrease in the peak magnitude and downshift of the peak with the distance, as well as reduction of the tail. The observed statistics and probabilistic distributions exhibit, in general, increasing effects of third-order nonlinearity with the distance from the wavemaker. However, this effect is less pronounced in the wave systems with two following wave trains than in the crossing seas, given that they have identical initial characteristics of the bimodal spectra. The relevance of third-order effects due to free modes only is demonstrated and assessed by excluding the vertically asymmetric distortions induced by bound wave effects of second and third order. The fact that for records characterized by relatively large coefficient of kurtosis, the empirical distributions for the non-skewed profiles continue deviating from the linear predictions, corroborate the relevance of free wave interactions and thus the need of using higher-order models for the description of wave data.

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Section: P G Petrova and C Guedes Soares: Distributions Of Nonlinesupporting

confidence: 82%

Section: P G Petrova and C Guedes Soares: Distributions Of Nonlinementioning

confidence: 99%

Distributions of nonlinear wave amplitudes and heights from laboratory generated following and crossing bimodal seas

Petrova

Soares

2014

Nat. Hazards Earth Syst. Sci.

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“…Anyway the presented results may be applied also for combined sea states, which have spectra that exhibit more than one peak [see Guedes Soares, 1991]. For this purpose the distribution of nonlinear crest heights should be obtained for double-peaked spectra (at present statistical properties of individual waves in combined sea states have been investigated only to the first order [Rodriguez et al, 2002]). …”

Section: C08004mentioning

confidence: 99%

Return period of nonlinear high wave crests

Arena

Pavone

2006

J. Geophys. Res.

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[1] This paper deals with the long-term statistics for extreme nonlinear crest heights. First, a new analytical solution for the return period R(h), of a sea storm in which the maximum nonlinear crest height exceeds a fixed threshold h, is obtained by applying the 'Equivalent Triangular Storm' model and a second-order crest height distribution. The probability P(h c max > hj[0, L]) that maximum nonlinear crest height in the time span L exceeds a fixed threshold is then derived from R(h) solution, assuming that the occurrence of storms with highest crest larger than h is given by a Poisson process. In the applications, both R(h) and P(h c max > hj[0, L]) are calculated for some locations. It is shown that narrowband second-order approach is slightly conservative, with respect to the more general condition of crest distribution for second-order three-dimensional waves. Finally, a comparison with Boccotti, Jasper and Krogstad models is presented.

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“…The Naess function becomes −1 for a strictly narrow band process [32], in which case it reduces to the Rayleigh. The adequateness of the Naess distribution to fit wave data has been checked in earlier work [33].…”

Section: Analysis Of Responses For Design Stormsmentioning

confidence: 99%