Ocean Waves

Ochi, Michel K.

doi:10.1017/cbo9780511529559

Cited by 218 publications

(95 citation statements)

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“…In many locations, three-parameter Weibull law fits well extreme significant wave height values [see, e.g., Battjes, 1970;Burrows and Salih, 1986;Ochi, 1998;Boccotti, 2000;Arena and Barbaro, 1999;Arena, 2004].…”

Section: Introductionmentioning

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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Section: Introductionmentioning

confidence: 99%

Return period of nonlinear high wave crests

Arena

Pavone

2006

J. Geophys. Res.

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“…Since the vertical acceleration is taken as a criterion of whitecap generation [42], [47], we may use the acceleration to compute the whitecap coverage, which is applied in whitecap rendering. Therefore, we have to overcome two problems:…”

Section: Whitecap Rendering Methods Taking the Vertical Acceleration Amentioning

confidence: 99%

“…In marine engineering and stochastic wave theories, commonly used criteria of whitecap generation include the vertical acceleration on the wave crest, wave steepness, and horizontal velocity of the sea surface particle, etc [42].…”

Section: Whitecap Renderingmentioning

confidence: 99%

“…In deep water, if the wave steepness exceeds the limit value, the ocean wave is unstable, and wave breaking and whitecap creation occur [42], [47]. However, the value is difficult to observe [48].…”

Section: Whitecap Renderingmentioning

confidence: 99%

“…Therefore, some alternative criteria are often used. When the steepness exceeds the limit value, the vertical acceleration on the wave crest crosses the limit acceleration, thus the vertical acceleration is also taken as a criterion [42], [47]. Schwenger et al [49] rendered the whitecap, taking the vertical acceleration as a criterion.…”

Section: Whitecap Renderingmentioning

confidence: 99%

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Ocean Wave Rendering with Whitecap in the Visual System of a Maritime Simulator

Chen

Yin

2017

CIT

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The whitecap is an important oceanographic phenomenon. However, existing whitecap rendering methods do not successfully generate realistic whitecaps. To solve this problem, this paper presents a real-time whitecap rendering method applied to the visual system of a maritime simulator. The method takes the vertical acceleration on the wave crest as the criterion of whitecap generation. The Fourier coefficient of the vertical acceleration is provided, and a continuous mathematical model computing the whitecap coverage is built. The vertical acceleration is the variable of the model. The lifetime of the whitecap's existence can be controlled by the parameter of the model, and the parameter is computed with the genetic algorithm. The average of the computed whitecap coverage is equal to the whitecap coverage computed by the stochastic method and is close to the whitecap coverage computed by the empirical formula. The whitecap coverage is used as the blending factor to blend the pixel color of the whitecap texture and that of the sea surface. The presented method has sound theoretical support, with small computational complexity. The rendered whitecap is closer to the description of the Beaufort wind force scale than before.

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Crossing sea state and rogue wave probability during the Prestige accident

et al. 2015

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We discuss the crossing sea state and the probability of rogue waves during the accident of the tanker Prestige on 13 November 2002. We present newly computed hindcast spectra for every hour during that day at nearby locations, showing the development of a bimodal sea state with two wave systems crossing at nearly right angle. We employ four different nonlinear models capable of computing the phase‐resolved sea surface from the hindcast spectra, allowing us to estimate statistics for the occurrence of rogue waves. At the location and moment of the accident, the models give expected values for the kurtosis κ = 3.0119 ± 0.0078. The models coincide that the maximum crest elevation was about 5–6% larger than the expected maximum crest elevation in a Gaussian sea at the moment of the accident. We also conclude that the possible nonlinear interaction between the two crossing wave systems practically did not modify neither the kurtosis nor the largest crest elevation.

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Ocean Waves

Cited by 218 publications

References 0 publications

Return period of nonlinear high wave crests

Return period of nonlinear high wave crests

Ocean Wave Rendering with Whitecap in the Visual System of a Maritime Simulator

Crossing sea state and rogue wave probability during the Prestige accident

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