Journal ArticleDOI
Stokes Correction for Nonlinearity of Wave Crests in Heavy Seas
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In this paper, the application of Stokes fifth-order wave theory to random deep-water waves is considered in connection with nonlinearity in crest amplitudes and wave heights.Abstract:
The application of Stokes fifth-order wave theory to random deep-water waves is considered in connection with nonlinearity in crest amplitudes The theory is shown to apply, on average, to crest amplitudes and wave heights, although differences exist for individual waves as a result of variation in wave frequency Corrections to the Rayleigh law and associated predictions of fractions of waves exceeding crest threshold levels are shown to be in close agreement with measurements for heavy seas when the significant wave height and average wave period are specified accuratelyread more
Citations
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Journal ArticleDOI
Wave-height distributions and nonlinear effects
M. Aziz Tayfun,Francesco Fedele +1 more
TL;DR: In this article, the effects of nonlinearities on the crest-to-trough heights of linear and nonlinear waves are explored. But, the results show that nonlinearity does not have any discernable effect on the wave crest to trough heights of oceanic waves.
Journal ArticleDOI
Statistics of nonlinear wave crests and groups
TL;DR: In this article, the statistics of nonlinear wave crests and wave-crest groups in deep and transitional water depths are considered, using an appropriate second-order representation for crest heights and the continuous wave-envelope approach.
Journal ArticleDOI
Improvement of theoretical storm characterization for different climate conditions
Mª Jesús Martín Soldevilla,Melva Martín-Hidalgo,Vicente Negro,José-Santos López-Gutiérrez,Paloma Aberturas +4 more
TL;DR: In this paper, different theoretical models related with storm wave characterization focus on determining the significant wave height of the peak storm, the mean period and, usually assuming a triangle storm shape, their duration.
Journal ArticleDOI
Dynamical and statistical explanations of observed occurrence rates of rogue waves
Johannes Gemmrich,Chris Garrett +1 more
TL;DR: In this paper, the use of extreme value theory in fitting exceedance probabilities is shown to be inappropriate, as its application requires that not just N, but also lnN, be large, where N is the number of waves in a data block.
Journal ArticleDOI
Joint Distribution of Wave Crest and its Associated Period in Nonlinear Random Waves
Su Ho Park,Yong Jun Cho +1 more
TL;DR: In this paper, the joint distribution of wave height and period was derived for finite banded nonlinear waves using the models of Longuet-Higgins (1975, 1983), and Cavanie et al. (1976).
References
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Journal ArticleDOI
A Fifth‐Order Stokes Theory for Steady Waves
TL;DR: In this article, an alternative Stokes theory for steady waves in water of constant depth is presented where the expansion parameter is the wave steepness itself, and the first step in application requires the solution of one nonlinear equation, rather than two or three simultaneously as has been previously necessary.
Journal ArticleDOI
XII. On the resultant of a large number of vibrations of the same pitch and of arbitrary phase
TL;DR: In this article, the resultant of a large number of vibrations of the same pitch and of arbitrary phase is discussed. But the authors focus on the effect of the phase of the vibrations.