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Meanwhile, the wave crest height exceedance probabilities of these sea states obtained from using the Jahns and Wheeler finite depth wave crest height distribution model have also been included for comparison purpose.
The proposed new approach has been first applied for calculating the wave crest height exceedance probabilities of sea states with standard JONSWAP spectra corresponding to different water depths, and the calculation results have been favorably validated against Monte Carlo simulation results.
The Transformed Rayleigh method is then applied to calculate the wave crest height exceedance probabilities of a combined sea state with a bimodal Torsethaugen spectrum corresponding to a water depth of 25 m, and its accuracy and efficiency are again favorably validated by using Monte Carlo simulations.
Finally, the Transformed Rayleigh method is applied to predict the wave crest height exceedance probabilities of a sea state with the surface elevation data measured at the Poseidon platform in the Japan Sea, and its accuracy and efficiency have been once again convincingly substantiated.
For a regular linear wave, the wave crest height (Ac) is equal to the wave trough (At) and is donated by the wave amplitude (A) [38].
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The focus of the present paper lies in the statistical distribution of both the wave height (H) and the wave crest elevation (ηc); the laboratory data being used to provide both an understanding of the importance of the various parameters and an assessment of the commonly adopted design distributions.
A brief description is presented of the physical parameters that can be characterized as the most important factors influencing the wave transformation process, including incident wave height, incident wave period, incident wave length, breakwater crest height, water depth, submergence depth, crest width, and breakwater slopes.
The important influences of currents on the wave profiles, wave frequency, the ratio of maximum crest height to the total wave height, and wave pressure are investigated for both small-scale (for example, the incident wave wavelength is 9.35 cm) and larger-scale (for example, the incident wave wavelength is 5 m) short crested wave.
The results of the study have shown that both the wave height and the crest height distributions are primarily dependent upon the effective water depth (kpd), where kp is the wave number corresponding to the spectral peak and d the water depth, and the sea state steepness (1/2Hskp), where Hs is the significant wave height.
It is well understood, and there exists both exact theory and efficient numerical algorithms for calculation of the distribution of safety related wave characteristics, such as crest height and steepness.
Figures 1 and 2 show that the height of wave crest is more and more low with time elapsing due to the effect of damping and dissipativeness.
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