Abstract
The problems of extreme wave detection and their probability are discussed. The sea waves’ statistics are investigated on the basis of two data sets: the first set is calculated as a superposition of linear waves with realistic spectrum, while the second one is generated in the course of ensemble modeling of wave field based on three-dimensional, full nonlinear equations. It is shown that the probability distribution of surface elevation for nonlinear waves is asymmetric relative to the mean level, i.e., positive inclinations are larger than the negative inclinations, while for linear waves, such distribution is symmetric. However, cumulative distributions of trough-to-crest heights for linear and nonlinear waves are identical. The cumulative probability of wave height can be estimated on the basis of the probability of significant wave height calculated using a wave prediction model of WAVEWATCH type. The description of the method of the calculations as well as examples of the calculations are given.
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