Successive Wave Crests in Gaussian Seas

摘要

In this paper, following the theory of quasi-determinism ofrnBoccotti, the necessary and suffcient conditions, for the oc-rncurrence of two successive wave crests of large heights in arngaussian sea, are given. As a corollary, it is proven that therntail probability of the joint distribution of two successive waverncrests is given by a bivariateWeibull distribution. TheWeibullrnparameter is equal to ψ?2 = ψ(T? 2 )/ψ(0). Here, T? 2 is the ab-rnscissa of the second absolute maximum of the autocovariancernfunction ψ(T). The analytical results are in agreement withrnMonte Carlo simulations. Finally, as an application, the max-rnimum expected wave crest pressure in an undisturbed deeprnwater is evaluated by taking into account the stochastic de-rnpendence of successive wave crests.