Second-order wave kinematics conditional on a given wave crest

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    Abstract

    General formulas are derived for the conditional mean and variance of a stationary, stochastic process conditional on a given value and slope of a correlated stationary process. Both processes are assumed to be slightly non-Gaussian and the formulas include all lowest order non-Gaussian contributions.

    As an application, the mean wave elevation and the associated wave kinematics are determined for a Stokes second-order wave theory. The results are compared to the linear (Gaussian) predictions and the effect of the non-linearities is quantified both for the wave profile and the horizontal wave particle velocities. Copyright (C) 1996 Elsevier Science Limited.
    Original languageEnglish
    JournalApplied Ocean Research
    Volume18
    Issue number2-3
    Pages (from-to)119-128
    ISSN0141-1187
    DOIs
    Publication statusPublished - 1996

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