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.
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 language | English |
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Journal | Applied Ocean Research |
Volume | 18 |
Issue number | 2-3 |
Pages (from-to) | 119-128 |
ISSN | 0141-1187 |
DOIs | |
Publication status | Published - 1996 |