Some new results on statistical properties of wind waves |
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| Authors: | Paolo Boccotti |
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| Institution: | Istituto di Idrautica, via Montallegro 1, 16145 Genova, Italy |
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| Abstract: | For wind waves modelled by a stationary Gaussian process ζ(t) (ζ = height above m.w.l. of one point of the free surface) it is shown that, in a time interval including an instant tm where a maximum ζm occurs, the ratio between ζ(t) and ζm tends with probability approaching one, to the ratio Ψ(t ? tm)/Ψ(O), as tends to infinity, Ψ(t) being the autocovariance of the process.Starting from this result, it is possible to find analytically the characteristic periods of the highest waves in a sea with a given energy spectrum. These periods, calculated according to period definitions of three methods of wave record analysis, are found to be in remarkably good agreement with data from Bretschneider1 and Svasek.2 |
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