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The directional energy distribution of wind generated waves as inferred from stereophotographic observations of the sea surface

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Academic year: 2021

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Abstract

The objective of the present study is to determine characteristics of the directional energy distribution of wind generated waves on the basis of observations with a relatively high resolution.

Approximately 75 observations of the above distribution are studied. They are selected from five spectra which are determined from stereophotogra-phic observations of the sea surface. Three of these spectra were obtained in a so-called ideal generation situation. This is a situation where a homogeneous, stationary wind blows perpendicularly off a straight coast over deep water. The other two spectra were observed in similar situa-tions. The difference with the ideal situation is for one spectrum that the wind was slanting across the coastline and for the other that the coastline was irregular.

The observed distributions are compared with the cos2s(8/2)-model intro-duced by Longuet-Higgins et al. (1963). The differences between the ob-servations and this model can be quantified due to the high resolution of the observations. It is found in the ideal situation that the model agrees well for most practical purposes with the observed distributions. In fact, the model is found to be highly consistent with those observa-tions in the ideal situation for which a consistency analysis was carried out. In the other two situations it is found that the shape of the direc-tional energy distribution is strongly influenced by the geometry of the upwind coastline. Thls suggests a directionally decoupled generation of the waves. The results of a simple parametric wave hindcasting model support this suggestion.

The shape of the observed functional relationship between the width para-meter s of the cos2s(8/2)-model and the wavenumber agrees fairly well with the shapes suggested by Mitsuyasu et al. (1975) andHasselmann et al. (1980).

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