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Spatial size of waves

Journal article
Authors Krzysztof Podgorski
Igor Rychlik
Published in Marine Structures
Volume 50
Pages 55 - 71
ISSN 0951-8339
Publication year 2016
Published at Department of Mathematical Sciences
Pages 55 - 71
Language en
Links dx.doi.org/10.1016/j.marstruc.2016....
Keywords Gaussian fields, Rice formula, Sea surface, Directional spectra, Wave statistics, Wave crest, Wave crest length, Wave size
Subject categories Probability Theory and Statistics

Abstract

Measures of three-dimensional spatial wave size are proposed and expressed in terms of properly defined characteristics: the crest-height, the length, and the wave front location. Their statistical distributions are presented in explicit integral forms for the deep water seas modeled as Gaussian fields. The proposed approach allows for investigation of the effect that shape and directionality of the sea spectrum have on the joint distributions of the size characteristics. The method is validated by comparing numerical evaluations of the distributions with observed frequencies extracted from simulated sea surfaces. The comparisons demonstrate high accuracy of the evaluations.

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