Spatial size of waves
Journal article, 2016

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. Thecomparisons demonstrate high accuracy of the evaluations.

Gaussian fields

Sea surface

Wave statistics

Wave size

Wave crest

Rice formula

Directional spectra

Wave crest length


Krzysztof Podgorski

Lund University

Igor Rychlik

Chalmers, Mathematical Sciences, Mathematical Statistics

University of Gothenburg

Marine Structures

0951-8339 (ISSN)

Vol. 50 55 - 71

Subject Categories

Probability Theory and Statistics



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