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Spatial size of waves

Podgórski, Krzysztof LU and Rychlik, Igor (2016) In Working Papers in Statistics
Abstract
A method of measuring three-dimensional spatial wave size is proposed and statistical distributions of the size characteristics are derived in explicit integral forms for Gaussian sea surfaces. New definitions of wave characteristics such as the crest-height, the length, the size and the wave front location are provided in fully dimensional context. The joint statistical distributions of these wave characteristics are expressed in the terms of a directional power spectrum. The proposed approach allows for investigation of the influence of spectral shape and directionality on the joint distributions of the size characteristics. The method is validated by comparing numerical evaluations of the distributions with the observed frequencies... (More)
A method of measuring three-dimensional spatial wave size is proposed and statistical distributions of the size characteristics are derived in explicit integral forms for Gaussian sea surfaces. New definitions of wave characteristics such as the crest-height, the length, the size and the wave front location are provided in fully dimensional context. The joint statistical distributions of these wave characteristics are expressed in the terms of a directional power spectrum. The proposed approach allows for investigation of the influence of spectral shape and directionality on the joint distributions of the size characteristics. The method is validated by comparing numerical evaluations of the distributions with the observed frequencies extracted from simulations of sea surface. The comparisons demonstrate high accuracy of the obtained distributions. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Working Paper
publication status
published
subject
keywords
Gaussian fields, Rice formula, sea surface, directional spectra, wave statistics, wave crest
in
Working Papers in Statistics
issue
2016:3
pages
21 pages
publisher
Department of Statistics, Lund university
language
English
LU publication?
yes
id
2a88e9e8-913f-4a36-9b8e-52d536cdcbe5
date added to LUP
2016-09-21 13:29:58
date last changed
2016-10-31 10:15:23
@misc{2a88e9e8-913f-4a36-9b8e-52d536cdcbe5,
  abstract     = {A method of measuring three-dimensional spatial wave size is proposed and statistical distributions of the size characteristics are derived in explicit integral forms for Gaussian sea surfaces. New definitions of wave characteristics such as the crest-height, the length, the size and the wave front location are provided in fully dimensional context. The joint statistical distributions of these wave characteristics are expressed in the terms of a directional power spectrum. The proposed approach allows for investigation of the influence of spectral shape and directionality on the joint distributions of the size characteristics. The method is validated by comparing numerical evaluations of the distributions with the observed frequencies extracted from simulations of sea surface. The comparisons demonstrate high accuracy of the obtained distributions.},
  author       = {Podgórski, Krzysztof and Rychlik, Igor},
  keyword      = {Gaussian fields,Rice formula,sea surface,directional spectra,wave statistics, wave crest},
  language     = {eng},
  number       = {2016:3},
  pages        = {21},
  publisher    = {ARRAY(0xa7dfdf8)},
  series       = {Working Papers in Statistics},
  title        = {Spatial size of waves},
  year         = {2016},
}