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Portrait of Krzysztof Podgórski. Photo.

Krzysztof Podgórski

Professor, Head of the Department of Statistics

Portrait of Krzysztof Podgórski. Photo.

Spatial size of waves

Author

  • Krzysztof Podgórski
  • Igor Rychlik

Summary, in English

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.

Department/s

  • Department of Statistics

Publishing year

2016

Language

English

Publication/Series

Working Papers in Statistics

Issue

2016:3

Document type

Working paper

Publisher

Department of Statistics, Lund university

Topic

  • Probability Theory and Statistics

Keywords

  • Gaussian fields
  • Rice formula
  • sea surface
  • directional spectra
  • wave statistics
  • wave crest

Status

Published