Krzysztof Podgórski
Professor, Head of the Department of Statistics
Spatial size of waves
Author
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
Full text
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