Krzysztof Podgórski
Prefekt Statistiska institutionen, Professor
Spatial size of waves
Författare
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.
Avdelning/ar
- Statistiska institutionen
Publiceringsår
2016
Språk
Engelska
Publikation/Tidskrift/Serie
Working Papers in Statistics
Issue
2016:3
Fulltext
Dokumenttyp
Working paper
Förlag
Department of Statistics, Lund university
Ämne
- Probability Theory and Statistics
Nyckelord
- Gaussian fields
- Rice formula
- sea surface
- directional spectra
- wave statistics
- wave crest
Aktiv
Published