Cycle distributions for Gaussian waves - Exact and approximative results

Georg Lindgren, KB Broberg

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

Abstract

Wave cycle distributions are notoriously difficult to calculate. Available analytic approximations, like those suggested by Longuet-Higgins (1983) and Cavanie, Arhan and Ezraty (1976) make use only of a few spectral moments, and are unreliable for moderate waves. To find distributions under general spectrum shape and parameters one has to use efficient numerical algorithms based on high-dimensional integrals. The paper presents a number of examples of wave cycle distributions computed by the software package WAFO developed at Lund Institute of Technology; http://www.maths.lth.se/matstat/wafo/. All results are compared to simulated or real data. The wave cycles studied are the max-min cycle, the crest-trough wave cycles, the rainflow cycle distribution, and the mean-separated max-min cycle.
Original languageEnglish
Title of host publicationProceedings of The Fourteenth (2004) International Offshore and Polar Engineering Conference, vol 3
PublisherThe International Society of Offshore and Polar Engineers
Pages112-119
Publication statusPublished - 2004
Event14th International Offshore and Polar Engineering Conference (ISOPE 2004) - Toulon, France
Duration: 2004 May 232004 May 28

Conference

Conference14th International Offshore and Polar Engineering Conference (ISOPE 2004)
Country/TerritoryFrance
CityToulon
Period2004/05/232004/05/28

Subject classification (UKÄ)

  • Probability Theory and Statistics

Free keywords

  • wave period
  • stationary Gaussian process
  • density
  • spectral
  • random fatigue
  • rainflow cycles
  • crest-trough
  • max-min

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