Open AccessSTATISTICAL PROPERTIES OF RANDOM WAVE GROUPS
Author(s) -
Akira Kimura
Publication year - 1980
Publication title -
proceedings of conference on coastal engineering/proceedings of ... conference on coastal engineering
Language(s) - English
Resource type - Journals
eISSN - 2156-1028
pISSN - 0589-087X
DOI - 10.9753/icce.v17.175
Subject(s) - weibull distribution , rayleigh distribution , markov chain , statistical physics , significant wave height , mathematics , electromagnetic spectrum , distribution (mathematics) , rayleigh wave , statistics , probability distribution , rayleigh scattering , surface wave , physics , mathematical analysis , wind wave , probability density function , optics , thermodynamics
This study deals with the statistical properties of the group formation of random waves determined by the zero-up-cross method. Probability distributions about (1) the run of high waves (2) the total run (3) the run of resonant wave period are derived theoretically providing that the time series of wave height and wave period form the Markov chain. Transition probabilities are given by the 2-dimensional Rayleigh distribution for the wave height train and the 2-dimensional Weibull distribution for the wave period train. And very good agreements between data and the theoretical distributions have been obtained. Then the paper discusses those parameters which affect the statistical properties of the runs and shows that the spectrum peakedness parameter for the. run of wave height and the spectrum width parameter for the run of wave period are the most predominant.