### PROBABILITY CHARACTERISTICS OF ZERO-CROSSING WAVE HEIGHT

#### Abstract

This study deals with the probability distribution of zero-crossing wave height applying the definition of the zero-up(down)-cross method faithfully. In this study, gap between wave crest or trough and the envelope at the same location, which has been neglected in the ordinary studies is taken into account in the wave height definition. Its probability distribution is approximated with the Weibull distribution. The probability distribution of the zero-crossing wave height is, then, introduced theoretically together with the theory by modified Tayfun Method and the statistical properties of the gaps. The numerically simulated irregular wave height distributions agree well with the theoretical distribution.

#### Keywords

zero-crossing height; wave height; probability

This work is licensed under a Creative Commons Attribution 3.0 License.