Adaptable Representation of Joint Distribution of Wave Heights and Periods

Abstract

A practical form of the joint distribution of wave heights and periods is proposed in this paper. It is traditionally inevitable to employ the approximation of local-height and local-period in sense of simplicity. The ambiguous relation in the previous studies is pointed out, which is the doubtful assumption between the angular velocity and real-period, and then an altanative relation is introduced newly. It is an advantage in this study that the marginal distribution of wave height is obtained as the Rayleigh distribution. The proposed joint distribution is so adaptable that the effect of nonlinearity and wave-breaking will be easily taken into account.