Abstract
The joint probability densities of up-crossing wave steepness and height and of up-crossing wave steepness and period are derived from Longuet-Higgins׳ joint probability density of wave period and amplitude for narrow band spectra. The formulae of the derived bivariate densities are fitted to numerically simulated data with narrow band spectra. Comparisons with bivariate steepness-period and steepness-height densities for ocean and tank waves are also presented. Concordance between joint distributions for different data types is verified with bivariate Kolmogorv–Smirnov test. The marginal probability density of wave steepness is obtained by numerical integration of the joint distributions and is compared with different data.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
