NON-GAUSSIAN PROBABILITY DISTRIBUTION OF COASTAL WAVES

M.K. Ochi, K. Ahn

Abstract


This paper presents the development of a probability density function applicable to waves in finite water depth (which can be considered to be a nonlinear, non-Gaussian random process) in closed form. The derivation of the density function is based on the Kac- Siegert solution developed for a nonlinear mechanical system, but the parameters involved in the solution are evaluated from the wave record only. Further, the probability density function is asymptotically expressed in closed form. Comparisons between the presently developed probability density function and histograms constructed from wave records show good agreement.

Keywords


probability distribution; non-Gaussian distribution

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