Narrow‐band nonlinear sea waves
- 20 March 1980
- journal article
- Published by American Geophysical Union (AGU) in Journal of Geophysical Research: Oceans
- Vol. 85 (C3) , 1548-1552
- https://doi.org/10.1029/jc085ic03p01548
Abstract
Probabilistic description of nonlinear waves with a narrow‐band spectrum is simplified to a form in which each realization of the surface displacement becomes an amplitude‐modulated Stokes wave with a mean frequency and random phase. Under appropriate conditions this simplification provides a convenient yet rigorous means of describing nonlinear effects on sea surface properties in a semiclosed or closed form. In particular, it is shown that surface displacements are non‐Gaussian and skewed, as was previously predicted by the Gram‐Charlier approximation; that wave heights are Rayleigh distributed, just as in the linear case; and that crests are non‐Rayleigh.This publication has 6 references indexed in Scilit:
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