The interest and the studies on nonlinear waves are increased recently for their importance in the interaction with floating and fixed bodies. It is also well known that nonlinearities influence wave crest and wave trough distributions, both deviating from Rayleigh law. In this paper a theoretical crest distribution is obtained taking into account the extension of Boccotti’s Quasi Determinism theory, up to the second order for the case of three-dimensional waves, in finite water depth. To this purpose the Fedele & Arena  distribution is generalized to three-dimensional waves on an arbitrary water depth. The comparison with Forristall second order model shows the theoretical confirmation of his conclusion: the crest distribution in deep water for long-crested and short crested waves are very close to each other; in shallow water the crest heights in three dimensional waves are greater than values given by long-crested model.
- Ocean, Offshore and Arctic Engineering Division
Nonlinear Crest Height Distribution in Three-Dimensional Ocean Waves
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Arena, F, & Ascanelli, A. "Nonlinear Crest Height Distribution in Three-Dimensional Ocean Waves." Proceedings of the ASME 2008 27th International Conference on Offshore Mechanics and Arctic Engineering. Volume 4: Ocean Engineering; Offshore Renewable Energy. Estoril, Portugal. June 15–20, 2008. pp. 679-686. ASME. https://doi.org/10.1115/OMAE2008-57944
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