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Article

Nonlinear Space–Time Evolution of Wave Groups With a High Crest

[+] Author and Article Information
Felice Arena

Department of Mechanics and Materials, University ‘Mediterranea’ of Reggio Calabria, Loc. Feo di Vito, 89100 Reggio Calabria, Italye-mail: arena@unirc.it

Francesco Fedele

Department of Civil & Environmental Engineering, University of Vermont, Votey Building 213, Burlington, VT 05405e-mail: ffedele@emba.uvm.edu

J. Offshore Mech. Arct. Eng 127(1), 46-51 (Mar 23, 2005) (6 pages) doi:10.1115/1.1854705 History: Received November 06, 2003; Revised October 06, 2004; Online March 23, 2005
Copyright © 2005 by ASME
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Figures

Grahic Jump Location
The second-order space–time evolution of a wave group in which a very large crest occurs at (X=0,T=to)
Grahic Jump Location
The second-order time evolution of a wave group in which a very large crest occurs. The solid lines give the second-order prediction [Eq. (38)]. The dotted line gives linear prediction [Eq. (6)], which is the “New wave” symmetric wave profile.
Grahic Jump Location
The time domain second-order wave pressure Δp at point (xo,z/Lp0=−0.05), when a very large crest height HC of free surface displacement occurs at (xo,T=0) (see Fig. 2). The solid lines give the second-order perdiction. The dotted line gives linear prediction.
Grahic Jump Location
The second-order time evolution of a wave group at fixed points X/Lp0, when a very large crest occurs at (X=0,T=0). The dotted lines show linear predictions, obtained from Boccotti’s quasi-determinism theory (first formulation).
Grahic Jump Location
The second-order time evolution of a wave group at fixed points X/Lp0(−0.20,−0.10,0,0.10,0.20) when a very large crest occurs at (X=0,T=0)
Grahic Jump Location
The second-order probability of exceeding the crest height, obtained both with presented model (continuous line) and with Forristall model (broken line). The dotted line gives the Rayleigh distribution (exact to the first-order). Data is obtained from numerical simulations.

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