Space-time evolution of wave groups in crossing seas with the Quasi-determinism theory

2014 ◽  
Vol 91 ◽  
pp. 350-362 ◽  
Author(s):  
A. Santoro ◽  
C. Guedes Soares ◽  
F. Arena
2005 ◽  
Vol 127 (1) ◽  
pp. 46-51 ◽  
Author(s):  
Felice Arena ◽  
Francesco Fedele

The theory of quasi-determinism, for the mechanics of linear random wave groups was obtained by Boccotti in the eighties. The first formulation of the theory deals with the largest crest amplitude; the second formulation deals with the largest wave height. In this paper the first formulation of Boccotti’s theory, particularized for long-crested waves, is extended to the second-order. The analytical expressions of the nonlinear free surface displacement and velocity potential are obtained. The space–time evolution of the nonlinear wave group, when a very large crest occurs at a fixed time and location, is then shown. Finally the second-order probability of exceedance of the crest amplitude is obtained and validated by Monte Carlo simulation.


Author(s):  
Anita Santoro ◽  
C. Guedes Soares ◽  
Felice Arena

The space-time evolution of high wave groups in crossing seas is studied. Profiles are calculated by applying Quasideterminism theory of Boccotti to laboratory data, given that a high crest takes place in a fixed point in the basin. It is observed that the high waves group is given by the superposition of two wave groups, associated one to the low-frequency component of the frequency spectrum and the other to the high-frequency one. It is shown how in crossing seas, the change in direction of one system affects the evolution of the related group, without any influence on the evolution of the other one. Different locations of high crest occurrence have been considered in order to study the effect of the change in spectrum on the deterministic profiles. It is shown that in crossing seas the profile at each location reflects the spectrum related to that specific point.


2011 ◽  
Vol 38 (14-15) ◽  
pp. 1640-1648 ◽  
Author(s):  
Petya G. Petrova ◽  
Felice Arena ◽  
C. Guedes Soares

2001 ◽  
Vol 508 (3-4) ◽  
pp. 243-250 ◽  
Author(s):  
Fábio L. Braghin ◽  
Fernando S. Navarra

2016 ◽  
Vol 130 ◽  
pp. 05016 ◽  
Author(s):  
Andrzej Rybicki ◽  
Antoni Szczurek ◽  
Mariola Kłusek-Gawenda ◽  
Nikolaos Davis ◽  
Vitalii Ozvenchuk ◽  
...  

2009 ◽  
Vol 103 (14) ◽  
Author(s):  
S. Afanasiev ◽  
C. Aidala ◽  
N. N. Ajitanand ◽  
Y. Akiba ◽  
J. Alexander ◽  
...  

2009 ◽  
Vol 40 (4-5) ◽  
pp. 779-781 ◽  
Author(s):  
P. Pereyra ◽  
V.G. Ibarra-Sierra ◽  
J.L. Cardoso

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