This paper investigates the effect of third-order nonlinearities on the statistical distributions of wave heights, crests, and troughs of waves mechanically generated in a deep-water basin and simulating two crossing systems characterized by bimodal spectra. The observed statistics exhibits various effects of third-order nonlinearities, in a manner dependent on both the distance from the wave-maker and the angle between the mean directions of the component wave systems. In order to isolate and demonstrate the effects of third-order nonlinearities by themselves, the vertically asymmetric distortions induced by second-order bound waves are removed from the observed time series. It appears then that the distributions of wave crests, troughs and heights extracted from the nonskewed records clearly deviate from the Rayleigh distribution, suggesting that the waves are characterized by nonlinear corrections of higher-order than the typical of second-order waves. Nonetheless, some models developed for weakly nonlinear second-order waves can still be used in describing wave heights, crests and troughs in mixed seas, provided that the relevant distribution parameters are modified, so as to reflect the effects of third-order corrections and some basic characteristics of the mixed seas.
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The Effect of Third-Order Nonlinearities on the Statistical Distributions of Wave Heights, Crests and Troughs in Bimodal Crossing Seas
Petya G. Petrova,
Petya G. Petrova
Centre for Marine Technology and Engineering (CENTEC),
Instituto Superior Técnico
,Technical University of Lisbon
,Av. Rovisco Pais 1049-001
,Lisboa
, Portugal
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M. Aziz Tayfun,
M. Aziz Tayfun
College of Engineering and Petroleum,
Kuwait University
,Safat 13060, Kuwait
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C. Guedes Soares
C. Guedes Soares
1
Centre for Marine Technology and Engineering (CENTEC),
Av. Rovisco Pais 1049-001,
Lisboa,
e-mail: guedess@mar.ist.utl.pt
Instituto Superior Técnico
,Technical University of Lisbon
,Av. Rovisco Pais 1049-001,
Lisboa,
Portugal
e-mail: guedess@mar.ist.utl.pt
1Corresponding author.
Search for other works by this author on:
Petya G. Petrova
Centre for Marine Technology and Engineering (CENTEC),
Instituto Superior Técnico
,Technical University of Lisbon
,Av. Rovisco Pais 1049-001
,Lisboa
, Portugal
M. Aziz Tayfun
College of Engineering and Petroleum,
Kuwait University
,Safat 13060, Kuwait
C. Guedes Soares
Centre for Marine Technology and Engineering (CENTEC),
Av. Rovisco Pais 1049-001,
Lisboa,
e-mail: guedess@mar.ist.utl.pt
Instituto Superior Técnico
,Technical University of Lisbon
,Av. Rovisco Pais 1049-001,
Lisboa,
Portugal
e-mail: guedess@mar.ist.utl.pt
1Corresponding author.
Contributed by the Ocean Offshore and Arctic Engineering Division of ASME for publication in the Journal of Offshore Mechanics and Arctic Engineering. Manuscript received May 1, 2011; final manuscript received October 9, 2011; published online February 25, 2013. Assoc. Editor: Arvid Naess.
J. Offshore Mech. Arct. Eng. May 2013, 135(2): 021801 (9 pages)
Published Online: February 25, 2013
Article history
Received:
May 1, 2011
Revision Received:
October 9, 2011
Citation
Petrova, P. G., Aziz Tayfun, M., and Guedes Soares, C. (February 25, 2013). "The Effect of Third-Order Nonlinearities on the Statistical Distributions of Wave Heights, Crests and Troughs in Bimodal Crossing Seas." ASME. J. Offshore Mech. Arct. Eng. May 2013; 135(2): 021801. https://doi.org/10.1115/1.4007381
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