Publicações

Petrova, P.G., Tayfun, M.A. e Guedes Soares, C. (2011), “The effect of third-order nonlinearities on the statist“The Effect of Third Order Nonlinearities on the Statistics Distributions of Wave Heights, Crests and Troughs in Bimodal Crossing Seas”, Proceedings of the ASME 2011 30th International Confeerence on Ocean, Offshore and Arctic Engineering, 19-24 June, 2011, Rotterdam, The Netherlands, Vol. 2, pp. 923-933.

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 deepwater basin, simulating two crossing systems characterized by bimodal spectra. Observed statistics exhibit 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, 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 non-skewed series clearly deviate from the Rayleigh distribution, suggesting that 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 relevant distribution parameters are modified so as to reflect the effects of third order corrections and some basic characteristics of mixed seas.

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