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Experimental Investigations of Freak Waves Arising During the Evolution of Narrow Spectrum of Steep Waves

Abstract

Process of freak waves formation as a result of transformation of initial narrow wave spectrum considered on the base of laboratory experiments. It is demonstrated that downshifting of spectral maximum occurs during the propagation of steep initially monochromatic and bichromatic waves. This downshifting is the main reason of variability of amplitude-frequency contents of individual waves and, as sequence, the freak wave’s formation. In paper is considered how the evolution of spectrum depends on initial steepness of waves and spectral wideness.

About the Authors

S. Yu. Kuznetsov
Институт океанологии им.П.П. Ширшова РАН
Russian Federation


Ya. V. Saprykina
Институт океанологии им.П.П. Ширшова РАН
Russian Federation


References

1. Куркин А.А., Пелиновский Е.Н. Волны-убийцы: факты, теория и моделирование. Н.Новгород: Нижегородский гос. техн. университет, 2004. 158 с.

2. Pelinovsky E.T. Talipova C., Khariff. Nonlinear-dispersive mechanism of freak wave formation in shallow water// Physica D. 2000. V.147. P.83–94.

3. Badulin S., Korotkevich A., Resio D., Zakharov V. Wave-wave interactions in wind-driven mixed seas // Proc. of the Rogue Waves 2008 Workshop, October 13–15, 2008. Brest, France.

4. Dysthe K.B., Trulsen K. Note on breather type solutions of NLS as a model for freak waves // Physica Scripta. 1999. V.82. P.48–52.

5. Osborne A.R., Onorato M., Serio M. The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains // Phys. Let. 2000. A 275. P.385–393.

6. Janssen P.A.E.M. Nonlinear four-wave interactions and freak waves // J. of Physical Oceanography. 2003. V.33. P.863–884.

7. Dyachenko A.I., Zakharov V.E. Modulation instability of stokes wave --> freak wave // Письма в ЖЭТФ. 2005. Вып.6, Т.81. C.318–322.

8. Кузнецов С.Ю., Сапрыкина Я.В., Косьян Р.Д., Пушкарев О.В. Механизм образования экстремальных штормовых волн на Черном море // Докл. АН. 2006. Т.408, № 1. С.108–112.

9. Kuznetsov S., Saprykina Ya. Fine structure and peculiarities of wave spectra with Benjamin – Feir instability // Proc. of Int. Workshop «Rogue Waves 2008», Brest (13–15 October), France, IFREMER. http://www.ifremer.fr/web-com/stw2008/rw/Proceedings_Rogue_Waves_2008.pdf.

10. Saprykina Y., Kuznetsov S. Nonlinear mechanisms of formation of wave irregularity on deep and shallow water // Proc. of 31th Int. Conf. on Coastal Eng. / Еd. by J.McKee Smith. World Scientific, 2009. V.1. P.357– 369.

11. Onorato M., Osborne, A.R., Serio M. Modulation instability and non-Gaussian statistics in experimental random water wave tank // Physics of Fluids 17. 2005. 078101.

12. Onorato M. et al. Statistical properties of directional ocean waves: The role of modulation instability in the formation of extrem events // Phys. Rev. Let. 102. 2009. 114502.

13. Сапрыкина Я.В., Дулов В.А., Кузнецов С.Ю., Смолов В.Е. Аномально высокие волны в Черном море: механизм и условия возникновения // Экологическая безопасность прибрежной и шельфовой зон и комплексное использование ресурсов шельфа: К 30-летию океанографической платформы в Кацивели. (Сб. науч. тр.). Вып.21. 2010. НАН Украины: МГИ, ИГН, ОФ ИнБЮМ, Севастополь.

14. Kartashova E, Shugan I.V. Dynamical cascade generation as a basic mechanism of Benjamin-Feir instability // EPL. 2011. 95. 30003.

15. Юэн Г., Лэйк Б. Нелинейная динамика гравитационных волн на глубокой воде. М.: Мир, 1987. 180 с.

16. Hwung-Hweng Hwung, Wen-Son Chiang, Shih-Chun Hsiao. Observations on the evolution of wave modulation // Proc. the Royal. Soc. A 2007. 463. Р.85–112.

17. Tulin M.P., Waseda T. Laboratory observations of wave group evolution, including breaking effects // J. Fluid Mech. 1999. 378. Р.197–232.


Review

For citations:


Kuznetsov S.Yu., Saprykina Ya.V. Experimental Investigations of Freak Waves Arising During the Evolution of Narrow Spectrum of Steep Waves. Fundamental and Applied Hydrophysics. 2012;5(1):52-63. (In Russ.)

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