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Discrete evolution of the surface wave spectrum on a nonuniform adverse current

  • Oceanology
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Abstract

The major aim of this study is experimental verification and theoretical modeling of the modulation instability during the fast evolution of steep surface waves in the presence of an adverse current. One or several times, the maximum of the wave spectrum moves discretely to the low-frequency range. The adverse current intensifies and accelerates this process.

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References

  1. T. B. Benjamin and J. E. Feir, J. Fluid Mech. 27, 417–430 (1967).

    Article  Google Scholar 

  2. A. Chawla and J. T. Kirby, J. Geophys. Res. 107, 4-1–419 (2002).

  3. J. L. Hammack and D. M. Henderson, Ann. Rev. Fluid Mech. 25, 55–97 (1993).

    Article  Google Scholar 

  4. N. E. Huang, S. R. Long, and Z. Shen, Adv. Appl. Mech. 32, 59–117 (1996).

    Article  Google Scholar 

  5. H. Hwung, W. Chiang, R. Yang, and I. Shugan, Europ. J. Mech. B-Fluids 30, 147–155 (2011).

    Article  Google Scholar 

  6. Hwung Hwung-Hweng, Chiang Wen-Son, and ShihChun Hsiao, Proc. Royal Soc. London A 463, 85–112 (2007).

    Article  Google Scholar 

  7. Y. Ma, G. Dong, M. Perlin, X. Ma, G. Wang, and J. Xu, J. Fluid Mech. 661, 108–129 (2010).

    Article  Google Scholar 

  8. O. M. Phillips, The Dynamics of the Upper Ocean (Cambridge Univ. Press, Cambridge, 1977).

    Google Scholar 

  9. A. Ramamonjiarisoa and E. Mollo-Christensen, J. Geophys. Res. 84, 7769–7775 (1979).

    Article  Google Scholar 

  10. Y. Saprykina and S. Kuznetsov, in Proceeding of XXXI International Conference on Coastal Engineering, Ed. by J. McKee Smith (World Sci., Singapore, 2009), Vol. 1, pp. 357–369.

  11. M. P. Tulin, in Waves and Nonlinear Processes in Hydrodynamics, Ed. by J. Grue, B. Gjevik, and J. E. Weber (Kluwer, London, 1996), pp. 177–190.

  12. M. P. Tulin and T. Waseda, J. Fluid Mech. 378, 197–232 (1999).

    Article  Google Scholar 

  13. S. Yu. Kuznetsov, Ya. V. Saprykina, R. D. Kos’yan, and O. V. Pushkarev, Dokl. Earth Sci. 408 (4), 570–574 (2006).

    Article  Google Scholar 

  14. S. Yu. Kuznetsov, V. A. Dulov, Ya. V. Saprykina, S. F. Dotsenko, V. V. Malinovskii, V. G. Polnikov, and M. V. Shokurov, Extremely Dangerous Storm Conditions in Black Sea, in Scientific Series. Modern Problems of Oceanology (MGI NAN Ukraine, Sevastopol, 2011), issue 9.

    Google Scholar 

  15. S. Yu. Kuznetsov and Ya. V. Saprykina, Fundam. Priklad. Gidrofiz. 5 (1), 52–64 (2012).

    Google Scholar 

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Correspondence to S. Yu. Kuznetsov.

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Original Russian Text © Ya.V. Saprykina, S.Yu. Kuznetsov, I.V. Shugan, Hwung-Hweng Hwung, Wen-Yang Hsu, Ray-Yeng Yang, 2015, published in Doklady Akademii Nauk, 2015, Vol. 464, No. 5, pp. 618–622.

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Saprykina, Y.V., Kuznetsov, S.Y., Shugan, I.V. et al. Discrete evolution of the surface wave spectrum on a nonuniform adverse current. Dokl. Earth Sc. 464, 1075–1079 (2015). https://doi.org/10.1134/S1028334X15100177

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  • DOI: https://doi.org/10.1134/S1028334X15100177

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