Advertisement

JETP Letters

, Volume 102, Issue 10, pp 650–654 | Cite as

Anomalous wave as a result of the collision of two wave groups on the sea surface

  • V. P. Ruban
Plasma, Hydro- and Gas Dynamics

Abstract

The numerical simulation of the nonlinear dynamics of the sea surface has shown that the collision of two groups of relatively low waves with close but noncollinear wave vectors (two or three waves in each group with a steepness of about 0.2) can result in the appearance of an individual anomalous wave whose height is noticeably larger than that in the linear theory. Since such collisions quite often occur on the ocean surface, this scenario of the formation of rogue waves is apparently most typical under natural conditions.

Keywords

Wave Packet JETP Letter Rogue Wave Wave Group Nonlinear Mechanism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    C. Kharif and E. Pelinovsky, Eur. J. Mech. B: Fluids 22, 603 (2003).CrossRefMathSciNetMATHGoogle Scholar
  2. 2.
    K. Dysthe, H. E. Krogstad, and P. Müller, Ann. Rev. Fluid Mech. 40, 287 (2008).CrossRefADSGoogle Scholar
  3. 3.
    M. Onorato, S. Residori, U. Bortolozzo, A. Montina, and F. T. Arecchi, Phys. Rep. 528, 47 (2013).CrossRefADSMathSciNetGoogle Scholar
  4. 4.
    Special Issue, Eur. J. Mech. B. Fluids 25, 535 (2006).CrossRefMathSciNetGoogle Scholar
  5. 5.
    Special Issue, Eur. Phys. J.: Spec.Top. 185, 1 (2010).Google Scholar
  6. 6.
    V. E. Zakharov, J. Appl. Mech. Tech. Phys. 9, 190 (1968).CrossRefADSGoogle Scholar
  7. 7.
    T. B. Benjamin and J. E. Feir, J. Fluid Mech. 27, 417 (1967).CrossRefADSMATHGoogle Scholar
  8. 8.
    M. Onorato, A. R. Osborne, and M. Serio, Phys. Fluids 14, L25 (2002).CrossRefADSMathSciNetGoogle Scholar
  9. 9.
    O. Gramstad and K. Trulsen, J. Fluid Mech. 582, 463 (2007).CrossRefADSMathSciNetMATHGoogle Scholar
  10. 10.
    M. Onorato, T. Waseda, A. Toffoli, L. Cavaleri, O. Gramstad, P. A. E. M. Janssen, T. Kinoshita, J. Monbaliu, N. Mori, A. R. Osborne, M. Serio, C. T. Stansberg, H. Tamura, and K. Trulsen, Phys. Rev. Lett. 102, 114502 (2009).CrossRefADSGoogle Scholar
  11. 11.
    M. Onorato, L. Cavaleri, S. Fouques, O. Gramstad, P. A. E. M. Janssen, J. Monbaliu, A. R. Osborne, C. Pakozdi, M. Serio, C. T. Stansberg, A. Toffoli, and K. Trulsen, J. Fluid Mech. 627, 235 (2009).CrossRefADSMATHGoogle Scholar
  12. 12.
    A. Toffoli, O. Gramstad, K. Trulsen, J. Monbaliu, E. Bitner-Gregersen, and M. Onorato, J. Fluid Mech. 664, 313 (2010).CrossRefADSMathSciNetMATHGoogle Scholar
  13. 13.
    V. E. Zakharov, A. I. Dyachenko, and O. A. Vasilyev, Eur. J. Mech. B: Fluids 21, 283 (2002).CrossRefMathSciNetMATHGoogle Scholar
  14. 14.
    A. I. Dyachenko and V. E. Zakharov, JETP Lett. 81, 255 (2005).CrossRefADSGoogle Scholar
  15. 15.
    V. E. Zakharov, A. I. Dyachenko, and O. A. Prokofiev, Eur. J. Mech. B: Fluids 25, 677 (2006).CrossRefADSMathSciNetMATHGoogle Scholar
  16. 16.
    A. Chabchoub, N. P. Hoffmann, and N. Akhmediev, Phys. Rev. Lett. 106, 204502 (2011).CrossRefADSGoogle Scholar
  17. 17.
    M. Onorato, A. R. Osborne, and M. Serio, Phys. Rev. Lett. 96, 014503 (2006).CrossRefADSGoogle Scholar
  18. 18.
    P. K. Shukla, I. Kourakis, B. Eliasson, M. Marklund, and L. Stenflo, Phys. Rev. Lett. 97, 094501 (2006).CrossRefADSGoogle Scholar
  19. 19.
    V. P. Ruban, Phys. Rev. E 74, 036305 (2006).CrossRefADSGoogle Scholar
  20. 20.
    V. P. Ruban, Phys. Rev. Lett. 99, 044502 (2007).CrossRefADSGoogle Scholar
  21. 21.
    V. P. Ruban, J. Exp. Theor. Phys. 110, 529 (2010).CrossRefGoogle Scholar
  22. 22.
    V. P. Ruban, JETP Lett. 97, 686 (2013).CrossRefADSGoogle Scholar
  23. 23.
    V. P. Ruban, J. Exp. Theor. Phys. 120, 925 (2015).CrossRefADSGoogle Scholar
  24. 24.
    L. Bergé, Phys. Lett. A 189, 290 (1994).CrossRefADSGoogle Scholar
  25. 25.
    L. Bergé, J. J. Rasmussen, E. A. Kuznetsov, E. G. Shapiro, and S. K. Turitsyn, J. Opt. Soc. Am. B 13, 1879 (1996).CrossRefADSGoogle Scholar
  26. 26.
    L. Bergé, Phys. Rep. 303, 259 (1998).CrossRefADSMathSciNetGoogle Scholar
  27. 27.
    V. P. Ruban and J. Dreher, Phys. Rev. E 72, 066303 (2005).CrossRefADSMathSciNetGoogle Scholar
  28. 28.
    V. P. Ruban, Eur. Phys. J. Spec. Top. 185, 17 (2010).CrossRefGoogle Scholar

Copyright information

© Pleiades Publishing, Inc. 2015

Authors and Affiliations

  1. 1.Landau Institute for Theoretical PhysicsRussian Academy of SciencesChernogolovka, Moscow regionRussia

Personalised recommendations