Influence of crest and group length on the occurrence of freak waves

Journal of Fluid Mechanics

Volumn 582, Issue , 2007, Pages 463-472

  Gramstad, Odin ^a   Trulsen, Karsten ^a  

^a UNIVERSITY OF OSLO   (Norway)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FLUID MECHANICS; STATISTICS;

CREST LENGTHS; DEEP WATER; FREAK WAVES;

WATER WAVES;

COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; FLUID MECHANICS; STATISTICS; WATER WAVES;

DEEP WATER; GAUSSIAN METHOD; SIMULATION; WAVE MODELING; WAVELENGTH;

EID: 34548161654     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112007006507     Document Type: Article

References (24)

1. ALBER, I. E. 1978 The effects of randomness on the stability of two-dimensional surface wavetrains. Proc. R. Soc. Lond. A 363 525-546.
2. BENJAMIN, T. B. 1967 Instability of periodic wavetrains in nonlinear dispersive systems. Proc. R. Soc. Lond. A 299, 59-75.
3. CLAMOND, D. & GRUE, J. 2002 Interaction beween envelope solitons as a model for freak wave formations. Part I: Long time interaction. C. R. Méc. 330, 575-580.
4. CRAWFORD, D. R., SAFFMAN, P. G. & YUEN, H. C. 1980 Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves. Wave Motion 2, 1-16.
5. DYSTHE, K. B. 1979 Note on a modification to the nonlinear Schrödinger equation for application to deep water waves. Proc. R. Soc. Lond. A 369, 105-114.
6. DYSTHE, K. B. & TRULSEN, K. 1999 Note on breather type solutions of the NLS as models for freak-waves. Physica Scripta T82, 48-52.
7. JANSSEN, P. A. E. M. 2003 Nonlinear four-wave interactions and freak waves. J. Phys. Oceanogr. 33, 863-884.
8. LO, E. & MEI, C. C. 1985 A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation. J. Fluid Mech. 150, 395-416.
9. LO, E. Y. & MEI, C. C. 1987 Slow evolution of nonlinear deep water waves in two horizontal directions: A numerical study. Wave Motion 9, 245-259.
10. MCLEAN, J. W., MA, Y. C., MARTIN, D. U., SAFFMAN, P. G. & YUEN, H. C. 1981 Three-dimensional instability of finite-amplitude water waves. Phys. Rev. Lett. 46, 817-820.
11. MORI, N. & JANSSEN, P. A. E. M. 2006 On kurtosis and occurrence probability of freak waves. J. Phys. Oceanogr. 36, 1471-1483.
12. ONORATO, M., OSBORNE, A. R. & SERIO, M. 2002 Extreme wave events in directional, random oceanic sea states. Phys. Fluids 14, L25-L28.
13. ONORATO, M., OSBORNE, A. R. & SERIO, M. 2005a Modulational instability and non-Gaussian statistics in experimental random water-wave trains. Phys. Fluids 17, 1-4.
14. ONORATO, M., OSBORNE, A. R. & SERIO, M. 2005b On deviations from Gaussian statistics for surface gravity waves. In 'Aha Huliko'a Rogue Waves 2005, pp. 79-83.
15. ONORATO, M., OSBORNE, A. R. & SERIO, M. 2006 Modulational instability in crossing sea states: A possible mechanism for the formation of freak waves. Phys. Rev. Lett. 96, 1-4.
16. ONORATO, M., OSBORNE, A. R., SERIO, M. & BERTONE, S. 2001 Freak waves in random oceanic sea states. Phys. Rev. Lett. 86, 5831-5834.
17. ONORATO, M., OSBORNE, A. R., SERIO, M., CAVALERI, L., BRANDINI, C. & STANSBERG, C. T. 2004 Observation of strongly non-Gaussian statistics for random sea surface gravity waves in wave flume experiments. Phys. Rev. E 70, 1-4.
18. OSBORNE, A. R., ONORATO, M. & SERIO, M. 2000 The nonlinear dynamics of rogue waves and holes in deep-water gravity wave trains. Phys. Lett. A 275, 386-393.
19. SOCQUET-JUGLARD, H., DYSTHE, K., TRULSEN, K., KROGSTAD, H. E. & LIU, J. 2005 Probability distributions of surface gravity waves during spectral changes. J. Fluid Mech. 542, 195-216.
20. STANSBERG, C. T. 1994 Effects from directionality and spectral bandwidth on non-linear spatial modulations of deep-water surface gravity wave trains. In Proc. 24th Intl Conf. on Coastal Engineering, Kobe, Japan, October 23-28, 1994, pp. 579-593. ASCE.
21. TAYFUN, M. A. 1980 Narrow-band nonlinear sea waves. J. Geophys. Res. 85, 1548-1552.
22. TRULSEN, K. & DYSTHE, K. B. 1996 A modified nonlinear Schrödinger equation for broader bandwidth gravity waves on deep water. Wave Motion 24, 281-289.
23. WASEDA, T. 2006 Impact of directionality on the extreme wave occurrence in a discrete random wave system. In 9th Intl Workshop on Wave Hindcasting and Forecasting, Victoria, B.C., Canada, September 24-29, 2006.
24. YOUNG, I. R. 2006 Directional spectra of hurricane wind waves. J. Geophys. Res. 111 (C08020).