Applicability of envelope model equations for simulation of narrow-spectrum unidirectional random wave field evolution: Experimental validation

Physics of Fluids

Volumn 22, Issue 1, 2010, Pages 1-9

  Shemer, Lev ^a   Sergeeva, Anna ^b   Slunyaev, Alexey ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS; TANKS (CONTAINERS); WATER WAVES;

COMPUTATIONAL DOMAINS; EXPERIMENTAL AND NUMERICAL STUDIES; EXPERIMENTAL VALIDATIONS; GAUSSIAN STATISTICS; LABORATORY EXPERIMENTS; LABORATORY MEASUREMENTS; STATISTICAL CHARACTERISTICS; STATISTICAL PARAMETERS;

STATISTICS;

EID: 77951028967     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.862466     Document Type: Article

References (37)

1. Hasselmann K. On the nonlinear energy transfer in a gravity wave spectrum. Part 1. General theory. J. Fluid Mech. 1962, 12:481. JFLSA7, 0022-1120, 10.1017/S0022112062000373
2. Zakharov V. Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid. Eur. J. Mech. B/Fluids 1999, 18:327. EJBFEV, 0997-7546, 10.1016/S0997-7546(99)80031-4
3. Janssen P.A. E. M. Nonlinear four-wave interactions and freak waves. J. Phys. Oceanogr. 2003, 33:863. JPYOBT, 1520-0485, 10.1175/1520-0485(2003)33<863:NFIAFW>2.0.CO;2
4. Longuet-Higgins M. On the statistical distribution of the heights of sea waves. J. Mar. Res. 1952, 11:245. JMMRAO, 0022-2402
5. Longuet-Higgins M. The effect of nonlinearities on statistical distributions in the theory of sea waves. J. Fluid Mech. 1963, 17:459. JFLSA7, 0022-1120, 10.1017/S0022112063001452
6. Naess A. On the distribution of crest-to-trough wave heights. Ocean Eng. 1985, 12:221. OCENBQ, 0029-8018, 10.1016/0029-8018(85)90014-9
7. Tayfun M.A. Narrow-band nonlinear sea waves. J. Geophys. Res. [Oceans] 1980, 85:1548. 10.1029/JC085iC03p01548, 0029-8174, ,,, doi:10.1029/JC085iC03p01548 .
8. Tayfun M.A. Statistics of nonlinear wave crests and groups. Ocean Eng. 2006, 33:1589. OCENBQ, 0029-8018, 10.1016/j.oceaneng.2005.10.007
9. Mori N. Yasuda T. A weakly non-Gaussian model of wave height distribution for random wave train. Ocean Eng. 2002, 29:1219. OCENBQ, 0029-8018, 10.1016/S0029-8018(01)00075-0, and
10. Tayfun M.A. Fedele F. Wave height distributions and nonlinear effects. Ocean Eng. 2007, 34:1631. OCENBQ, 0029-8018, 10.1016/j.oceaneng.2006.11.006
11. Zakharov V.E. Stability of periodic waves of finite amplitude on the surface of deep fluid. J. Appl. Mech. Tech. Phys. 1968, 2:190. JMPYAQ, 0021-8944
12. Stiassnie M. Shemer L. On the interaction of four water-waves. Wave Motion 2005, 41:307. WAMOD9, 0165-2125, 10.1016/j.wavemoti.2004.07.002
13. Annenkov S.Y. Shrira V.I. Direct numerical simulation of downshift and inverse cascade for water wave turbulence. Phys. Rev. Lett. 2006, 96:204501. PRLTAO, 0031-9007, 10.1103/PhysRevLett.96.204501
14. Annenkov S.Y. Shrira V.I. Role of non-resonant interactions in the evolution of nonlinear random water wave fields. J. Fluid Mech. 2006, 561:181. JFLSA7, 0022-1120, 10.1017/S0022112006000632
15. Onorato M. Osborne A. Serio M. Cavaleri L. Proceedings of the Workshop Rogue Waves 2004 2005, 308. M. Olagnon, M. Prevosto, , in, Brest, France, edited by and (Ifremer, Plouzané, ), p.
16. Dysthe K.B. Trulsen K. Krogstad H.E. Socquet-Juglard H. Evolution of a narrow-band spectrum of random surface waves. J. Fluid Mech. 2003, 478:1. JFLSA7, 0022-1120, 10.1017/S0022112002002616,
17. Socquet-Juglard H. Dysthe K. Trulsen K. Krogstad H.E. Liu J. Probability distributions of surface gravity waves during spectral changes. J. Fluid Mech. 2005, 542:195. JFLSA7, 0022-1120, 10.1017/S0022112005006312
18. Dysthe K.B. Note on a modification to the nonlinear Schrödinger equation for application to deep water waves. Proc. R. Soc. London, Ser. A 1979, 369:105. PRLAAZ, 0950-1207, 10.1098/rspa.1979.0154
19. Tanaka M. On the role of resonant interactions in the short-term evolution of deep-water ocean spectra. J. Phys. Oceanogr. 2007, 37:1022. JPYOBT, 1520-0485, 10.1175/JPO3029.1
20. Lo E. Mei C.C. A numerical study of water-wave modulation based on a higher-order nonlinear Schrödinger equation. J. Fluid Mech. 1985, 150:395. JFLSA7, 0022-1120, 10.1017/S0022112085000180
21. Shemer L. Kit E. Jiao H.-Y. Eitan O. Experiments on nonlinear wave groups in intermediate water depth. J. Waterway, Port, Coastal, Ocean Eng. 1998, 124:320. JWPED5, 0733-950X, 10.1061/(ASCE)0733-950X(1998)124:6(320)
22. Shemer L. Jiao H.-Y. Kit E. Agnon Y. Evolution of a nonlinear wave field along a tank: Experiments and numerical simulations based on the spatial Zakharov equation. J. Fluid Mech. 2001, 427:107. JFLSA7, 0022-1120, 10.1017/S0022112000002305
23. Shemer L. Kit E. Jiao H.-Y. An experimental and numerical study of the spatial evolution of unidirectional nonlinear water-wave groups. Phys. Fluids 2002, 14:3380. PHFLE6, 1070-6631, 10.1063/1.1501908
24. Shemer L. Goulitski K. Kit E. Evolution of wide-spectrum wave groups in a tank: An experimental and numerical study. Eur. J. Mech. B/Fluids 2007, 26:193. EJBFEV, 0997-7546, 10.1016/j.euromechflu.2006.06.004
25. Trulsen K. Kliakhandler I. Dysthe K.B. Velarde M.G. On weakly nonlinear modulation of waves on deep water. Phys. Fluids 2000, 12:2432. PHFLE6, 1070-6631, 10.1063/1.1287856
26. Shemer L. Dorfman B. Experimental and numerical study of spatial and temporal evolution of nonlinear wave groups. Nonlinear Processes Geophys. 2008, 15:931. 1023-5809
27. Kit E. Shemer L. Spatial versions of the Zakharov and Dysthe equations for deep water gravity waves. J. Fluid Mech. 2002, 450:201. JFLSA7, 0022-1120, 10.1017/S0022112001006498
28. Trulsen K. Stansberg C.T. Proceedings of the 11th International Offshore and Polar Engineering Conference 2001, III:71-77. J. S. Chung, M. Prevosto, N. Mizutani, in, Stavanger, Norway, edited by, (ISOPE, Cupertino, )
29. Mori N. Onorato M. Janssen P.A. E. M. Osborne A.R. Serio M. On the extreme statistics of long crested deep water waves: Theory and experiments. J. Geophys. Res. [Oceans] 2007, 112:C09011. 10.1029/2006JC004024, doi:10.1029/2006JC004024 .
30. Shemer L. Sergeeva A. An experimental study of spatial evolution of statistical parameters in a unidirectional narrow-banded random wavefield. J. Geophys. Res., [Oceans] 2009, 114:C01015. 10.1029/2008JC005077,doi:10.1029/2008JC005077
31. Hogan S.J. The potential form of the fourth-order evolution equation for deep-water gravity-capillary waves. Phys. Fluids 1986, 29:3479. PHFLE6, 1070-6631, 10.1063/1.865816
32. Alber A.I. The effect of randomness on the stability of two-dimensional surface wavetrains. Proc. R. Soc. London, Ser. A 1978, 363:525. PRLAAZ, 0950-1207, 10.1098/rspa.1978.0181
33. Slunyaev A. Pelinovsky E. Guedes Soares C. Modeling freak waves from the North Sea. Appl. Ocean Res. 2005, 27:12. 10.1016/j.apor.2005.04.002, 0141-1187
34. Dean R.G. Dalrymple R.A. Water Wave Mechanics for Engineers and Scientists 1991, (World Scientific, Singapore, ).
35. Annenkov S.Y. Shrira V.I. Evolution of kurtosis for wind waves. Geophys. Res. Lett. 2009, 36:L13603. GPRLAJ, 0094-8276, 10.1029/2009GL038613, ,,, doi:10.1029/2009GL038613 .
36. Stiassnie M. Regev A. Agnon Y. Recurrent solutions of Alber's equation for random water-wave fields. J. Fluid Mech. 2008, 598:245. JFLSA7, 0022-1120, 10.1017/S0022112007009998
37. Regev A. Agnon Y. Stiassnie M. Sea-swell interaction as a mechanism for generation of freak waves. Phys. Fluids 2008, 20:112102. PHFLE6, 1070-6631, 10.1063/1.3012542