A reappraisal of ocean wave studies

Journal of Geophysical Research: Oceans

Volumn 117, Issue 8, 2012, Pages

  Yuan, Yeli ^a   Huang, Norden E ^a,b  

^a FIRST INSTITUTE OF OCEANOGRAPHY   (China)

^b NATIONAL CENTRAL UNIVERSITY   (Taiwan)

Author keywords

[No Author keywords available]

Indexed keywords

GEOPHYSICAL APPLICATIONS; GLOBAL OCEAN; GOVERNING EQUATIONS; OCEAN DYNAMICS; RESEARCH COMMUNITIES; SOURCE FUNCTIONS; WAVE MODELS; WAVE MOTIONS; WAVE THEORY; WAVEFIELDS;

WATER WAVES;

HYDRODYNAMICS; OCEAN WAVE; PARAMETERIZATION; WAVE FIELD; WAVE MODELING; WAVE PROPAGATION;

EID: 84864837921     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/2011JC007768     Document Type: Article

References (91)

1. Airy, G. B. (1841a), Tides and waves, in Encyclopedia Metropolitan (1817-1845), vol. 3, Mixed Sciences, edited by H. J. Rose et al., pp. 281-344, B. Fellowes, London.
2. Airy, G. B. (1841b), Trigonometry, on the Figure of the Earth, Tides and Waves, 396 pp., S.N., London.
3. Babanin, A. V. (2009), Breaking of ocean surface waves, Acta Phys, Slovaca, 59(4), 305-535, doi:10.2478/v10155-010-0097-5.
4. Babanin, A. V. (2011), Breaking and Dissipation of Ocean Surface Waves, 480 pp., Cambridge Univ. Press, U. K., doi:10.1017/CBO9780511736162.
5. Banner, M. L., and O. M. Phillips (1976), On the incipient breaking of small scale water waves, J. Fluid Mech., 77, 825-842, doi:10.1017/ S0022112076002905.
6. Beal, R. C. (Ed.) (1991), Directional Ocean Wave Spectra, Johns Hopkins Univ. Press, Baltimore, Md.
7. Bliven, L. F., N. E. Huang, and S. R. Long (1986), Experimental study of the influence of wind on Benjamin-Feir sideband instability, J. Fluid Mech., 162, 237-260, doi:10.1017/S0022112086002033.
8. Cavaleri, L., B. Fox-Kemper, and M. Hemer (2012), Wind-waves in the coupled climate system, Bull. Am. Meteorol. Soc., doi:10.1175/BAMS-D-11-00170.1, in press.
9. Chen, S. S., W. Zhao, M. A. Donelan, J. F. Price, and E. J. Walsh (2007), The CBLAST-Hurricane program and the next-generation fully coupled atmosphere-wave-ocean models for hurricane research and prediction, Bull. Am. Meteorol. Soc., 88, 311-317, doi:10.1175/BAMS-88-3-311. (Pubitemid 46667341)
10. Craik, A. D. D. (2004), The origins of water wave theory, Annu. Rev. Fluid Mech., 36, 1-28, doi:10.1146/annurev.fluid.36.050802.122118. (Pubitemid 38394060)
11. Dai, D., F. Qiao, W. Sulisz, L. Han, and A. Babanin (2010), An experiment on the nonbreaking surface-wave-induced vertical mixing. J. Phys. Oceanogr., 40, 2180-2188, doi:10.1175/2010JPO4378.1.
12. Daubechies, I. (1992), Ten Lectures on Wavelets, Soc. for Ind. and Appl. Math., Philadelphia, Pa., doi:10.1137/1.9781611970104.
13. Donelan, M. A., and F. W. Dobson (2001), The influence of swell on the drag, in Wind Stress Over the Ocean, edited by I. S. F. Jones and Y. Toba, pp. 181-189, Cambridge Univ. Press, Cambridge, U. K., doi:10.1017/CBO9780511552076. 009.
14. Donelan, M. A., and Y. Yuan (1994), Wave dissipation by surface processes, in Dynamics and Modelling of Ocean Waves, edited by G. J. Komen et al., pp. 143-155, Cambridge Univ. Press, Cambridge, U. K.
15. Donelan, M. A., J. Hamilton, and W. H. Hui (1985), Directional spectra of wind generated waves, Philos. Trans. R. Soc. London A, 315, 509-562, doi:10.1098/rsta.1985.0054.
16. Duncan, J. H. (1981), An experimental investigation of breaking waves produced by a towed hydrofoil, Proc. R. Soc. London, Ser. A, 377, 331-348, doi:10.1098/rspa.1981.0127. (Pubitemid 11521354)
17. Dysthe, K. B. (1979), Note on a modification to the nonlinear Schrodinger equation for application to deep water waves, Proc. R. Soc. London, Ser. A, 369, 105-114, doi:10.1098/rspa.1979.0154.
18. Flandrin, P. (1999), Time-Frequency/Time-Scale Analysis, Academic, San Diego, Calif.
19. Fornberg, B., and G. B. Whitham (1978), A numerical and theoretical study of certain nonlinear wave phenomena, Philos. Trans. R. Soc. London A, 289, 373-404, doi:10.1098/rsta.1978.0064.
20. Friehe, C. A., J. A. Smith, K. F. Rieder, N. E. Huang, J.-P. Giovanangeli, and G. L. Geernaert (2001), Wind, stress and wave directions, in Wind Stress Over the Ocean, edited by I. S. F. Jones and Y. Toba, pp. 232-241, Cambridge Univ. Press, Cambridge, U. K., doi:10.1017/CBO9780511552076.013.
21. Gardner, C. S., J. M. Greene, M. D. Kruskal, and R. M. Miura (1967), Method for solving the Korteweg-deVries equation, Phys. Rev. Lett., 19, 1095-1097, doi:10.1103/PhysRevLett.19.1095.
22. Hasselmann, K. (1962), On the nonlinear energy transfer in gravity wave spectrum. Part 1, J. Fluid Mech., 12, 481-500, doi:10.1017/S0022112062000373.
23. Hasselmann, K. (1963a), On the nonlinear energy transfer in gravity wave spectrum. Part 2, J. Fluid Mech., 15, 273-281, doi:10.1017/S0022112063000239.
24. Hasselmann, K. (1963b), On the nonlinear energy transfer in gravity wave spectrum. Part 3, J. Fluid Mech., 15, 385-398, doi:10.1017/S002211206300032X.
25. Hasselmann, K., et al. (1973), Measurement of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP), Dtsch. Hydrogr. Z., Suppl. A, 8(12), 1-95.
26. Hasselmann, K., W. Sell, D. B. Ross, and P. Müller (1976), A parametric wave prediction model, J. Phys. Oceanogr., 6, 200-228, doi:10.1175/1520-0485(1976)006<0200:APWPM>2.0.CO;2.
27. Hatori, M., and Y. Toba (1983), Transition of mechanically generated waves to wind waves under the action of wind, J. Fluid Mech., 130, 397-409, doi:10.1017/S0022112083001147. (Pubitemid 13592652)
28. Huang, C. J., and F. Qiao (2010), Wave-turbulence interaction and its induced mixing in the upper ocean, J. Geophys. Res., 115, C04026, doi:10.1029/2009JC005853.
29. Huang, N. E. (1986), An estimate of the influence of breaking waves on the dynamics of the upper ocean, in Wave Dynamics and Radio Probing of the Ocean Surface, edited by O. M. Phillips, pp. 295-314, Plenum, New York.
30. Huang, N. E., and C. C. Tung (1976), The dispersion relation for a nonlinear random gravity wave field, J. Fluid Mech., 75, 337-345, doi:10.1017/S0022112076000256.
31. Huang, N. E., S. R. Long, C. C. Tung, Y. Yuan, and L. F. Bliven (1981), A unified two-parameter wave spectral model for a general sea state, J. Fluid Mech., 112, 203-224, doi:10.1017/S0022112081000360.
32. Huang, N. E., C. C. Tung, and S. R. Long (1990), Wind-wave spectrum, in The Sea, vol. 9, Ocean Engineering Science, edited by B. Le Mé hauté and D. M. Hanes, pp. 197-238, John Wiley, Hoboken, N. J.
33. Huang, N. E., S. R. Long, and Z. Shen (1996), Frequency downshift in nonlinear water wave evolution, Adv. Appl. Mech., 32, 59-117, doi:10.1016/S0065-2156(08)70076-0.
34. Huang, N. E., Z. Shen, S. R. Long, M. C. Wu, H. H. Shih, Q. Zheng, N.-C. Yen, C. C. Tung, and H. H. Liu (1998), The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis, Proc. R. Soc. London, Ser. A, 454, 903-995, doi:10.1098/rspa.1998.0193. (Pubitemid 128733183)
35. Huang, N. E., Z. Shen, and R. S. Long (1999), A new view of nonlinear water waves-The Hilbert Spectrum, Annu. Rev. Fluid Mech., 31, 417-457, doi:10.1146/annurev.fluid.31.1.417. (Pubitemid 36186209)
36. Huang, N. E., Z. Wu, S. R. Long, C. A. Kennth, X. Chen, and K. Blank (2009), On instantaneous frequency, Adv. Adapt. Data Anal., 1, 177-229, doi:10.1142/S1793536909000096.
37. Huang, N. E., M. T. Lo, Z. Wu, and X. Chen (2011a), Method for quantifying and modeling degree of nonlinearity combined nonlinearity and nonstationarity, Patent 13/241,565, U.S. Patent and Trademark Off., Washington, D. C.
38. Huang, N. E., X. Chen, M.-T. Lo, and Z. Wu (2011b), On Hilbert spectral representation: A true time-frequency representation for nonlinear and nonstationary data, Adv. Adapt. Data Anal., 3, 63-113, doi:10.1142/ S1793536911000659.
39. Infeld, E., and G. Rowlands (1990), Nonlinear Waves, Solitons and Chaos, Cambridge Univ. Press, Cambridge, U. K.
40. Janssen, P. A. E. M. (1989), Wave induced stress and the drag of air flow over sea waves, J. Phys. Oceanogr., 19, 745-754, doi:10.1175/1520-0485(1989) 019<0745:WISATD>2.0.CO;2.
41. Kleiss, J. M., and W. K. Melville (2011), The analysis of sea surface imagery for whitecap kinematics, J. Phys. Oceanogr., 28, 219-243.
42. Komen, G. J., K. Hasselmann, and S. Hasselmann (1984), On the existence of a fully developed windsea spectrum, J. Phys. Oceanogr., 14, 1271-1285.
43. Komen, G. J., L. Cavaleri, M. Donelan, K. Hasselmann, S. Hasselmann, and P. A. E. Jassen (1994), Dynamics and Modeling of Ocean Waves, 532 pp., Cambridge Univ. Press, Cambridge, U. K.
44. Komori, S., W. McGillis, and R. Kurose (Eds.) (2011), Gas Transfer at Water Surface 2010, Kyoto Univ. Press, Kyoto, Japan.
45. Korteweg, D. J., and G. de Vries (1895), On the change of form of long waves advancing in a rectangular canal and on a new type of long stationary waves, Philos. Mag., 39(5), 422-443.
46. Lake, B. M., H. C. Yuen, H. Rungaldier, and W. E. Ferguson (1977), Nonlinear deep-water waves: Theory and experiment. Part 2. Evolution of a continuous wave train, J. Fluid Mech., 83, 49-74, doi:10.1017/S0022112077001037. (Pubitemid 8554689)
47. Lavrenov, I. V. (2003), Wind-Waves in Oceans: Dynamics and Numerical Simulations, Springer, Berlin.
48. Levitus, S. (1982), Climatological atlas of the world ocean, NOAA Prof. Pap. 13, 173 pp., U.S. Gov. Print. Office, Washington, D. C.
49. Long, S. R., N. E. Huang, E. Mollo-Christensen, F. C. Jackson, and G. L. Geerneart (1994), Directional wind wave development, Geophys. Res. Lett., 21(23), 2503-2506, doi:10.1029/94GL01916.
50. Longuet-Higgins, M. S., D. E. Cartwright, and N. D. Smith (1963), Observations of the directional spectrum of sea waves using the motions of a floating buoy, in Ocean Wave Spectra, pp.111-136, Prentice-Hall, Englewood Cliffs, N. J.
51. Mei, C. C. (1983), The Applied Dynamics of Ocean Waves, John Wiley, New York.
52. Mellor, G., and T. Yamada (1982), Development of a turbulence closure model for geophysical fluid problems, Rev. Geophys., 20, 851-875, doi:10.1029/RG020i004p00851. (Pubitemid 13489369)
53. Melville, W. K. (1996), The role of surface-wave breaking in air-sea interaction, Annu. Rev. Fluid Mech., 28, 279-321, doi:10.1146/annurev. fl.28.010196.001431.
54. Miles, J. W. (1957), On the generation of surface waves by shear flows, J. Fluid Mech., 3, 185-204, doi:10.1017/S0022112057000567.
55. Miles, J. W. (1959a), On the generation of surface waves by shear flows, Part 2, J. Fluid Mech., 6, 568-582, doi:10.1017/S0022112059000830.
56. Miles, J. W. (1959b), On the generation of surface waves by shear flows. Part 3, J. Fluid Mech., 6, 583-598, doi:10.1017/S0022112059000842.
57. Miles, J. W. (1960), On the generation of surface waves by turbulent shear flows, J. Fluid Mech., 7, 469-478, doi:10.1017/S0022112060000220.
58. Miles, J. W. (1962), On the generation of surface waves by shear flows. Part 4, J. Fluid Mech., 13, 433-448, doi:10.1017/S0022112062000828.
59. Monahan, E. C., and I. Ó. Muircheartaigh (1980), Optimal power-law description of oceanic whitecap coverage dependence on wind speed, J. Phys. Oceanogr., 10, 2094-2099, doi:10.1175/1520-0485(1980)010< 2094:OPLDOO>2.0.CO;2.
60. Mooers, C., P. Craig, and N. E. Huang (2012), Coastal Dynamics: Wind, Wave and Current Coupling, Cambridge Univ. Press, Cambridge, U. K.
61. Newell, A. C., and B. Rumpf (2011), Wave turbulence, Annu. Rev. Fluid Mech., 43, 59-78, doi:10.1146/annurev-fluid-122109-160807.
62. Osborne, A. R. (2010), Nonlinear Ocean Waves and the Inverse Scattering Transform, Elsevier, Burlington, Mass.
63. Phillips, O. M. (1957), On the generation of waves by turbulent wind, J. Fluid Mech., 2, 417-445, doi:10.1017/S0022112057000233.
64. Phillips, O. M. (1958), The equilibrium range in the spectrum of wind generated waves, J. Fluid Mech., 4, 426-434, doi:10.1017/S0022112058000550.
65. Phillips, O. M. (1960), On the dynamics of unsteady gravity waves of finite amplitude. Part 1, J. Fluid Mech., 9, 193-217, doi:10.1017/ S0022112060001043.
66. Phillips, O. M. (1977), On the Dynamics of Upper Ocean, 2nd ed., Cambridge Univ. Press, Cambridge, U. K.
67. Phillips, O. M. (1985), Spectral and statistical properties of the equilibrium range in the wind-generated gravity waves, J. Fluid Mech., 156, 505-531, doi:10.1017/S0022112085002221. (Pubitemid 15580030)
68. Phillips, O. M., and M. Banner (1974), Wave breaking in presence of wind drift and swell, J. Fluid Mech., 66, 625-640, doi:10.1017/S0022112074000413.
69. Pierson, W. J., and L. Moskowitz (1964), A proposed spectral form for fully developed wind sea based on the similarity theory of S. A. Kitaigorodskii, J. Geophys. Res., 69, 5181-5190, doi:10.1029/JZ069i024p05181.
70. Polnikov, V. G. (2010), An extended verification technique for solving problems of numerical modeling of wind waves, Izv. Russ. Acad. Sci. Atmos. Oceanic Phys., Engl. Transl., 46(4), 511-523, doi:10.1134/S0001433810040109.
71. Qiao, F., Y. Yuan, Y. Yang, Q. Zheng, C. Xia, and J. Ma (2004), 2004: Wave-induced mixing in the upper ocean: Distribution and application to a global ocean circulation model, Geophys. Res. Lett., 31, L11303, doi:10.1029/ 2004GL019824. (Pubitemid 39103495)
72. Qiao, F., Y. Yang, C. Xia, and Y. Yuan (2008), The role of surface waves in the ocean mixed layer, Acta Oceanol. Sin., 27, 30-37.
73. Qiao, F., Y. Yuan, T. Ezer, C. Xia, Y. Yang, X. Lü, and Z. Song (2010), A three-dimensional surface wave-ocean circulation coupled model and its initial testing, Ocean Dyn., 60, 1339-1355, doi:10.1007/s10236-010-0326-y.
74. Ramamonjiarisoa, A., and E. Mollo-Christsen (1979), Modulation characteristics of sea surface waves, J. Geophys. Res., 84, 7769-7775, doi:10.1029/JC084iC12p07769.
75. Rilling, G., and P. Flandrin (2008), One or two frequencies? The empirical mode decomposition answers, IEEE Trans. Signal Process., 56(1), 85-95, doi:10.1109/TSP.2007.906771.
76. Russell, S. (1844), Report on waves, in Report of the 14th Meeting of the British Association for the Advancement of Science, pp. 311-390, Jon Murray, London.
77. Stoker, J. J. (1992), Water Waves, Wiley, New York.
78. Stokes, G. G. (1847), On the theory of oscillatory waves, Trans. Cambridge Philos. Soc, 8, 441-455.
79. Thorpe, S. A. (2005), The Turbulent Ocean, Cambridge Univ. Press, Cambridge, U. K.
80. Ting, C.-H., A. V. Babanin, D. Chalikov, and T.-W. Hsu (2012), Dependence of drag coefficient on the directional spreading of ocean waves, J. Geophys. Res., 117, C00J14, doi:10.1029/2012JC007920.
81. Toba, Y. (1973), Local balance in the air-sea boundary processes, III. On the spectrum of wind waves, J. Oceanogr., 29, 209-220.
82. Tulin, M. P., and T. Waseda (1999), Laboratory observations of wave group evolution, including breaking effects, J. Fluid Mech., 378, 197-232, doi:10.1017/S0022112098003255.
83. Walsh, E. J., D. W. Hancock, D. E. Hines, R. N. Swift, and J. F. Scott (1985), Directional wave spectra measured with the Surface Contour Radar, J. Phys. Oceanogr., 15, 566-592, doi:10.1175/1520-0485(1985)015<0566: DWSMWT>2.0.CO;2.
84. Walsh, E. J., D. W. Hancock, D. E. Hines, R. N. Swift, and J. F. Scott (1989), An observation of the directional wave spectrum evolution from shoreline to fully developed, J. Phys. Oceanogr., 19, 670-690, doi:10.1175/1520- 0485(1989)019<0670:AOOTDW>2.0.CO;2.
85. Whitham, G. B. (1974), Linear and Nonlinear Waves, John Wiley, New York.
86. Wunsch, C, and R. Ferrari (2004), Vertical mixing, energy and the general circulation of the oceans, Annu. Rev. Fluid Mech., 36, 281-314, doi:10.1146/annurev.fluid.36.050802.122121. (Pubitemid 38381913)
87. Yuan, Y., F. Hua, Z. Pan, and L. Sun (1991), LAGFD-WAM numerical wave model I. Basic physical model, Acta Oceanol. Sin., 10(4), 483-488.
88. Yuan, Y., F. Qiao, F. Hua, and Z. Wan (1999), The development of a coastal circulation numerical model: 1. Wave-induced mixing and wave-current interaction, J. Hydrodyn. Ser. A, 14, 1-8.
89. Yuen, H. C, and B. M. Lake (1975), Nonlinear deep water waves: Theory and experiment, Phys. Fluids, 18, 956-960, doi:10.1063/1.861268.
90. Zabusky, N. J., and M. D. Kruskal (1965), Interaction of 'solitons' in a col-lisionless plasma and the recurrence of initial states, Phys. Rev. Lett, 15, 240-243, doi:10.1103/PhysRevLett.15.240.
91. Zakharov, V. E. (1968), Stability of periodic waves of finite amplitude on the surface of a deep fluid, J. Appl. Mech. Tech. Phys., 2, 190-194.