The form of the asymptotic depth-limited wind-wave spectrum. Part II - The wavenumber spectrum

Coastal Engineering

Volumn 56, Issue 5-6, 2009, Pages 534-542

  Young, I R ^a   Babanin, A V ^a  

^a SWINBURNE UNIVERSITY OF TECHNOLOGY   (Australia)

Author keywords

Finite depth waves; Lake George; Non linear waves; Wavelet Directional Method; Wavenumber spectrum

Indexed keywords

ASYMPTOTIC ANALYSIS; FOURIER ANALYSIS; WATER ANALYSIS; WAVELENGTH DIVISION MULTIPLEXING;

FINITE DEPTH WATERS; FINITE DEPTH WAVES; FREQUENCY SPECTRUMS; NON-LINEAR PROCESS; NON-LINEAR WAVES; SPATIAL ARRAYS; SPECTRAL PEAKS; WAVE SPECTRUM; WAVE-NUMBERS; WAVELET DIRECTIONAL METHOD; WAVENUMBER SPECTRUM;

SPECTRUM ANALYSIS;

NONLINEAR WAVE; WAVE SPECTRUM; WAVELET ANALYSIS; WIND WAVE;

LAKE GEORGE [NEW YORK]; NEW YORK [UNITED STATES]; NORTH AMERICA; UNITED STATES;

EID: 62649137021     PISSN: 03783839     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.coastaleng.2008.11.005     Document Type: Article

References (53)

1. Alpers W.R., Ross D.B., and Rufenach C.L. On the detectability of ocean surface waves by real and synthetic aperture radar. J. Geophys. Res. 86 (1981) 6481-6498
2. Banner M.L., Jones I.S.F., and Trinder J.C. Wavenumber spectra of short gravity waves. J. Geophys. Res. 73 (1989) 513-530
3. Bottema M. Measured wind-wave climatology Lake IJssel (NL). Report RWS RIZA 2007.020 (2007). 978-90-369-1399-7 278 pp.
4. Bouws E., Günther H., Rosenthal W., and Vincent C.L. Similarity of the wind wave spectrum in finite depth water, 1. Spectral form. J. Geophys. Res. 90 (1985) 975-986
5. Bouws E., Günther H., Rosenthal W., and Vincent C.L. Similarity of the wind wave spectrum in finite depth water, 2. Statistical relationships between shape and growth stage parameters. Dtsch. Hydrogr. Z. 40 (1987) 1-24
6. Bretschneider C.L. Revisions in wave forecasting: deep and shallow water. Proc. 2nd Conf. on Coastal Eng. (1958), ASCE, Council on Wave Research
7. Donelan M.A., Drennan W.M., and Magnusson A.K. Nonstationary analysis of the directional properties of propagating waves. J. Phys. Oceanogr 26 (1996) 1901-1914
8. Efimov V.V., and Babanin A.V. Nonlinear effects in the wind wave spectrum. Izv. Atmos. Ocean. Phys. 26 2 (1990) 133-138
9. Elgar S., and Guza R.T. Observations of bispectra of shoaling surface gravity waves. J. Fluid Mech. 161 (1985) 425-448
10. Farge M. Wavelet transforms and their applications to turbulence. Annu. Rev. Fluid Mech. 24 (1992) 395-457
11. In: Foufoula-Georgiou E., and Kumar P. (Eds). Wavelets in Geophysics (1994), Academic Press, San Diego, CA 372 pp.
12. Grossman A., and Morlet J. Decomposition of Hardy functions into square integrable wavelets of constant slope. SIAM J. Math. Anal. 15 4 (1984) 723-736
13. Hasselmann K., Munk W., and MacDonald G. Bispectra of ocean waves. In: Rosenblatt M. (Ed). Time Series Analysis (1963), John Wiley, New York 125-139
14. Hasselmann K., Raney R.K., Plant W.J., Alpers W., Schuchman R.A., Lyzenga D.R., Rufenach C.L., and Tucker M.J. Theory of synthetic aperture radar ocean imaging - a MARSEN view. J. Geophys. Res. 90 (1985) 4659-4686
15. Herbers T.H., Elgar S., and Guza R.T. Infragravity-frequency (0.005-0.05 Hz) motions on the shelf. Part I: Forced waves. J. Phys. Oceanogr. 24 (1994) 917-927
16. Holthuijsen L.H. Observations of the directional distribution of ocean-wave energy in fetch-limited conditions. J. Phys. Oceanogr. 13 (1983) 191-207
17. Huang M.C. Wave parameters and functions in wavelet analysis. Ocean Eng. 31 1 (2004) 111-125
18. Kitaigorodskii S.A. On the theory of the equilibrium range in the spectrum of wind-generated gravity waves. J. Phys. Oceanogr. 13 (1983) 816-827
19. Kitaigorodskii S.A., Krasitskii V.P., and Zaslavskii M.M. On Phillips' theory of equilibrium range in the spectra of wind-generated gravity waves. J. Phys. Oceanogr. 5 (1975) 410-420
20. Krogstad H.E., Magnusson A.K., and Donelan M.A. Wavelet and local analysis of ocean waves. Int. J. Offshore Polar Eng. 16 2 (2006) 97-103
21. Liu P.C. On the slope of the equilibrium range in the frequency spectrum of wind waves. J. Geophys. Res. 94 (1989) 5017-5023
22. Liu P.C. Wavelet spectrum analysis and ocean wind waves. In: Foufoula-Georgiou E., and Kumar P. (Eds). Wavelets in Geophysics (1994), Academic Press, CA 151-166
23. Liu P.C., and Babanin A.V. Using wavelet spectrum analysis to resolve breaking events in the wind wave time series. Ann. Geophys. 22 (2004) 3335-3345
24. Liu P.C., and Mori N. Characterizing freak waves with wavelet transform analysis. In: Olagnon M., and Athanassoulis G.A. (Eds). Rogue Waves 2000 (2000), IFREMER, Plouzane 151-155
25. Longuet-Higgins M.S., and Stewart R.W. Radiation stress and mass transport in gravity waves with application to "surf beats". J. Fluid Mech. 17 (1962) 459-480
26. Mallat S. A wavelet tour of signal processing (1998), Academic Press, San Diego, CA 577 pp.
27. Massel S.R. Wavelet analysis for processing of ocean surface wave records. Ocean Eng. 28 (2001) 957-987
28. Miche M. Mouvements ondulatoires de la mer en profondeur constante ou decroissante. Ann. Ponts Chaussees 114 (1944) 25-78
29. - 4 scaling. ASCE J. Waterw. Port Coast. Ocean Div. 116 (1990) 57-78
30. Phillips O.M. Spectral and statistical properties of the equilibrium range in wind-generated gravity waves. J. Fluid Mech. 156 (1985) 505-531
31. Pierson W.J., and Moskowitz L. A proposed spectral form for fully developed wind seas based on the similarity theory of S.A. Kitaigorodskii. J. Geophys. Res. 69 (1964) 5181-5190
32. Resio D.T. Shallow-water waves. II: Data comparisons. J. Waterw. Port Coast. Ocean Eng. 114 1 (1988) 50-65
33. Resio D.T., Pihl J.H., Tracy B.A., and Vincent C.L. Nonlinear energy fluxes and the finite depth equilibrium range in wave spectra. J. Geophys. Res. 106 (2001) 6985-7000
34. Resio D.T., Long C.E., and Vincent C.L. Equilibrium-range constant in wind-generated wave spectra. J. Geophys. Res. 109 C01018 (2004) 10.1029/2003JC001788
35. Smith J.M., and Vincent C.L. Shoaling and decay of two wave trains on a beach. J. Waterw. Port Coast. Ocean Eng. 118 (1992) 517-533
36. Smith J.M., and Vincent C.L. Application of spectral equilibrium ranges in the surf zone. Proc. 28th Int. Conf. on Coast Eng. (2002), World Scientific 269-279
37. Thijsse J.Th. Dimensions of wind-generated waves. General Assembly of Association d'Ocèanographie Physique. Procès-Verbaux vol. 4 (1949) 80-81 Oslo
38. Thompson E.F. Energy spectra in shallow U.S. coastal waters. Coastal Engineering Research Center, Tech. Paper 80-2, Ft. Belvoir, Va (1980) 149 pp.
39. Toffoli A., Onorato M., Babanin A.V., Bitner-Gregersen E., Osborne A.R., and Monbaliu J. Second-order theory and setup in surface gravity waves: a comparison with experimental data. J. Phys. Oceangr. 37 (2007) 2726-2739
40. Torrence C., and Compo G.P. A practical guide to wavelet analysis. Bull. Am. Meteorol. Soc. 79 1 (1998) 61-78
41. U.S. Army Corps of Engineers. Waves and wind tides in shallow lakes and reservoirs. Summary Report, Project CW-167, Jacksonville District, Fla (1955)
42. Vincent C.L. Shallow water waves - a spectral approach. Int. Conf. on Coastal Eng. (1984), ASCE, Houston, Texas 370-382
43. Vincent C.L. Depth-controlled wave height. J. Waterw. Port Coast. Ocean Eng. 111 3 (1985) 459-475
44. Waseda T., Kinoshita T., and Tamura H. Evolution of a random directional wave and freak wave occurrence. J. Phys. Oceanogr. 38 (2008) 10.1175/2008JPO4031.1
45. Young I.R. Wind Generated Ocean Waves (1999), Elsevier Sciences Ltd. 0-08-043317-0 306 pp.
46. Young I.R., and Babanin A.V. The form of the asymptotic depth-limited wind-wave frequency spectrum. J. Geophys. Res. 111 C06031 (2006) 10.1029/2005JC003398
47. Young I.R., and Eldeberky Y. Observations of triad coupling of finite depth wind-waves. Coast. Eng. 33 (1998) 137-154
48. Young I.R., and Verhagen L.A. The growth of fetch limited waves in water of finite depth. Part I: Total energy and peak frequency. Coast. Eng. 28 (1996) 47-78
49. Young I.R., and Verhagen L.A. The growth of fetch limited waves in water of finite depth. Part II: Spectral evolution. Coast. Eng. 28 (1996) 79-100
50. Young I.R., Rosenthal W., and Ziemer F. A three-dimensional analysis of marine radar images for the determination of ocean wave directionality and surface currents. J. Geophys. Res. 90 C1 (1985) 1049-1060
51. Young I.R., Verhagen L.A., and Khatri S.K. The growth of fetch limited waves in water of finite depth. Part III: Directional spectra. Coast. Eng. 28 (1996) 101-122
52. Young I.R., Banner M.L., Donelan M.A., Babanin A.V., Melville W.K., Veron F., and McCormick C. An integrated system for the study of wind-wave source terms in finite-depth water. J. Atmos. Ocean. Technol. 22 7 (2005) 814-831
53. Zakharov V. Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid. Eur. J. Mech. B/Fluids 18 (1999) 327-344