Experimental study of wave-wave nonlinear interactions using the wavelet-based bicoherence

Coastal Engineering

Volumn 55, Issue 9, 2008, Pages 741-752

  Dong, Guohai ^a   Ma, Yuxiang ^a   Perlin, Marc ^b   Ma, Xiaozhou ^a   Yu, Bo ^a   Xu, Jianwu ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Nonlinear interactions; Phase coupling; Total bicoherence; Wave shoaling; Wavelet transform; Wavelet based bicoherence

Indexed keywords

FLOW INTERACTIONS; WAVES;

BICOHERENCE; EXPERIMENTAL STUDIES; NON-LINEAR WAVES; NONLINEAR INTERACTIONS; NONLINEAR PHASE; PHASE COUPLING; POW ERFUL TOOL; RANDOM WAVES; TOTAL BICOHERENCE; WAVE SHOALING; WAVELET TRANSFORM; WAVELET-BASED BICOHERENCE;

GRAVITATIONAL EFFECTS;

BREAKING WAVE; GRAVITY WAVE; NEARSHORE DYNAMICS; SHOALING WAVE; WAVE-WAVE INTERACTION; WAVELET ANALYSIS;

EID: 49649122877     PISSN: 03783839     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.coastaleng.2008.02.015     Document Type: Article

References (34)

1. Beji S., and Battjes J.A. Experimental investigation of wave propagation over a bar. Coastal Engineering 19 (1993) 151-162
2. Chung J., and Powers J. The statistics of wavelet-based bicoherence. Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Pittsburgh, Pennsylvania, USA (1998) 141-144
3. Daubechies I. Ten Lectures on Wavelets. Society for Industrial & Applied Mathematics, Philadelphia, PA (1992)
4. Elgar S., and Guza R.T. Observations of bispectra of shoaling surface gravity waves. Journal of Fluid Mechanics 161 (1985) 425-448
5. Elgar S., and Guza R.T. Statistics of bicoherence. IEEE Transactions on Acoustics, Speech, and Signal Processing 36 (1988) 1667-1668
6. Elgar S., Freilich M., and Guza R.T. Model-data comparisons of moments of nonbreaking shoaling surface gravity waves. Journal of Geophysical Research 95 C9 (1990) 16055-16063
7. Elgar S., Guza R.T., and Freilich M. Observations of nonlinear interactions in directionally spread shoaling surface gravity waves. Journal of Geophysical Research 98 C11 (1993) 20299-20305
8. Elsayed M.A.K. A novel technique in analyzing non-linear wave-wave interaction. Ocean Engineering 33 (2006) 168-180
9. Elsayed M.A.K. Wavelet bicoherence analysis of wind-wave interaction. Ocean Engineering 33 (2006) 458-470
10. Farge M. Wavelet transforms and their applications to turbulence. Annual Review of Fluid Mechanics 24 (1992) 395-457
11. Gobbi M.F., and Kirby J.T. Wave evolution over submerged sills: tests of a high-order Boussinesq model. Coastal Engineering 37 (1999) 57-96
12. Goda Y. Random Seas and Design of Maritime Structures (1985), Columbia University Press, New York
13. Gurley K., Kijewski T., and Kareem A. First- and higher-order correlation detection using wavelet transforms. Journal of Engineering Mechanics 129 (2003) 188-201
14. Hasselmann K. On the non-linear energy transfer in a gravity-wave spectrum, Part I. General theory. Journal of Fluid Mechanics 12 (1962) 481-500
15. Hasselmann K., Munk W., and MacDonald G. Bispectra of ocean waves. In: Rosenblatt M. (Ed). Time Series Analysis (1963), Wiley, New York 125-139
16. Huang M.C. Wave parameters and functions in wavelet analysis. Ocean Engineering 31 (2004) 111-125
17. Kwon S.H., Lee H.S., and Kim C.H. Wavelet transform based coherence analysis of freak wave and its impact. Ocean Engineering 32 (2005) 1572-1589
18. Larsen Y., Hanssen A., and Pecseli H.L. Analysis of non-stationary mode coupling by means of wavelet-bicoherence. IEEE International Conference on Acoustics, Speech, and Signal Processing. Salt Lake City, Utah, USA (2001) 3581-3584
19. Liu P.C. Is the wind wave frequency spectrum outdated?. Ocean Engineering 27 (2000) 577-588
20. Liu P.C. Wave grouping characteristics in nearshore Great Lakes. Ocean Engineering 27 (2000) 1221-1230
21. Liu P.C. A discrete wavelet analysis of freak waves in the ocean. Journal of Applied Mathematics 5 (2004) 379-394
22. Longuet-Higgins M.S., and Stewart R.W. Radiation stress and mass transport in gravity waves, with application to surf-beats. Journal of Fluid Mechanics 13 (1962) 481-504
23. Madsen P.A., and Sørensen O.R. Bound waves and triad interactions in shallow water. Ocean Engineering 20 (1993) 259-388
24. Madsen P.A., and Schäffer H.A. Higher-order Boussinesq-type equations for surface gravity waves: derivation and analysis. Philosophical Transactions of the Royal Society of London A356 (1998) 3123-3184
25. Massel S.R. Wavelet analysis for processing of ocean surface wave records. Ocean Engineering 28 (2001) 957-987
26. Mori N., Liu P.C., and Yasuda T. Analysis of freak wave measurements in the Sea of Japan. Ocean Engineering 29 (2002) 1399-1414
27. Phillips O.M. The Dynamics of the Upper Ocean (1977), Cambridge University Press, New York
28. Rey V., Belrous M., and Guaselli E. Propagation of surface gravity waves over a rectangular submerged bar. Journal of Fluid Mechanics 9 (1992) 193-217
29. Rozynski G., and Reeve D. Multi-resolution analysis of nearshore hydrodynamics using discrete wavelet transforms. Coastal Engineering 52 (2005) 771-792
30. Schäffer H.A. Second-order wavemaker theory for irregular waves. Ocean Engineering 23 (1996) 47-88
31. Torrence C., and Compo G.P. A practical guide to wavelet analysis. Bulletin of American Meteorology Society 79 1 (1998) 61-78
32. Van Milligen B.P., Sánchez E., Estrada T., Hidalgo C., Brañas B., Carreras B., and García L. Wavelet bicoherence: a new turbulence analysis tool. Physics of Plasmas 2 8 (1995) 3017-3032
33. Yi, E.J., 2000. Applications of Wavelets to Nonlinear Wave Analysis and Digital Communication. Ph.D. thesis. The University of Texas at Austin, USA.
34. Young I.R., and Eldeberky Y. Observations of triad coupling of finite depth wind waves. Coastal Engineering 33 (1998) 137-154