Evolution of surface gravity waves over a submarine canyon

Journal of Geophysical Research: Oceans

Volumn 112, Issue 1, 2007, Pages

  Magne, Rudy ^a   Belibassakis, K A ^b   Herbers, T H C ^c   Ardhuin, Fabrice ^a   O'Reilly, W C ^d   Rey, V ^e  

^a Section de Géodésie Géophysique   (France)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

^c NAVAL POSTGRADUATE SCHOOL   (United States)

^d INTEGRATIVE OCEANOGRAPHY DIVISION   (United States)

^e UNIVERSITÉ DE TOULON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BUOYS; GEOMETRICAL OPTICS; GRAVITY WAVES; MATHEMATICAL MODELS; OCEANOGRAPHY; SPECTRUM ANALYSIS; SURFACE WAVES;

GRAVITY WAVE; NUMERICAL MODEL; OCEAN WAVE; SUBMARINE CANYON; SURFACE WAVE; WAVE PROPAGATION;

EID: 34547970733     PISSN: None     EISSN: 21699291     Source Type: Journal    
DOI: 10.1029/2005JC003035     Document Type: Article

References (35)

1. Ardhuin, F., T. H. C. Herbers, and W. C. O'Reilly (2001), A hybrid Eulerian-Lagrangian model for spectral wave evolution with application to bottom friction on the continental shelf, J. Phys. Oceanogr., 31, 1498-1516.
2. Ardhuin F., T. H. C. Herbers, W. C. O'Reilly, and P. F. Jessen (2003), Swell transformation across the continental shelf, part II: Validation of a spectral energy balance equation, J. Phys. Oceanogr., 33, 1940-1953.
3. Athanassoulis, G. A., and K. A. Belibassakis (1999), A consistent coupled-mode theory for the propagation of small amplitude water waves over variable bathymetry regions, J. Fluid Mech., 389, 275-301.
4. Athanassoulis, G. A., K. A. Belibassakis, and Y. G. Georgiou (2003), Transformation of the point spectrum over variable bathymetry regions, in Proceedings of the 15th International Polar and Offshore Engineering Conference, Honolulu, Hawaii, vol. 3, edited by J. S. Chung et al., pp. 58-65, ISOPE Publ., Honolulu, Hawaii.
5. Belibassakis, K. A., G. A. Athanassoulis, and T. P. Gerostathis (2001), A coupled-mode model for the refraction-diffraction of linear waves over steep three-dimensional bathymetry, Appl. Ocean Res., 23, 319-336.
6. Berkhoff, J. C. W. (1972), Computation of combined refraction-diffraction, in Proceedings of the 13th International Conference on Coastal Engineering, pp. 796-814, Am. Soc. of Civ. Eng., New York.
7. Booij, N. (1983), A note on the accuracy of the mild-slope equation, Coastal Eng., 7, 191-203.
8. Booij, N., R. C. Ris, and L. H. Holthuijsen (1999), A third-generation wave model for coastal regions: 1. Model description and validation, J. Geophys. Res., 104, 7649-7666.
9. Chamberlain, P. G., and D. Porter (1995), The modified mild slope equation, J. Fluid Mech., 291, 393-407.
10. Chandrasekera, C. N., and K. F. Cheung (1997), Extended linear refraction-diffraction model, J. Waterw. Port Coastal Ocean Eng., 123, 280-286.
11. Chandrasekera, C. N., and K. F. Cheung (2001), Linear refraction-diffraction model for steep bathymetry, J. Waterw. Port Coastal Ocean Eng., 127, 161-170.
12. Chao, Y.-Y., and W. J. Pierson (1972), Experimental studies of the refraction of uniform wave trains and transient wave groups near a straight caustic, J. Geophys. Res., 77, 4545-4553.
13. Dalrymple, R. A., and J. T. Kirby (1988), Models for very wide-angle water waves and wave diffraction, J. Fluid Mech., 192, 33-50.
14. Dobson, R. S. (1967), Some applications of a digital computer to hydraulic engineering problems, Tech. Rep. 80, Dep. of Civ. Eng., Stanford Univ., Calif.
15. Gerosthathis, T., K. A. Belibassakis, and G. Athanassoulis (2005), Coupled-mode, phase-resolving model for the transformation of wave spectrum over steep 3D topography: A parallel-architecture implementation, paper presented at OMAE 2005 24th International Conference on Offshore Mechanics and Arctic Engineering, Am. Soc. of Mech. Eng., Halkidiki, Greece.
16. Kim, J. W., and K. J. Bai (2004), A new complementary mild slope equation, J. Fluid Mech., 511, 25-40.
17. Kirby, J. T. (1986), Higher-order approximations in the parabolic equation method for water waves, J. Geophys. Res., 91, 933-952.
18. Kirby, J. T., and R. A. Dalrymple (1983), Propagation of obliquely incident water waves over a trench, J. Fluid Mech., 133, 47-63.
19. Lee, C., and S. B. Yoon (2004), Effect of higher-order bottom variation terms on the refraction of water waves in the extended mild slope equation, Ocean Eng., 31, 865-882.
20. Longuet-Higgins, M. S. (1957), On the transformation of a continuous spectrum by refraction, Proc. Cambridge Philos. Soc., 53, 226-229.
21. Lygre, A., and H. E. Krogstad (1986), Maximum entropy estimation of the directional distribution in ocean wave spectra, J. Phys. Oceanogr., 16, 2052-2060.
22. Massel, S. R. (1993), Extended refraction-diffraction equation for surface waves, Coastal Eng., 19, 97-126.
23. Mei, C. C. (1989), Applied Dynamics of Ocean Surface Waves, 2nd ed., 740 pp., World Sci., Hackensack, N. J.
24. Mei, C. C., and J. L. Black (1969), Scattering of surface waves by rectangular obstacles in water of finite depth, J. Fluid Mech., 38, 499-515.
25. Miles, J. W. (1967), Surface wave scattering matrix for a shelf, J. Fluid Mech., 28, 755-767.
26. Munk, W. H., and M. A. Traylor (1947), Refraction of ocean waves: A process linking underwater topography to beach erosion, J. Geol., 55, 1-26.
27. O'Reilly, W. C., and R. T. Guza (1991), Comparison of spectral refraction and refraction-diffraction wave models, J. Waterw. Port Coastal Ocean Eng., 117, 199-215.
28. O'Reilly, W. C., and R. T. Guza (1993), A comparison of two spectral wave models in the Southern California Bight, Coastal Eng., 19, 263-282.
29. Peak, S. D. (2004), Wave refraction over complex nearshore bathymetry, M.S. thesis, Naval Postgrad. School, Monterey, Calif.
30. Porter, D., and D. J. Staziker (1995), Extensions of the mild-slope equation, J. Fluid Mech., 300, 367-382.
31. Radder, A. C. (1979), On the parabolic equation method for water wave propagation, J. Fluid Mech., 95, 159-176.
32. Rey, V. (1992), Propagation and local behaviour of normally incident gravity waves over varying topography, Eur. J. Mech. B Fluids, 11, 213-232.
33. Rey, V., M. Belzons, and E. Guazzelli (1992), Propagation of surface gravity waves over a rectangular submerged bar, J. Fluid Mech., 235, 453-479.
34. Takano, K. (1960), Effets d'un obstacle parallélépipédique sur la propagation de la houle, La houille blanche, 15, 247-267.
35. Thomson, J., S. Elgar, and T. H. C. Herbers (2005), Reflection and tunneling of ocean waves observed at a submarine canyon, Geophys. Res. Lett., 32, L10602, doi:10.1029/2005GL022834.