A nonlinear model of internal tide transformation on the Australian North West Shelf

Journal of Physical Oceanography

Volumn 27, Issue 6, 1997, Pages 871-896

  Holloway, Peter E ^a   Pelinovsky, Efim ^b   Talipova, Tatyana ^b   Barnes, Belinda ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b INSTITUTE OF APPLIED PHYSICS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

INTERNAL TIDES; SHELF WAVES; TIDAL MODELS;

INDIAN OCEAN, NORTHWEST AUSTRALIAN SHELF;

EID: 0031450449     PISSN: 00223670     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0485(1997)027<0871:ANMOIT>2.0.CO;2     Document Type: Article

References (43)

1. Benney, D. J., 1966: Long nonlinear waves in fluid flows. J. Math. Phys., 45, 52-63.
2. Berezin, Yu. A., 1987: Modelling Nonlinear Wave Processes. VNU Science Press, 182 pp.
3. Boczar-Karakiewicz, B., J. L. Bona, and B. Pelchat, 1991: Interaction of internal waves with the seabed on continental shelves. Contin. Shelf Res., 11, 1181-1197.
4. Djordjevic, V. D., and L. G. Redekopp, 1978: The fission and disintegration of internal solitary waves moving over two-dimensional topography. J. Phys. Oceanogr., 8, 1016-1024.
5. Gallagher, B. S., and W. H. Munk, 1971: Tides in shallow water: Spectroscopy. Tellus, 23, 4-5.
6. Gan, J., and R. G. Ingram, 1992: Internal hydraulics, solitons and associated mixing in a stratified sound. J. Geophys. Res., 97C, 9669-9688.
7. Gear, J. A., and R. Grimshaw, 1983: A second order theory for solitary waves in shallow fluids. Phys. Fluids, 26, 14-29.
8. Goryachkin, Yu. N., V. A. Ivanov, and E. N. Pelinovsky, 1992: Transformation of internal tidal waves over the Guinean Shelf. Sov. J. Phys. Oceanogr., 3(4), 309-315.
9. Grimshaw, R., 1981: Evolution equations for nonlinear internal waves in stratified shear flows. Stud. Appl. Math., 65, 159-188.
10. _, 1983: Solitary waves in density stratified fluids. Nonlinear Deformation Waves, IUTAM Symp., Tallin, Springer, 432-447.
11. Halpern, D., 1971: Observations of short-period internal waves in Massachusetts Bay. J. Mar. Res., 29, 116-132.
12. Helfrich, K. R., W. K. Melville, and J. W. Miles, 1984: On interfacial solitary waves over slowly varying topography. J. Fluid Mech., 149, 305-317.
13. Holloway, P. E., 1984: On the semidiurnal internal tide at a shelf break location on the Australian North West Shelf. J. Phys. Oceanogr., 14, 1778-1790.
14. _, 1987: Internal hydraulic jumps and solitons at a shelf break region on the Australian North West Shelf. J. Geophys. Res., 92, 5405-5416.
15. _, 1994: Observations of internal tide propagation on the Australian North West Shelf. J. Phys. Oceanogr., 24, 1706-1716.
16. Huthnance, J. M., 1989: Internal tides and waves near the continental shelf edge. Geophys. Fluid Dyn., 48, 81-106.
17. Ivanov, V., E. Pelinovsky, Yu. Stepanyants, and T. Talipova, 1992: Statistical estimation of nonlinear internal long wave parameters from field measurements. Izv. Atmos. Oceanic Phys., 28, 794-798.
18. Jeans, D. R. G., 1995: Solitary internal waves in the ocean: A literature review completed as part of the internal waves contribution to Morena. Rep. U95-1, 64 pp. [Available from Unit for Coastal and Estuarine Studies, University College of North Wales, Marine Science Laboratories, Gwynedd, U.K.]
19. Klevanny, K. A., and E. N. Pelinovsky, 1978: Effect of nonlinear dissipation on the propagation of tsunamis. Izv. Atmos. Oceanic Phys., 14, 756-759.
20. Knickerbocker, C. J., and A. C. Newell, 1980: Internal solitary waves near a turning point. Phys. Lett., 75A, 326-330.
21. Lamb, K. G., 1994: Numerical experiments of internal wave generation by strong tidal flow across a finite amplitude bank edge. J. Geophys. Res., 99, 843-864.
22. Lee, C., and R. C. Beardsley, 1974: The generation of long nonlinear internal waves in a weakly stratified shear flow. J. Geophys. Res., 79, 453-462.
23. Levitus, S., 1982: Climatological Atlas of the World Ocean. NOAA Prof. Paper No. 13, U.S. Govt. Printing Office, 173 pp.
24. Liu, A. K., 1988: Analysis of nonlinear internal waves in the New York Bight. J. Geophys. Res., 93(12), 317-329.
25. _, J. R. Holbrook, and J. R. Apel, 1985: Nonlinear internal wave evolution in the Sulu Sea. J. Phys. Oceanogr., 15, 1613-1624.
26. Malomed, B., and V. Shrira, 1991: Soliton caustics. Physica D, 53, 1-12.
27. Maslowe, S. A., and L. G. Redekopp, 1980: Long nonlinear waves in stratified shear flows. J. Fluid Mech., 101, 321-348.
28. Maxworthy, T., 1979: A note on the internal solitary waves produced by tidal flow over a three-dimensional ridge. J. Geophys. Res., 84, 338-346.
29. Miles, J. W., 1983: Solitary wave evolution over a gradual slope with turbulent friction. J. Phys. Oceanogr., 13, 551-553.
30. Morozov, E. G., 1995: Semidiurnal internal wave global field. Deep-Sea Res., 42, 135-148.
31. New, A. L., and R. D. Pingree, 1990: Large-amplitude internal soliton packets in the central Bay of Biscay. Deep-Sea Res., 37A(3), 513-524.
32. _, and _, 1992: Local generation of internal soliton packets in the central Bay of Biscay. Deep-Sea Res., 39A(3), 1521-1534.
33. Ostrovsky, L. A., and Yu. A. Stepanyants, 1989: Do internal solitons exist in the ocean? Rev. Geophys., 27, 293-310.
34. Pelinovsky, E., and S. Shavratsky, 1976: Propagation of nonlinear internal waves in the inhomogeneous ocean. Izv. Atmos. Oceanic Phys., 12, 41-44.
35. _, and _, 1977: Disintegration of cnoidal internal waves in a horizontally inhomogeneous ocean. Izv. Atmos. Oceanic Phys., 13, 455-456.
36. _, _, and M. A. Raevsky, 1977: The Korteweg-de Vries equation for nonstationary internal waves in an inhomogeneous ocean. Izv. Atmos. Oceanic Phys., 13, 373-376.
37. _, Yu. A. Stepanyants, and T. G. Talipova, 1994: Modelling of the propagation of nonlinear internal waves in horizontally inhomogeneous ocean. Izv. Atmos. Oceanic Phys., 30, 79-85.
38. Sandstrom, H., and J. A. Elliot, 1984: Internal tide and solitons on the Scotian Shelf: A nutrient pump at work. J. Geophys. Res., 89(C4), 6415-6426.
39. _, and N. S. Oakey, 1995: Dissipation in internal tides and solitary waves. J. Phys. Oceanogr., 25, 604-614.
40. Smyth, N., 1988: Dissipative effects on the resonant flow of a stratified fluid over topography. J. Fluid Mech., 192, 287-312.
41. _, and P. Holloway, 1988: Hydraulic jump and undular bore formation on a shelf break. J. Phys. Oceanogr., 18, 947-962.
42. Voltsinger, N., K. Klevanny, and E. Pelinovsky, 1989: Long-Wave Dynamics of the Coastal Zone (in Russian). Gidrometeoisdat, Leningrad.
43. Zhou, X., and R. Grimshaw, 1989: The effect of variable currents on internal solitary waves. Dyn. Atmos. Oceans, 14, 17-39.