Propagation of solitary waves through significantly curved shallow water channels

Journal of Fluid Mechanics

Volumn 362, Issue , 1998, Pages 157-176

  Shi, Aimin ^a   Teng, Michelle H ^b   Wu, Theodore Y ^c  

^a Environ Fluid Dynamics Research   (United States)

^b University of Hawaii at Manoa   (United States)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; COMPUTER SIMULATION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS;

BOUSSINESQ MODELS; SOLITARY WAVES;

WATER WAVES;

EID: 0032070734     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098008945     Document Type: Article

References (25)

1. BENJAMIN, T. B. 1972 The stability of solitary waves. Proc. R. Soc. Lond. A 328, 153-183.
2. CHANG, P., MFLVILLE, W. K. & MILES, J. W. 1979 On the evolution of a solitary wave in a gradually varying channel. J. Fluid Mech. 95, 401-414.
3. GORING, D. G. 1978 Tsunamis - The propagation of long waves onto a shelf. Rep. KH-R-38. Keck Laboratory, California Institute of Technology, Pasadena, California.
4. JOHNSON, R. S. 1973 On the development of a solitary wave moving over an uneven bottom. Proc. Camb. Phil. Soc. 73, 183-203.
5. KATOPODES, N. D. & WU, C.-T. 1987 Computation of finite-amplitude dispersive waves. ASCE J. Waterway. Port. Coastal & Ocean Engng 113, 327-346.
6. KIRBY, J. T., DALRYMPLE, R. A. & KAKU, H. 1994 Parabolic approximations for water waves in conformal coordinate systems. Coastal Engng 23, 185-213.
7. KIRBY, J. T. & VENGAYIL, P. 1988 Nonresonant and resonant reflection of long waves in varying channels. J. Geophys. Res. 39, 10782-10796.
8. MADSEN, O. S. & MEI, C. C. 1969 The transformation of a solitary wave over an uneven bottom. J. Fluid Mech. 39, 781-791.
9. MILES, J. W. 1979 On the Korteweg-de Vries equation for a gradually varying channel. J. Fluid Mech. 91, 181-190.
10. PEREGRINE, D. H. 1967 Long waves on a beach. J. Fluid Mech. 27, 815-827.
11. ROSTAFINSKI, W. 1972 On propagation of long waves in curved ducts. J. Acoust. Soc. Am. 52, 1411-1420.
12. ROSTAFINSKI, W. 1976 Acoustic systems containing curved duct sections. J. Acoust. Soc. Am. 60, 23-28.
13. SCHEMBER, H. R. 1982 A new model for three-dimensional nonlinear dispersive long waves. PhD thesis, California Institute of Technology, Pasadena, California.
14. SHI, A. & TENG, M. H. 1996 Propagation of solitary wave in channels of complex configurations. In Proc. 2nd Intl Conf. on Hydrodynamics, (ed. A. T. Chwang, J. H. Lee & D. Y. Leung), pp. 349-354. Balkema, Rotterdam.
15. SHUTO, N. 1974 Nonlinear long waves in a channel of variable section. Coastal Engng Japan 17, 1-12.
16. TENG, M. H. 1990 Forced emissions of nonlinear water waves in channels of arbitrary shape. PhD thesis, California Institute of Technology, Pasadena, California.
17. TENG, M. H. 1997 Solitary wave solution to Boussinesq equations. Technical Note, ASCE J. Waterway, Port, Coastal Ocean Engng 123, 138-141.
18. TENG, M. H. & WU, T. Y. 1992 Nonlinear water waves in channels of arbitrary shape. J. Fluid Mech. 242, 211-233.
19. TENG, M. H. & WU, T. Y. 1994 Evolution of long water waves in variable channels. J. Fluid Mech. 266, 303-317.
20. WANG, K. H., WU, T. Y. & YATES, G. T. 1988 Scattering and diffraction of solitary waves by a vertical cylinder. In Proc. 17th Symp. on Naval Hydrodynamics, pp. 37-46. The Hague, The Netherlands.
21. WANG, K. H., WU, T. Y. & YATES, G. T. 1992 Three-dimensional scattering of solitary waves by vertical cylinder. ASCE J. Waterway, Port, Coastal and Ocean Engng 118, 551-566.
22. WEBB, A. J. & POND, S. 1986 The Propagation of a Kelvin wave around a bend in a channel. J. Fluid Mech. 169, 257-274.
23. WU, T. Y. 1981 Long waves in ocean and coastal waters. ASCE J. Engng. Mech. 107, 501-522.
24. YATES, G. T. 1995 Various Boussinesq solitary wave solutions. In Proc. 5th Intl Offshore and Polar Engng. Conf., pp. 70-76. The Intl Soc. Offshore and Polar Engineers.
25. ZABUSKY, N. J. & KRUSKAL, M. D. 1965 Interaction of solitons in a collisionless plasma and the recurrence of initial states. Phys. Rev. Lett. 15, 240-243.