Some contributions to the theory of edge waves

Journal of Fluid Mechanics

Volumn 524, Issue , 2005, Pages 81-97

  Johnson, R S ^a  

^a NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; PROBLEM SOLVING; SAND; TRAVELING WAVE TUBES; WATER WAVES;

DEPTH PROFILES; EDGE WAVES; GERSTNER SOLUTION; GOVERNING EQUATIONS;

SURFACE WAVES;

WAVE;

EID: 14844304284     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112004002538     Document Type: Article

References (20)

1. Constantin, A. 2001 Edge waves along a sloping beach. J. Phys. A Maths Gen. 34, 9723-9731.
2. Evans, D. V. 1988 Mechanisms for the generation of edge waves over a sloping beach. J. Fluid Mech. 186, 379-391.
3. Evans, D. V. 1989 Edge waves over a sloping beach. Q. J. Mech. Appl. Maths 42, 131-142.
4. Guza, R. T. & Inman, D. L. 1975 Edge waves and beach cusps. J. Geophys. Res. 80, 2997-3012.
5. Howd, P. A., Bowen, A. J. & Holman, R. A. 1992 Edge waves in the presence of strong longshore currents. J. Geophys. Res. 97, 11357-11371.
6. Johnson, R. S. 1997 A Modern Introduction to the Mathematical Theory of Water Waves. Cambridge University Press.
7. Kenyon, K. E. 1972 Edge waves with current shear. J. Geophys. Res. 77, 6599-6603.
8. Kirby, J. T., Dalrymple, R. A. & Liu, P. L.-F. 1981 Modification of edge waves by barred beach topography. Coastal Engng. 5, 35-49.
9. Komar, P. 1998 Beach Processes and Sedimentation. Prentice-Hall.
10. Lamb, H. 1932 Hydrodynamics (6th edn). Cambridge University Press.
11. Miles, J. W. 1989 Edge waves on a gently sloping beach. J. Fluid Mech. 199, 125-131.
12. Minzoni, A. A. 1976 Nonlinear edge waves and shallow-water theory. J. Fluid Mech. 74, 369-374.
13. Minzoni, A. A. & Whitham, G. B. 1977 On the excitation of edge waves on beaches. J. Fluid Mech. 79, 273-287.
14. Mollo-Christensen, E. 1982 Allowable discontinuities in a Gerstner wave. Phys. Fluids 25, 586-587.
15. Stoker, J. J. 1957 Water Waves. Wiley-Interscience.
16. Stoker, G. G. 1846 Report on recent researches in hydrodynamics. Rep. 16th Brit. Assoc. Adv. Sci. pp. 1-20. (See also Papers, vol. 1, 157-187. Cambridge University Press, 1880.)
17. Ursell, F. 1952 Edge waves on a sloping beach. Proc. R. Soc. Lond. A 214, 79-97.
18. Whitham, G. B. 1976 Nonlinear effects in edge waves. J. Fluid Mech. 74, 353-368.
19. Yeh, H. H. 1985 Nonlinear progressive edge waves: their stability and evolution. J. Fluid Mech. 152, 479-499.
20. Yih, C.-S. 1966 Note on edge waves in a stratified fluid. J. Fluid Mech. 24, 765-767.