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    Reznik, G.M. and Zeitlin, V. 2009. Resonant excitation of coastal Kelvin waves by inertia–gravity waves. Physics Letters A, Vol. 373, Issue. 11, p. 1019.


    Quevedo, Elena Baquerizo, Asunción Losada, Miguel A. and Ortega-Sánchez, M. 2008. Large-scale coastal features generated by atmospheric pulses and associated edge waves. Marine Geology, Vol. 247, Issue. 3-4, p. 226.


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    Dubinina, V. A. Kurkin, A. A. Pelinovsky, E. N. and Poloukhina, O. E. 2006. Resonance three-wave interactions of stokes edge waves. Izvestiya, Atmospheric and Oceanic Physics, Vol. 42, Issue. 2, p. 254.


    Kurkin, A. A. Pelinovsky, E. N. and Poloukhina, O. E. 2006. Amplitude variations of edge waves on a shelf slowly varying in the alongshore direction. Izvestiya, Atmospheric and Oceanic Physics, Vol. 42, Issue. 3, p. 353.


    Reznik, G. M. and Zeitlin, V. 2006. Resonant Excitation of Rossby Waves in the Equatorial Waveguide and their Nonlinear Evolution. Physical Review Letters, Vol. 96, Issue. 3,


    Ehrenmark, Ulf 2005. Computing the Continuous-spectrum Linearised Bounded Standing Wave on a Plane Bed of Arbitrary Slope. Journal of Engineering Mathematics, Vol. 53, Issue. 2, p. 113.


    Galletta, Veronica and Vittori, Giovanna 2004. Nonlinear effects on edge wave development. European Journal of Mechanics - B/Fluids, Vol. 23, Issue. 6, p. 861.


    Hill, D. F. 2003. Transient and steady-state amplitudes of forced waves in rectangular basins. Physics of Fluids, Vol. 15, Issue. 6, p. 1576.


    Hill, D. F. 2002. The Faraday resonance of interfacial waves in weakly viscous fluids. Physics of Fluids, Vol. 14, Issue. 1, p. 158.


    Kurkin, Andrey and Pelinovsky, Efim 2002. Focusing of edge waves above a sloping beach. European Journal of Mechanics - B/Fluids, Vol. 21, Issue. 5, p. 561.


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    Blondeaux, P. and Vittori, G. 1995. The nonlinear excitation of synchronous edge waves by a monochromatic wave normally approaching a plane beach. Journal of Fluid Mechanics, Vol. 301, Issue. -1, p. 251.


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On the excitation of edge waves on beaches

  • A. A. Minzoni (a1) and G. B. Whitham (a1)
  • DOI: http://dx.doi.org/10.1017/S0022112077000159
  • Published online: 01 April 2006
Abstract

The excitation of standing edge waves of frequency ½ω by a normally incident wave train of frequency ω has been discussed previously (Guza & Davis 1974; Guza & Inman 1975; Guza & Bowen 1976) on the basis of shallow-water theory. Here the problem is formulated in the full water-wave theory without making the shallow-water approximation and solved for beach angles β = π/2N, where N is an integer. The work confirms the shallow-water results in the limit N [Gt ] 1, shows the effect of larger beach angles and allows a more complete discussion of some aspects of the problem.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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