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Current effects on resonant reflection of surface water waves by sand bars

  • James T. Kirby (a1)

Abstract

The effect of currents flowing across a bar field on resonant reflection of surface waves by the bars is investigated. Using a multiple-scale expansion, evolution equations for the amplitudes of linear waves are derived and used to investigate the reflection of periodic wave trains with steady amplitude for both normal and oblique incidence. The presence of a current is found to shift resonant frequencies by possibly significant amounts and is also found to enhance reflection of waves by bar fields due to the additional effect of the perturbed current field.

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References

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Davies, A. G. & Heathershaw, A. D. 1984 Surface-wave propagation over sinusoidally varying topography. J. Fluid Mech. 144, 419443.
Hara, T. & Mei, C. C. 1987 Bragg scattering of surface waves by periodic bars: theory and experiment. J. Fluid Mech. 178, 221241.
Kennedy, J. F. 1963 The mechanics of dunes and antidunes in erodible-bed channels. J. Fluid Mech. 16, 521544.
Kirby, J. T. 1986 A general wave equation for waves over rippled beds. J. Fluid Mech. 162, 171186.
Mei, C. C. 1969 Steady free surface flow over a wavy bed. ASCE J. Engng Mech. Div. 95, 13931402.
Mei, C. C. 1985 Resonant reflection of surface water waves by periodic sand bars. J. Fluid Mech. 152, 315335.
Reynolds, A. J. 1965 Waves on the erodible bed of an open channel. J. Fluid Mech. 22, 113133.
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Current effects on resonant reflection of surface water waves by sand bars

  • James T. Kirby (a1)

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