Hostname: page-component-84b7d79bbc-rnpqb Total loading time: 0 Render date: 2024-07-26T14:36:06.987Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  21 April 2006

James T. Kirby
Affiliation:
Coastal and Oceanographic Engineering Department, University of Florida, Gainesville, FL 32611, USA

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.

Type
Research Article
Copyright
© 1988 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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