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Bragg resonances in a two-layer fluid

Published online by Cambridge University Press:  17 February 2009

W. D. McKee
W. D. McKee
Affiliation:
School of Mathematics, University of New South Wales, Sydney, NSW, 2052, Australia.
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Abstract

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Equations are derived to approximately describe the propagation of small amplitude surface and interfacial waves across small irregularities in depth in a two-layer fluid. When the irregularities are sinusoidal, Bragg interaction effects between an incident surface wave and the bottom corrugations can lead to a large-amplitude reflected interfacial wave or a large-amplitude transmitted interfacial wave if the incident surface wave is relatively long and the lower layer shallow in comparison with the upper layer.

Type
Research Article
Information
The ANZIAM Journal , Volume 37 , Issue 3 , January 1996 , pp. 334 - 345
Copyright
Copyright © Australian Mathematical Society 1996

References

[1] Kirby, J. T., “A general wave equation for waves over rippled beds”, J. Fluid Mech. 162 (1986) 171–186.CrossRefGoogle Scholar
[2] Lamb, H., Hydrodynamics (Cambridge University Press, 1932).Google Scholar
[3] Mei, C. C., “Resonant reflection of surface water waves by periodic sandbars”, J. Fluid Mech. 152 (1985) 315–335.CrossRefGoogle Scholar
[4] Mei, C. C., Hara, T. and Naciri, M., “Note on Bragg scattering of water waves by parallel bars on the seabed”, J. Fluid Mech. 186 (1988) 147–162.CrossRefGoogle Scholar
[5] O'Hare, T. J. and Davies, A. G., “A comparison of two models for surface-wave propagation over rapidly varying topography”, Applied Ocean Research 15 (1993) 1–11.CrossRefGoogle Scholar