Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-29T08:27:24.177Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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