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The Quarterly Journal of Mechanics and Applied Mathematics 1976 29(4):511-525; doi:10.1093/qjmam/29.4.511
© 1976 by Oxford University Press
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THE REFLECTION OF INTERNAL GRAVITY WAVES FROM A SHEAR LAYER

R. GRIMSHAW

( Department of Mathematics, University of Melbourne Parkville, Victoria 3052, Australia )

The paper discusses the reflection of an internal gravity wave from a region containing a shear flow, and also a varying Brunts–Väisälä frequency. The problem is considered in the linear context, and in the short wavelength limit, using a recently developed theory of R. E. Meyer (1). The reflection coefficient is determined for the case when the shear layer contains a critical layer, and also for the case when there is no critical layer.


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