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Refraction of gravity waves by weak current gradients

Published online by Cambridge University Press:  24 August 2001

KRISTIAN B. DYSTHE
KRISTIAN B. DYSTHE
Affiliation:
Department of Mathematics, University of Bergen, Johs. Brunsgt. 12, N-5008 Bergen, Norway
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Abstract

When deep water surface waves cross an area with variable current, refraction takes place. If the group velocity of the waves is much larger than the current velocity we show that the curvature of a ray, χ, is given by the simple formula χ = ζ/vg. Here ζ is the vertical component of the current vorticity and vg is the group velocity.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 442 , 10 September 2001 , pp. 157 - 159
Copyright
© 2001 Cambridge University Press

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