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A ray method for near-shore plumes in a shallow-water flow

Published online by Cambridge University Press:  26 April 2006

Ronald Smith
Ronald Smith
Affiliation:
Department of Mathematical Sciences, University of Technology, Loughborough, LE11 3TU, UK
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Abstract

Far from a shoreline, the spreading of a contaminant plume in a shallow-water flow can be predicted easily and accurately by a ray-tracing method. Unfortunately, the concentration predictions become singular at a beach, where the ray paths have a caustic. In this paper a uniform approximation is derived which remains valid at a beach. It is shown how the singular ray solutions corresponding to rays incident to and transmitted from the beach can be combined to construct the uniform approximation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 224 , March 1991 , pp. 227 - 239
Copyright
© 1991 Cambridge University Press

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