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The wide-spacing approximation applied to multiple scattering and sloshing problems

Published online by Cambridge University Press:  26 April 2006

D. V. Evans
D. V. Evans
Affiliation:
Department of Mathematics, University of Bristol, Bristol BS8 1TW, UK
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Abstract

Linear water-wave theor is used in conjuctin with a wide-spacing approximation to develop closed-form expressions for the reflection and transmission coeffcients appropriate to a plane wave incident upon any number of identical equally spaced obstacles in two dimensins, and also to derive a real expressin from which the sloshing requencies, which occur when the bodies are bounded by rigid walls, can be determined. In each case the solutin is in terms of known properties of radiation problems associated with any one of the bodies in isolation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 210 , January 1990 , pp. 647 - 658
Copyright
© 1990 Cambridge University Press

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