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Reflexion of water waves by a permeable barrier

Published online by Cambridge University Press:  19 April 2006

C. Macaskill
Affiliation:
Department of Applied Mathematics, University of Adelaide Present address: School of Mechanical Engineering, Cranfield Institute of Technology, Cranfield, Bedford, England.

Abstract

The linearized problem of water-wave reflexion by a thin barrier of arbitrary permeability is considered with the restriction that the flow be two-dimensional. The formulation includes the special case of transmission through one or more gaps in an otherwise impermeable barrier. The general problem is reduced to a set of integral equations using standard techniques. These equations are then solved using a special decomposition of the finite depth source potential which allows accurate solutions to be obtained economically. A representative range of solutions is obtained numerically for both finite and infinite depth problems.

Type
Research Article
Copyright
© 1979 Cambridge University Press

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