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Reflection of water waves by a nearly vertical porous wall

Published online by Cambridge University Press:  17 February 2009

A. Chakrabarti
Affiliation:
Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India.
T. Sahoo
Affiliation:
Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India.
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Abstract

The problem of reflection of water waves by a nearly vertical porous wall has been investigated. A perturbational analysis has been applied for the first order correction to be employed to the corresponding vertical wall problem. The Green's function technique has been used to obtain the solution of the boundary value problem at hand, after utilising a mixed Fourier transform together with an idea involving the regularity of the transformed function along the real axis. The cases of fluid of finite as well as infinite depth have been taken into consideration. Particular shapes of the wall have been considered and numerical results are also discussed.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1996

References

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