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Solution of the problem of scattering of water waves by a nearly vertical plate

Published online by Cambridge University Press:  17 February 2009

L. Vijaya Bharathi ,
A. Chakrabarti ,
B. N. Mandal  and
S. Banerjee
L. Vijaya Bharathi
Affiliation:
Department of Mathematics, Indian Institute of Science, Bangalore-12, India.
A. Chakrabarti
Affiliation:
Department of Mathematics, Indian Institute of Science, Bangalore-12, India.
B. N. Mandal
Affiliation:
Physical and Earth Sciences Division, Indian Statistical Institute, Calcutta-35, India.
S. Banerjee
Affiliation:
Calcutta Mathematical Society, Calcutta-9, India.
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Abstract

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An approximate solution is determined for the problem of scattering of water waves by a nearly vertical plate, by reducing it to two mixed boundary-value problems (BVP) for Laplace's equation, using perturbation techniques. While the solution of one of these BVP is well-known, the other BVPs is reduced to the problem of solving two uncoupled problems, and the complete solution of the problem under consideration up to first-order accuracy is derived with a special assumption on the shape of the plate and a related approximation. Known results involving the reflection and transmission coefficients are reproduced.

Type
Research Article
Information
The ANZIAM Journal , Volume 35 , Issue 3 , January 1994 , pp. 382 - 395
Copyright
Copyright © Australian Mathematical Society 1994

References

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