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Scattering of water waves by a vertical wall with gaps

Published online by Cambridge University Press:  17 February 2009

Sudeshna Banerjea
Sudeshna Banerjea
Affiliation:
Department of Mathematics, Jadavpur University, Calcutta - 700 032, India.
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Abstract

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This paper is concerned with a reinvestigation of the problem of water wave scattering by a wall with multiple gaps by using the solution of a singular integral equation with a combination of logarithmic and power (Cauchy-type) kernels in disjoint multiple intervals. Use of Havelock's expansion of water wave potential reduces the problem to such an integral equation in the horizontal velocity across the gaps. The solution of the integral equation is obtained by utilizing the solutions of Cauchy-type integral equations in (0,∞) and also in multiple disjoint intervals. An explicit expression for the reflection coefficient is obtained for a wall with n gaps and supplemented by numerical results for up to three gaps.

Type
Research Article
Information
The ANZIAM Journal , Volume 37 , Issue 4 , April 1996 , pp. 512 - 529
Copyright
Copyright © Australian Mathematical Society 1996

References

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