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WATER WAVE SCATTERING BY A VERTICAL POROUS BARRIER WITH TWO GAPS

Part of: Incompressible inviscid fluids Equations and systems of special type

Published online by Cambridge University Press:  30 January 2019

M. SIVANESAN Open the ORCID record for M. SIVANESAN [Opens in a new window]  and
S. R. MANAM
M. SIVANESAN*
Affiliation:
Indian Institute of Technology Madras, Chennai 600036, India email sivanesaniitm@gmail.com, manam@iitm.ac.in
S. R. MANAM
Affiliation:
Indian Institute of Technology Madras, Chennai 600036, India email sivanesaniitm@gmail.com, manam@iitm.ac.in
*
✉sivanesaniitm@gmail.com
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Abstract

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Explicit solutions are rarely available for water wave scattering problems. An analytical procedure is presented here to solve the boundary value problem associated with wave scattering by a complete vertical porous barrier with two gaps in it. The original problem is decomposed into four problems involving vertical solid barriers. The decomposed problems are solved analytically by using a weakly singular integral equation. Explicit expressions are obtained for the scattering amplitudes and numerical results are presented. The results obtained can be used as a benchmark for other wave scattering problems involving complex geometrical structures.

Keywords

potentialreflection coefficientporous barriermixed boundary value problem

MSC classification

Primary: 76B15: Water waves, gravity waves; dispersion and scattering, nonlinear interaction
Secondary: 35M12: Boundary value problems for equations of mixed type
Type
Research Article
Information
The ANZIAM Journal , Volume 61 , Issue 1 , January 2019 , pp. 47 - 63
Copyright
© 2019 Australian Mathematical Society 

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