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EFFECT OF NONUNIFORM POROSITY IN CURVED BREAKWATER ON WATER WAVES

Published online by Cambridge University Press:  21 October 2024

DIBAKAR MONDAL Open the ORCID record for DIBAKAR MONDAL [Opens in a new window] ,
ANUSHREE SAMANTA Open the ORCID record for ANUSHREE SAMANTA [Opens in a new window] ,
GOUR DAS Open the ORCID record for GOUR DAS [Opens in a new window]  and
SUDESHNA BANERJEA Open the ORCID record for SUDESHNA BANERJEA [Opens in a new window]
DIBAKAR MONDAL
Affiliation:
Department of Mathematics, Government General Degree College at Kalna-I, Muragacha, Medgachi, Purba Burdwan 713405, India; e-mail: [email protected]
ANUSHREE SAMANTA
Affiliation:
Techno India University, EM block, Sector-V, Kolkata 700091, India; e-mail: [email protected]
GOUR DAS
Affiliation:
Department of Mathematics, Jadavpur University, Kolkata 700032, India; e-mail: [email protected]
SUDESHNA BANERJEA*
Affiliation:
Department of Mathematics, Jadavpur University, Kolkata 700032, India; e-mail: [email protected]
*
e-mail: [email protected]
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Abstract

Assuming linear theory, the phenomenon of scattering of waves by a circular arc shaped barrier with nonuniform porosity is studied. The water region is considered to be of infinite or finite depth. Based on a judicious application of Green’s integral theorem, the corresponding boundary value problem is reduced to a hypersingular integral equation of second kind. The boundary element method and the collocation method are adopted to solve the hypersingular integral equation, and we ensure a good matching of the solutions obtained by the two methods. The reflection coefficient and energy dissipation are evaluated by using the solution of the integral equation which is then studied graphically. Different choices of distributions of pores on the barrier are considered, and we observe that the nonuniform porosity of the barrier has significant effect on the reflected wave and the energy dissipation.

Keywords

curved barriervariable porosityhypersingular integral equationcollocation methodboundary element methodreflection coefficienttransmission coefficientenergy dissipation
Type
Research Article
Information
The ANZIAM Journal , Volume 66 , Issue 3 , July 2024 , pp. 201 - 221
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.

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