https://doi.org/10.1140/epjs/s11734-024-01333-w
Regular Article
Scattering of water waves by thick porous breakwater placed over sloped rigid seabed in the presence of ocean current
Department of Mathematics, Birla Institute of Technology and Science-Pilani, Hyderabad Campus, 500078, Hyderabad, Telangana, India
b santanukoley1989@gmail.com, santanu@hyderabad.bits-pilani.ac.in
Received:
16
April
2024
Accepted:
7
September
2024
Published online:
24
September
2024
In this study, an investigation is carried out to analyze the interaction between water waves and rectangular porous breakwater placed over sloped and impermeable seabed under the influence of ocean currents. By considering two different cases (a) wave scattering (b) wave trapping, the behaviour of different wave transformation characteristics is analyzed in present study. The impact of important physical and structural parameters such as the friction coefficient, sloping angle of the seabed, porosity of the breakwater, and ocean currents to comprehend various phenomena related to wave and breakwater interaction in the presence of the uniform ocean currents is analyzed. The boundary element method-based numerical technique is used to solve the associated boundary value problem. The porosity of the breakwater is modeled using the Sollitt and Cross model (Sollitt and Cross in Wave reflection and transmission at permeable breakwaters, 1972) of water wave passes through thick porous structures. The results demonstrate that due to the shift in incident wave frequencies, there are shifts in the curves of wave transformation characteristics. To assure the stability of the breakwater, the results for wave load also demonstrated with numerous values of structural and physical parameters.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.