Dissipation of incident wave energy by two floating horizontal porous plates over a trench-type bottom

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作者

Sunita Choudhary¹ , Subash Chandra Martha¹

1. Department of Mathematics, Indian Institute of Technology Ropar

会议/活动

Cynasore 2023, December 2022 (Rupnagar, India)

海报摘要

A mathematical model for wave interaction with a pair of plates over a trench-type bottom topography is developed. This problem is modelled based on Darcy's law for flow past a porous structure. Havelock's expansions of water wave potentials, suitable matching conditions, and the algebraic least-square method handle the boundary value problem. The role of the horizontal porous plates is studied by analysing the scattering coefficients, energy loss, hydrodynamic wave force and free surface elevation through graphs which show a periodic oscillatory pattern as a function of gap length. The study reveals that if the porous effect parameter of plates or the length of plates is increased, more energy is dissipated, and the plates experience less wave force. The free surface elevation on the lee side is decreased. The findings from the present model are likely to help understand the role of breakwaters in engineering applications.

关键词

Eigenfunction expansion method, Algebraic least-square method, System of equation

研究领域

Mathematics, Mechanical Engineering

参考文献

1. Linton, C.M., 2001. The finite dock problem. Zeitschrift für angewandte Mathematik und Physik (ZAMP), 52(4), pp.640-656.
2. Cho, I.H. and Kim, M.H., 2013. Transmission of oblique incident waves by a submerged horizontal porous plate. Ocean Engineering, 61, pp.56-65.
3. Chakraborty, R. and Mandal, B.N., 2015. Oblique wave scattering by a rectangular submarine trench. The ANZIAM Journal, 56(3), pp.286-298.

基金

1. University Grants Commission (UGC), Govt. of India (No. Ref. No. JUNE18-419784)

补充材料

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附加信息

利益冲突

No competing interests were disclosed.

数据可用性声明

The datasets generated during and / or analyzed during the current study are available from the corresponding author on reasonable request.

知识共享许可协议

Copyright © 2023 Choudhary et al. This is an open access work distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.