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Analysis of water wave interaction with multiple submerged semi-circular porous structures

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Abstract

The impact of an array of bottom-mounted semi-circular breakwaters on wave scattering and trapping is investigated. Under the assumption of linear water wave theory, a computational solution is developed using the methods of eigenfunction expansion and multi-domain boundary element. In order to understand how different structural and wave characteristics affect wave flow, the reflection, transmission and dissipation factors are evaluated and investigated. The study reveals that the Bragg reflection happens when a series of porous semi-circular breakwaters scatter waves. In addition, the presence of four structures causes nearly \(80\%\) of the wave energy to dissipate. As the number of semi-circular breakwaters rises, the hydrodynamic forces acting on the impermeable sea wall greatly reduce. The study concludes that the number of structures, radius and porous-effect parameters of the structures plays a vital role in wave reflection, reducing the hydrodynamic load on the impenetrable sea wall.

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Acknowledgements

HB gratefully acknowledges the financial support from the Science and Engineering Research Board, Dept. of Science and Technology, Govt. of India, through the MATRICS project (Award Number MTR/2021/000870). T-W Hsu acknowledges the financial support from the National Science and Technology Council of Taiwan (Grant No. MOST 111-2811-E-019-004).

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Authors and Affiliations

  1. Center of Excellence for Ocean Engineering, National Taiwan Ocean University, Keelung, 202301, Taiwan

    Chia-Cheng Tsai, Harekrushna Behera & Tai-Wen Hsu

  2. Department of Mathematics, SRM Institute of Science and Technology, Kattankulathur, 603203, Tamil Nadu, India

    Harekrushna Behera

  3. Bachelor Degree Program in Ocean Engineering and Technology, National Taiwan Ocean University, Keelung, 202301, Taiwan

    Chia-Cheng Tsai

  4. Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung, 202301, Taiwan

    Tai-Wen Hsu

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  1. Chia-Cheng Tsai
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Correspondence to Harekrushna Behera.

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Tsai, CC., Behera, H. & Hsu, TW. Analysis of water wave interaction with multiple submerged semi-circular porous structures. Arch Appl Mech 93, 2693–2709 (2023). https://doi.org/10.1007/s00419-023-02402-7

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