Scattering of gravity waves by multiple surface-piercing floating membrane |
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| Institution: | 1. Department of Marine Environmental Engineering, National Kaohsiung Marine University, Kaohsiung 811, Taiwan;2. International Wave Dynamics Research Center, National Cheng Kung University, Tainan 701, Taiwan;3. Department of Business Administration, Tainan University of Technology, Tainan 529, Taiwan;4. Department of Harbor & River Engineering and Research Center for Ocean Energy and Strategies, National Taiwan Ocean University, Keelung 202, Taiwan;1. Department of Mathematics, Jadavpur University, Kolkata 700032, India;2. NASI Senior Scientist, Physics and Applied Mathematics Unit, Indian Statistical Institute, 203, B.T. Road, Kolkata 700 108, India;1. School of Mathematical and Physical Sciences, The University of Newcastle, Callaghan 2308, Australia;2. School of Mathematical Sciences, University of Adelaide, Adelaide 5005, Australia;3. Institute of Mathematics, University of Augsburg, 86135 Augsburg, Germany;4. Augsburg Centre for Innovative Technologies, University of Augsburg, 86135 Augsburg, Germany |
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| Abstract: | Interaction of surface gravity waves with multiple vertically moored surface-piercing membrane breakwaters in finite water depth is analyzed based on the linearized theory of water waves. The study is carried out using least square approximation method to understand the effect of the vertical membrane as effective breakwater. Initially the problem is studied for a single membrane wave barrier but for the case of multiple membrane breakwaters the study is carried out using the method of wide-spacing approximation. In the present study, it is observed that the deflection of the membrane is reduced with the increase in the stiffness parameter of the mooring lines attached to the membrane. In the case of single surface-piercing membrane with moored and fixed edge conditions, the reflection and transmission coefficients are compared and analyzed in detail. The resonating pattern in the reflection coefficients are also observed for multiple floating membrane which can also be referred as Bragg's resonance. In the presence of the porosity constant the wave reflection is also observed to be decreasing and the change in the distance between the vertical floating breakwaters also helps in the attenuation of wave height. It is observed that the presence of multiple floating breakwater helps in the reduction of wave height in the transmitted region. |
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