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Bragg reflection of water waves by multiple submerged semi-circular breakwaters
Institution:1. Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China, Qingdao 266100, China;2. Qinhuangdao Mineral Resource and Hydrogeological Brigade, Hebei Geological Prospecting Bureau, Qinhuangdao 066001, China;1. Shandong Provincial Key Laboratory of Ocean Engineering, Ocean University of China, Qingdao 266100, China;2. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, 92 Weijin Road, Nankai District, Tianjin 300072, China;2. Department of Civil and Environmental Engineering, The University of Maine, 5711 Boardman Hall, Orono, ME 04469-5711, USA;3. Tianjin Key Laboratory of Soft Soil Characteristics & Engineering Environment, Tianjin Chengjian University, 26 Jinjing Road, Xiqing District, Tianjin 300384, China;4. State Key Laboratory of Hydraulics and Mountain River Engineering, Sichuan University, Chengdu 610065, China
Abstract:This study examines the Bragg reflection of water waves by multiple submerged semi-circular breakwaters. The multipole expansions combined with the shift of polar coordinates are used to develop full linear potential solutions of the problem. In the full solutions, the obliquely and normally incident waves are independently considered. Experimental tests are carried out to measure the reflection and transmission coefficients of the breakwaters at different wave periods and body spacings. The analytical results are in reasonable agreement with the experimental data. The peak reflection coefficient of multiple submerged semi-circular breakwaters and the bandwidth of Bragg reflection are carefully examined by numerical examples. Some significant results for practical application are discussed.
Keywords:Semi-circular breakwaters  Bragg reflection  Multipole expansions  Experimental tests
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