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Interaction of cnoidal waves with an array of vertical concentric porous cylinders
Institution:1. Department of Engineering Mechanics, Sun Yat-Sen University, Guangzhou, China;2. Department of Engineering Mechanics, Tsinghua University, Beijing, China;3. Department of Mechanical and Aerospace Engineering, Hong Kong University of Science and Technology, Kowloon, Hong Kong;1. School of Marine Science and Technology, Tianjin University, Tianjin 300072, China;2. Key Laboratory of Marine Environment and Ecology, Ministry of Education, Qingdao 266100, China;3. College of Environmental Science and Engineering, Ocean University of China, Qingdao 266100, China;1. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang, 212003, China;2. Research Unit for Water, Environment and Infrastructure Resilience (WEIR), Department of Architecture and Civil Engineering, University of Bath, BA2 7AY, UK;3. School of Civil Engineering and Architecture, Northeast Electric Power University, Jilin, 132012, China;1. State Key Laboratory of Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;2. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai Jiao Tong University, Shanghai 200240, China;3. MOE Key Laboratory of Hydrodynamics, Shanghai Jiao Tong University, Shanghai 200240, China;4. State Key Laboratory of Hydroscience and Engineering, Tsinghua University, Beijing 100084, China;5. State Key Laboratory of Hydrology-Water Resources and Hydraulic Engineering, HoHai University, Nanjing 210098, China
Abstract:An array of large concentric porous cylinder arrays is mounted in shallow water exposed to cnoidal waves. The interactions between waves and cylinders are studied theoretically using an eigenfunction expansion approach. Semi-analytical solutions of hydrodynamic loads and wave run-up on each cylinder are obtained using first approximation to cnoidal waves. The square array configuration of four-legged identical concentric porous cylinder is investigated in present study. Numerical results reveal the variation of dimensionless wave force and wave run-up on individual cylinder with angle of incidence, porosity parameter, spacing between outer and inner cylinders, spacing between concentric porous cylinders and wave parameter. Different mechanism of wave force is found under different range of scattering parameter.
Keywords:Cnoidal waves  Concentric porous  Cylinder array  Diffraction  Wave forces  Wave run-up
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