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Second-order theory for coupling 2D numerical and physical wave tanks: Derivation,evaluation and experimental validation
Institution:1. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China;2. Department of Mechanical Engineering, Technical University of Denmark, DK-2800 Kgs. Lyngby, Denmark;1. Department of Clinical Laboratory Center, Shaoxing People''s Hospital, Shaoxing Hospital of Zhejiang University, Shaoxing, Zhejiang 312000, China;2. Department of Integrative Medicine, Zhongshan Hospital, and Laboratory of Neurology, Institute of Integrative Medicine, Fudan University, Shanghai 200032, China;1. Hydrotech Research Institute, National Taiwan University, Taipei 10617, Taiwan;2. Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung 20224, Taiwan;1. Natural Ocean Engineering Laboratory (NOEL), DICEAM, “Mediterranea” University of Reggio Calabria, Loc. Feo di Vito, 89122, Reggio Calabria, Italy;2. IDMEC, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais 1, 1049-001, Lisboa, Portugal;3. Wavenergy.it S.r.l., Reggio Calabria, Italy;1. Harbours and Maritime Structures Division (NPE), Hydraulics and Environment Department (DHA), National Laboratory for Civil Engineering (LNEC), Av. do Brasil 101, 1700-066 Lisbon, Portugal;2. UNIDEMI, Faculdade de Ciências e Tecnologia (FCT), Universidade Nova de Lisboa (UNL), Campus de Caparica, 2829-516 Monte de Caparica, Portugal;3. Escola de Engenharia, Universidade Federal do Rio Grande, Avenida Itália, km 8, Campus Carreiros, Rio Grande, RS 96203-900, Brazil;1. Centre for Marine Technology and Ocean Engineering (CENTEC), Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal;2. Hydraulic Engineering Area, Universidade de Santiago de Compostela, Campus Universitario s/n, 27002, Lugo, Spain
Abstract:A full second-order theory for coupling numerical and physical wave tanks is presented. The ad hoc unified wave generation approach developed by Zhang et al. Zhang, H., Schäffer, H.A., Jakobsen, K.P., 2007. Deterministic combination of numerical and physical coastal wave models. Coast. Eng. 54, 171–186] is extended to include the second-order dispersive correction. The new formulation is presented in a unified form that includes both progressive and evanescent modes and covers wavemaker configurations of the piston- and flap-type. The second order paddle stroke correction allows for improved nonlinear wave generation in the physical wave tank based on target numerical solutions. The performance and efficiency of the new model is first evaluated theoretically based on second order Stokes waves. Due to the complexity of the problem, the proposed method has been truncated at 2D and the treatment of regular waves, and the re-reflection control on the wave paddle is also not included. In order to validate the solution methodology further, a series of nonlinear, periodic waves based on stream function theory are generated in a physical wave tank using a piston-type wavemaker. These experiments show that the new second-order coupling theory provides an improvement in the quality of nonlinear wave generation when compared to existing techniques.
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