In Huang and Teng (2020), the effects of the channel walls on the second-order hydrodynamic characteristics of three-dimensional bodies in monochromatic incident waves were investigated. To ensure the high accuracy and efficiency of the calculation, robust numerical algorithms have been developed to treat the troublesome integrals over the free surface, body surface and up- and down-wave vertical surfaces involved in the second-order analysis. In the present study, Huang and Teng (2020)'s work is extended to the cases of bichromatic incident waves, and some improvements in the numerical algorithms are made. The expressions of the locked potentials including both the propagating and evanescent modes are derived. Since the up- and down-wave vertical surfaces are allowed to be placed close to the body, the calculation of the free surface integral can be performed in a small region, and an analytical method is developed to directly evaluate the up- and down-wave vertical surface integrals. After solving the boundary integral equation, the sum- and difference-frequency radiation and diffraction potentials are obtained explicitly. Numerical results for the quadratic transfer functions of the second-order free surface elevation, pressure and force are given for a series of geometries in channels.
机构:
State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin UniversityState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
Jiawen Li
Yichen Jiang
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Department of Mechanical Engineering, University of California at BerkeleyState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
Yichen Jiang
Yougang Tang
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin UniversityState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
Yougang Tang
Xiaoqi Qu
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin UniversityState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
Xiaoqi Qu
Jiawei Zhai
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin UniversityState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, TianjinState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin
Li J.
Jiang Y.
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Department of Mechanical Engineering, University of California at Berkeley, Berkeley, 94720-1740, CAState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin
Jiang Y.
Tang Y.
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, TianjinState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin
Tang Y.
Qu X.
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, TianjinState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin
Qu X.
Zhai J.
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, TianjinState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin UniversityState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
Jiawen Li
Yichen Jiang
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Department of Mechanical Engineering, University of California atState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
Yichen Jiang
Yougang Tang
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin UniversityState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
Yougang Tang
Xiaoqi Qu
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin UniversityState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
Xiaoqi Qu
Jiawei Zhai
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin UniversityState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
机构:
Inst Teknol Bandung, New & Renewable Energy Res Ctr, Bandung, West Java, Indonesia
Inst Teknol Bandung, Offshore Engn Res Grp, Bandung, West Java, IndonesiaInst Teknol Bandung, New & Renewable Energy Res Ctr, Bandung, West Java, Indonesia
Bakti, Farid P.
Kim, MooHyun
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Texas A&M Univ, Dept Ocean Engn, College Stn, TX USAInst Teknol Bandung, New & Renewable Energy Res Ctr, Bandung, West Java, Indonesia
机构:
Centre for Autonomous Marine Operations and Systems (AMOS), Norwegian University of Science and Technology (NTNU), Trondheim
Department of Marine Technology, Norwegian University of Science and Technology (NTNU), TrondheimCentre for Autonomous Marine Operations and Systems (AMOS), Norwegian University of Science and Technology (NTNU), Trondheim
机构:
State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
Collaborative Innovation Center for Advanced Ship and Deep-Sea ExplorationState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
WANG Bin
TANG Yougang
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin UniversityState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
TANG Yougang
LI Yan
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin UniversityState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University
LI Yan
CAI Runbo
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State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin UniversityState Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University