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Wave forces on a submerged horizontal plate - Part I: Theory and modelling
Affiliation:1. Department of Maritime Systems Engineering, Texas A&M University, Galveston, TX 77554, USA;2. Department of Ocean and Resources Engineering, SOEST, University of Hawai׳i at Manoa, 2540 Dole St., Holmes Hall 402, Honolulu, HI 96822, USA;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;1. State Key Laboratory of Ocean Engineering, Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai Jiao Tong University, 800 Dongchuan Rd., Shanghai 200240, China;1. College of Shipbuilding Engineering, Harbin Engineering University, 150001 Harbin, China;2. Department of Ocean and Resources Engineering, SOEST, University of Hawai’i at Manoa, 2540 Dole St., Holmes Hall 402, Honolulu, HI 96822, USA;3. Department of Maritime Systems Engineering, Texas A&M University, Galveston, TX 77554, USA;1. Department of Railway Construction Environmental Engineering, Gyeongju University, Gyeongbuk, Korea;2. Korea Institute of Ocean Science & Technology, Gyeonggi, Korea;3. Department of Energy Fusion Service, Gyeongju University, Gyeongbuk, Korea
Abstract:This paper is concerned with the propagation of nonlinear gravity waves over a thin horizontal plate submerged in water of shallow depth. An unsteady solution of the problem is obtained by use of the theory of directed fluid-sheets for the two-dimensional motion of an incompressible and inviscid fluid. Particular attention is paid to the calculation of the nonlinear wave-induced vertical and horizontal forces and overturning moment by solving the Level I Green–Naghdi equations. The theoretical formulation of the problem is given in this paper (Part I), while the results due to solitary and cnoidal waves, and comparisons with the available experimental data are given in a companion paper under the same title (Part II).
Keywords:Submerged horizontal plate  Green–Naghdi equations  Wave forces  Shallow-water waves
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