A fully nonlinear implicit model for wave interactions with submerged structures in forced or free motion |
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| Affiliation: | 1. Saint-Venant Laboratory for Hydraulics, Université Paris-Est (Joint Research Unit Between EDF R&D, CETMEF and Ecole des Ponts Paris-Tech), 6 quai Watier, BP 49, 78401 Chatou Cedex, France;2. Department of Ocean Engineering, University of Rhode Island, Narragansett, 04282 RI, USA;1. Department of Naval Architecture, Ocean and Marine Engineering, University of Strathclyde, Glasgow, UK;2. State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China;1. Centre Internacional de Mètodes Numèrics a l’Enginyeria (CIMNE), Parc Mediterrani de la Tecnologia, UPC, Esteve Terradas 5, 08860 Castelldefels, Spain;2. Universitat Politècnica de Catalunya, Jordi Girona 1-3, Edifici C1, 08034 Barcelona, Spain;1. College of Ship Building Engineering, Harbin Engineering University, Harbin 150001, China;2. State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China;1. Department of Geoscience and Engineering, Faculty of Civil Engineering and Geosciences, Delft University of Technology, P.O. Box 5048, 2600, Delft, the Netherlands;2. Petrobras Research and Development Center CENPES, Av. Horácio Macedo 950, Cidade Universitária, Rio de Janeiro, RJ, 21941-915, Brazil;3. TNO, P.O. Box 80015, 3508, Utrecht, TA, the Netherlands;4. Department of Applied Mathematics, Faculty of Electrical Engineering, Mathematics and Computer Science, Delft University of Technology, P.O. Box 5031, 2600, Delft, the Netherlands |
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| Abstract: | The purpose of this work is to develop advanced numerical tools for modeling two-way fully nonlinear interactions of ocean surface waves (irregular waves in the general situation) with submerged structures undergoing large amplitude motion, that could represent Wave Energy Converters (WECs). In our modeling approach, an existing two-dimensional Numerical Wave Tank (NWT), based on potential flow theory, is extended to include a submerged horizontal cylinder of arbitrary cross-section. The mathematical problem and related numerical solution are first introduced. Then, conservation of volume and conservation of energy are checked, respectively, in the case of a circular cylinder in a prescribed large amplitude motion and in the case of a circular cylinder in a free motion. Interactions between waves and a submerged circular cylinder computed by the model are then compared to mathematical solutions for two situations: a cylinder in prescribed motion and a freely moving cylinder. |
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