On the analysis of 2D nonlinear gravity waves with a fully nonlinear numerical model |
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| Affiliation: | 1. Centre for Marine Technology and Ocean Engineering (CENTEC), Instituto Superior Técnico, Universidade de Lisboa, Portugal;2. Department of Infrastructure Engineering, University of Melbourne, Victoria 3010, Australia;3. Centre for Ocean Engineering Science and Technology, Swinburne University of Technology, Victoria 3122, Australia;1. College of Construction Engineering, Jilin University, Changchun 130026, PR China;2. Department of Mechanical Engineering, University of California, Berkeley, CA 94720, USA;1. Deepwater Technology Research Centre (DTRC), Bureau Veritas, 117674, Singapore;2. School of Civil, Environmental and Mining Engineering, University of Western Australia, Perth, Australia;1. Departments of Navel Architecture, Ocean and Structural Engineering, School of Transportation, Wuhan University of Technology, Wuhan, Hubei, China;2. State Key Laboratory of Ocean Engineering, Collaborative Innovation Centre for Advanced Ship and Deep-Sea Exploration, Shanghai Jiaotong University, Shanghai, 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 200240, China;3. Key Laboratory of Ships and Ocean Engineering of Fujian Province, Jimei University, Xiamen 361021, China;4. School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang 212003, China;1. HSVA, Hamburgische Schiffbau-Versuchsanstalt GmbH, Hamburg, Germany;2. Centre for Marine Technology and Ocean Engineering (CENTEC), Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, Lisboa, 1049-001 Portugal |
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| Abstract: | A fully nonlinear numerical method, developed on the basis of Euler equations, is used to study the dynamics of nonlinear gravity waves, mainly in the aspects of the propagation of Stokes wave with disturbed sidebands, the evolution of one wave packet and the interaction of two wave groups. These cases have previously been studied with the higher order spectral method, which will be an approximately fully nonlinear scheme if the order of nonlinearity is not large enough, while the present method in the case of the 2D model has an integration scheme that is exact to the computer precision. As expected, in most cases the results are consistent between these two numerical models and it is confirmed again that this fully nonlinear numerical model is also capable of maintaining a high accuracy and good convergence, particularly in the long-term evolutionary process. |
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| Keywords: | Chalikov and Sheinin model Fully nonlinear interaction HOS method Stokes wave train Wave group Wave profile |
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