New method for numerical simulation of a nonstationary potential flow of incompressible fluid with a free surface |
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| Affiliation: | 1. Landau Institute for Theoretical Physics, 2 Kosygin str., Moscow, 117334, Russia;2. Department of Mathematics, University of Arizona, Tucson, AZ 857201, USA;1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, China;2. Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water Resources, Yangtze River Scientific Research Institute, Wuhan, China;1. Centro de Química Estrutural, Instituto Superior Técnico, Universidade de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal;2. Instituto Superior de Engenharia de Lisboa, Departamento de Engenharia Química, R. Conselheiro Emídio Navarro, 1, 1959-007 Lisboa, Portugal;3. Universidade Aberta, R. da Escola Politécnica, 147, 1269-001 Lisboa, Portugal;1. Variable Energy Cyclotron Centre, 1/AF Bidhannagar, Kolkata - 700064, India;2. Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai - 400085, India;3. Indian Institute of Technology Gandhinagar, Gandhinagar - 382355, Gujarat, India;1. New York University, United States;2. St. Petersburg Department of Steklov Institute of Mathematics, Russian Federation;3. St. Petersburg Academic University and St. Petersburg Department of Steklov Institute of Mathematics, Russian Federation |
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| Abstract: | New method for numerical simulation of potential flows with a free surface of two-dimensional fluid, based on combination of the conformal mapping and Fourier Transform is proposed. The method is efficient for study of strongly nonlinear effects in gravity waves including wave breaking and formation of rogue waves. |
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