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Approximations of steady periodic water waves in flows with constant vorticity
Institution:1. Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria;2. Radon Institute of Computational and Applied Mathematics, Altenberger Str. 69, 4040 Linz, Austria;3. Computational Science Center, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Vienna, Austria;1. LAMA, UMR 5127 CNRS, Université Savoie Mont Blanc, Campus Scientifique, 73376 Le Bourget-du-Lac Cedex, France;2. Simion Stoilow Institute of Mathematics of the Romanian Academy, Research Unit No. 6, P.O. Box 1-764, RO-014700, Bucharest, Romania
Abstract:We provide high-order approximations to periodic travelling wave profiles and to the velocity field and the pressure beneath the waves, in flows with constant vorticity over a flat bed.
Keywords:Travelling water waves  Vorticity  Velocity field  Pressure
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