Potential flow simulations of Peregrine-type deep water surface gravity wave packets |
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| Authors: | Arne Wenzel Dennis Bünte Norbert P Hoffmann |
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| Institution: | 1. Hamburg University of Technology, Dynamics Group,Schlossmuehlendamm 30, 21073 Hamburg, Germany;2. Imperial College London, Department of Mechanical Engineering, United Kingdom |
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| Abstract: | Applying a higher order spectral method for potential flow we numerically determine the time evolution of non-linear deep water wave packets originating from initial conditions derived from the Peregrine breather solution of the non-linear Schrödinger equation (NLS). The spatio-temporal evolution of the wave packets qualitatively agrees well with what would be expected from lowest order weakly nonlinear estimates (NLS). Some quantitative discrepancies do, however, exist: The maximum wave envelope amplification appears retarded with respect to the NLS predictions. The amplification factor slightly exceeds the factor known from the NLS solution. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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