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Potential flow simulations of Peregrine‐type deep water surface gravity wave packets
Author(s) -
Wenzel Arne,
Bünte Dennis,
Hoffmann Norbert P.
Publication year - 2015
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201510259
Subject(s) - wave packet , breather , envelope (radar) , amplification factor , nonlinear system , physics , flow (mathematics) , mechanics , quantum mechanics , computer science , telecommunications , amplifier , radar , optoelectronics , cmos
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)