Journal
WAVE MOTION
Volume 51, Issue 1, Pages 86-99Publisher
ELSEVIER
DOI: 10.1016/j.wavemoti.2013.06.007
Keywords
Surface waves; Gravity waves; Euler equations; Solitary wave; Petviashvili method
Categories
Funding
- ERC [ERC-2011-AdG 290562-MULTIWAVE]
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An efficient numerical method to compute solitary wave solutions to the free surface Euler equations is reported. It is based on the conformal mapping technique combined with an efficient Fourier pseudo-spectral method. The resulting nonlinear equation is solved via the Petviashvili iterative scheme. The computational results are compared to some existing approaches, such as Tanaka's method and Fenton's high-order asymptotic expansion. Several important integral quantities are computed for a large range of amplitudes. The integral representation of the velocity and acceleration fields in the bulk of the fluid is also provided. (C) 2013 Elsevier B.V. All rights reserved.
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