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Efficient computation of steady solitary gravity waves

Abstract : 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 the Tanaka method and Fenton's high-order asymptotic expansion. Several important integral quantities are numerically 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.
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Contributor : Denys Dutykh <>
Submitted on : Wednesday, May 22, 2013 - 11:24:42 PM
Last modification on : Tuesday, May 26, 2020 - 6:50:08 PM
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Denys Dutykh, Didier Clamond. Efficient computation of steady solitary gravity waves. Wave Motion, Elsevier, 2014, 51 (1), pp.86-99. ⟨10.1016/j.wavemoti.2013.06.007⟩. ⟨hal-00786077v2⟩

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