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Journal Articles Wave Motion Year : 2014

Efficient computation of steady solitary gravity waves


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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Dates and versions

hal-00786077 , version 1 (07-02-2013)
hal-00786077 , version 2 (22-05-2013)


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Denys Dutykh, Didier Clamond. Efficient computation of steady solitary gravity waves. Wave Motion, 2014, 51 (1), pp.86-99. ⟨10.1016/j.wavemoti.2013.06.007⟩. ⟨hal-00786077v2⟩
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