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.
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00786077
Contributeur : Denys Dutykh <>
Soumis le : mercredi 22 mai 2013 - 23:24:42
Dernière modification le : jeudi 28 avril 2016 - 13:53:39
Document(s) archivé(s) le : vendredi 23 août 2013 - 04:17:35

Fichiers

DD_DC-WaveMotion-2013.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Denys Dutykh, Didier Clamond. Efficient computation of steady solitary gravity waves. Wave Motion, Elsevier, 2014, 51 (1), pp.86-99. <http://www.sciencedirect.com/science/article/pii/S0165212513001169>. <10.1016/j.wavemoti.2013.06.007>. <hal-00786077v2>

Partager

Métriques

Consultations de
la notice

633

Téléchargements du document

204