Efficient computation of steady solitary gravity waves
Résumé
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.
Domaines
Mécanique des fluides [physics.class-ph] Mécanique des fluides [physics.class-ph] Géophysique [physics.geo-ph] Géophysique [physics.geo-ph] Milieux et Changements globaux Physique Atmosphérique et Océanique [physics.ao-ph] Systèmes Solubles et Intégrables [nlin.SI] Formation de Structures et Solitons [nlin.PS] Physique Numérique [physics.comp-ph] Dynamique des Fluides [physics.flu-dyn] Physique Classique [physics.class-ph]
Origine : Fichiers produits par l'(les) auteur(s)
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