A plethora of generalised solitary gravity-capillary water waves - Archive ouverte HAL Access content directly
Journal Articles Journal of Fluid Mechanics Year : 2015

A plethora of generalised solitary gravity-capillary water waves

Abstract

The present study describes, first, an efficient algorithm for computing capillary-gravity solitary waves solutions of the irrotational Euler equations with a free surface and, second, provides numerical evidences of the existence of an infinite number of generalised solitary waves (solitary waves with undamped oscillatory wings). Using conformal mapping, the unknown fluid domain, which is to be determined, is mapped into a uniform strip of the complex plane. In the transformed domain, a Babenko-like equation is then derived and solved numerically.
Fichier principal
Vignette du fichier
CD_DD_AD-CGBabenko-2015.pdf (456.65 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01081798 , version 1 (11-11-2014)
hal-01081798 , version 2 (01-07-2015)
hal-01081798 , version 3 (07-10-2015)

Identifiers

Cite

Didier Clamond, Denys Dutykh, Angel Durán. A plethora of generalised solitary gravity-capillary water waves. Journal of Fluid Mechanics, 2015, 784, pp.664-680. ⟨10.1017/jfm.2015.616⟩. ⟨hal-01081798v3⟩
337 View
172 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More