Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations
Résumé
Some effects of surface tension on fully-nonlinear, long, surface water waves are studied by numerical means. The differences between various solitary waves and their interactions in subcritical and supercritical surface tension regimes are presented. Analytical expressions for new peaked travelling wave solutions are presented in the case of critical surface tension. The numerical experiments were performed using a high-accurate finite element method based on smooth cubic splines and the four-stage, classical, explicit Runge-Kutta method of order four.
Domaines
Mécanique des fluides [physics.class-ph] Equations aux dérivées partielles [math.AP] Analyse classique [math.CA] Analyse numérique [math.NA] Formation de Structures et Solitons [nlin.PS] Systèmes Solubles et Intégrables [nlin.SI] Physique Classique [physics.class-ph] Physique Numérique [physics.comp-ph] Physique Atmosphérique et Océanique [physics.ao-ph] Dynamique des Fluides [physics.flu-dyn]| Origine | Fichiers produits par l'(les) auteur(s) |
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