Finite volume and pseudo-spectral schemes for the fully nonlinear 'irrotational' Serre equations
Résumé
After we derive the Serre system of equations of water wave theory from a generalized variational principle, we present some of its structural properties. We also propose a robust and accurate finite difference scheme to solve these equations based on the finite volume method. The numerical discretization is validated by comparisons with analytical, experimental data or other numerical solutions obtained by a highly accurate pseudo-spectral method.
Domaines
Mécanique des fluides [physics.class-ph] Mécanique des fluides [physics.class-ph] Analyse numérique [math.NA] Equations aux dérivées partielles [math.AP] Formation de Structures et Solitons [nlin.PS] Dynamique des Fluides [physics.flu-dyn] Physique Numérique [physics.comp-ph] Physique Atmosphérique et Océanique [physics.ao-ph]Origine | Fichiers produits par l'(les) auteur(s) |
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