Finite volume and pseudo-spectral schemes for the fully nonlinear 1D 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 volume scheme to solve these equations in one horizontal dimension. The numerical discretization is validated by comparisons with analytical, experimental data or other numerical solutions obtained by a highly accurate pseudo-spectral method.
Domaines
Dynamique des Fluides [physics.flu-dyn] Mécanique des fluides [physics.class-ph] Analyse numérique [math.NA] Equations aux dérivées partielles [math.AP] Formation de Structures et Solitons [nlin.PS] Mécanique des fluides [physics.class-ph] Physique Numérique [physics.comp-ph] Physique Atmosphérique et Océanique [physics.ao-ph]Origine | Fichiers produits par l'(les) auteur(s) |
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