Abstract : In this short communication we present the multi-symplectic structure for the two-layer Serre-Green-Naghdi equations describing the evolution of large amplitude internal gravity long waves. We consider only a two-layer stratification with rigid bottom and lid for simplicity, generalisations to several layers being straightforward. This multi-symplectic formulation allows the application of various multi-symplectic integrators (such as Euler or Preissman box schemes) that preserve exactly the multi-symplecticity at the discrete level.
https://hal.archives-ouvertes.fr/hal-01296552
Contributeur : Denys Dutykh
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Soumis le : vendredi 17 juin 2016 - 11:11:07
Dernière modification le : vendredi 12 janvier 2018 - 01:51:48
Document(s) archivé(s) le : dimanche 18 septembre 2016 - 10:59:48
