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
Contributor : Denys Dutykh
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Submitted on : Friday, June 17, 2016 - 11:11:07 AM
Last modification on : Friday, January 12, 2018 - 1:51:48 AM
Document(s) archivé(s) le : Sunday, September 18, 2016 - 10:59:48 AM
