Multi-symplectic structure of fully-nonlinear weakly-dispersive internal gravity wavesReport as inadecuate




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1 JAD - Laboratoire Jean Alexandre Dieudonné 2 LAMA - Laboratoire de Mathématiques

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.

Keywords : two-layer flow internal waves Green-Naghdi equations long waves multi-symplectic structure





Author: Didier Clamond - Denys Dutykh -

Source: https://hal.archives-ouvertes.fr/



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