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Multi-symplectic structure of fully-nonlinear weakly-dispersive internal gravity waves
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.
Cited literature [22 references]
https://hal.archives-ouvertes.fr/hal-01296552
Contributor : Denys DUTYKH Connect in order to contact the contributor
Submitted on : Friday, June 17, 2016 - 11:11:07 AM
Last modification on : Saturday, June 25, 2022 - 11:20:40 PM
Long-term archiving on: : Sunday, September 18, 2016 - 10:59:48 AM
Contributor : Denys DUTYKH Connect in order to contact the contributor
Submitted on : Friday, June 17, 2016 - 11:11:07 AM
Last modification on : Saturday, June 25, 2022 - 11:20:40 PM
Long-term archiving on: : Sunday, September 18, 2016 - 10:59:48 AM
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