Skip to Main content Skip to Navigation
Journal articles

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.
Complete list of metadata

Cited literature [22 references]  Display  Hide  Download
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


Files produced by the author(s)


Distributed under a Creative Commons Attribution - NonCommercial - NoDerivatives 4.0 International License



Didier Clamond, Denys Dutykh. Multi-symplectic structure of fully-nonlinear weakly-dispersive internal gravity waves. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2016, 49, pp.31LT01. ⟨10.1088/1751-8113/49/31/31LT01⟩. ⟨hal-01296552v2⟩



Record views


Files downloads