On the multi-symplectic structure of the Serre-Green-Naghdi equations

Abstract : In this short note, we present a multi-symplectic structure of the Serre-Green-Naghdi (SGN) equations modelling nonlinear long surface waves in shallow water. This multi-symplectic structure allow the use of efficient finite difference or pseudo-spectral numerical schemes preserving exactly the multi-symplectic form at the discrete level.
Liste complète des métadonnées

Cited literature [28 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01221356
Contributor : Denys Dutykh <>
Submitted on : Monday, November 23, 2015 - 2:31:38 PM
Last modification on : Thursday, June 28, 2018 - 12:38:02 PM
Document(s) archivé(s) le : Wednesday, February 24, 2016 - 12:30:35 PM

Files

MC-DD-DC-cSerre-2016.pdf
Files produced by the author(s)

Licence


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

Identifiers

Citation

Marx Chhay, Denys Dutykh, Didier Clamond. On the multi-symplectic structure of the Serre-Green-Naghdi equations. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2016, 49 (3), pp.03LT01. ⟨http://iopscience.iop.org/article/10.1088/1751-8113/49/3/03LT01/⟩. ⟨10.1088/1751-8113/49/3/03LT01⟩. ⟨hal-01221356v2⟩

Share

Metrics

Record views

1210

Files downloads

383