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.
Original language | British English |
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Article number | 03LT01 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 49 |
Issue number | 3 |
DOIs | |
State | Published - 22 Jan 2016 |
Keywords
- fully nonlinear long waves
- Green-Naghdi model
- multi-symplectic structure
- Serre equations