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.
Domains
Fluid mechanics [physics.class-ph] Analysis of PDEs [math.AP] Classical Analysis and ODEs [math.CA] Pattern Formation and Solitons [nlin.PS] Exactly Solvable and Integrable Systems [nlin.SI] Mathematical Physics [math-ph] Atmospheric and Oceanic Physics [physics.ao-ph] Fluid Dynamics [physics.flu-dyn]Origin | Files produced by the author(s) |
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