Energy conserving upwinded compatible finite element schemes for the rotating shallow water equations

•Combine compatible finite element method with Hamiltonian framework.•Include upwinding schemes while maintaining energy conservation.•Obtain more stable fields, with energy conservation up to machine precision. We present an energy conserving space discretisation of the rotating shallow water equat...

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Veröffentlicht in:	Journal of computational physics 2020-01, Vol.401, p.109016, Article 109016
Hauptverfasser:	Wimmer, Golo A., Cotter, Colin J., Bauer, Werner
Format:	Artikel
Sprache:	eng
Schlagworte:	Compatible finite element methods Computational fluid dynamics Computational physics Discretization Energy Euler-Lagrange equation Hamiltonian mechanics Mathematical analysis Mathematics Numerical Analysis Rotation Shallow water equations Stability Upwinding
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