A quasi-Hamiltonian discretization of the thermal shallow water equations

The rotating shallow water (RSW) equations are the usual testbed for the development of numerical methods for three-dimensional atmospheric and oceanic models. However, an arguably more useful set of equations are the thermal shallow water equations (TSW), which introduce an additional thermodynamic...

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Veröffentlicht in:	Journal of computational physics 2019-02, Vol.379, p.1-31
Hauptverfasser:	Eldred, Christopher, Dubos, Thomas, Kritsikis, Evaggelos
Format:	Artikel
Sprache:	eng
Schlagworte:	Atmospheric models Computational physics Discretization Dynamical core Energy conservation Engineering Sciences Environmental Sciences Equations of motion Finite element exterior calculus Fluids mechanics Galerkin method Hamiltonian mechanics Mathematics Mechanics Mimetic Galerkin differences Mixed finite elements Numerical methods Ocean models Physics Shallow water equations Thermal shallow water equations Three dimensional models
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