A quasi-Hamiltonian discretization of the thermal shallow water equations
C Eldred, T Dubos, E Kritsikis - Journal of Computational Physics, 2019 - Elsevier
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 …
numerical methods for three-dimensional atmospheric and oceanic models. However, an …
[HTML][HTML] A structure-preserving split finite element discretization of the split wave equations
We introduce a new finite element (FE) discretization framework applicable for covariant split
equations. The introduction of additional differential forms (DF) that form pairs with the …
equations. The introduction of additional differential forms (DF) that form pairs with the …
A structure-preserving split finite element discretization of the rotating shallow water equations in split Hamiltonian form
We introduce locally conservative, structure-preserving split finite element (FE)
discretizations of a y-independent (slice) model of the covariant rotating shallow water …
discretizations of a y-independent (slice) model of the covariant rotating shallow water …
A structure-preserving approximation of the discrete split rotating shallow water equations
We introduce an efficient split finite element (FE) discretization of a y-independent (slice)
model of the rotating shallow water equations. The study of this slice model provides insight …
model of the rotating shallow water equations. The study of this slice model provides insight …
Hamiltonian Formulation of the Rotating Shallow Water Equations using Split Exterior Calculus
W Bauer, C Eldred - EGU General Assembly Conference …, 2018 - ui.adsabs.harvard.edu
Hamiltonian Formulation of the Rotating Shallow Water Equations using Split Exterior Calculus
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