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Keywords: Finite elements Finite volumes Shallow water equations Triangular grid Spherical geometry Surface a b s t r a c t A global model of the atmosphere is presented governed by the shallow water equations and discretized by a Runge–Kutta discontinuous Galerkin method on an unstructured triangular grid. The shallow water equations on the sphere, a… (More)

The parallel adaptive model PLASMA has been developed for modeling a barotropic atmosphere. This model adapts the computational grid at every time step according to a physical error indicator. Thus, compared to uniform grid experiments the number of grid points is reduced significantly. At the same time, the error increases only slightly, when comparing… (More)

A global barotropic model of the atmosphere is presented governed by the shallow water equations and discretized by a Runge-Kutta discontinuous Galerkin method on an unstructured triangular grid. The shallow water equations on the sphere, a two-dimensional surface in R 3 , are locally represented in terms of spherical triangular coordinates, the appropriate… (More)

- S. Brand, D. Handorf, Alfred Wegener
- 2007

Stratospheric ozone is an important factor impacting on climate dynamics and thus on atmospheric variability. Aiming to develop a better general understanding of chemistry-dynamics feedbacks, we applied a coupled atmosphere-ocean-sea ice general circulation model (AOGCM) with interactive chemistry, extending up to 80 km. With this model, ECHO-GiSP, two… (More)

An adaptive parallel spherical shallow-water model is introduced that uses the Lagrange-Galerkin method (semi-Lagrangian method + finite element method (FEM)). The scalar formulation of the shallow-water equations, its discretisation and numerical realization are described using suitable techniques for spatial adaptivity, e.g., a stable discretization… (More)

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