Original paper

On discontinuous Galerkin approach for atmospheric flow in the mesoscale with and without moisture

Schuster, Dieter; Brdar, Slavko; Baldauf, Michael; Dedner, Andreas; Klöfkorn, Robert; Kröner, Dietmar

Meteorologische Zeitschrift Vol. 23 No. 4 (2014), p. 449 - 464

43 references

published: Sep 26, 2014
published online: Aug 27, 2014
manuscript accepted: Jun 3, 2014
manuscript revision received: Apr 22, 2014
manuscript revision requested: Mar 10, 2014
manuscript received: Dec 16, 2013

DOI: 10.1127/0941-2948/2014/0565

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Abstract

We present and discuss discontinuous Galerkin (DG) schemes for dry and moist atmospheric flows in the mesoscale. We derive terrain-following coordinates on the sphere in strong-conservation form, which makes it possible to perform the computation on a Cartesian grid and yet conserves the momentum density on an f$f$-plane. A new DG model, i.e. DG-COSMO, is compared to the operational model COSMO of the Deutscher Wetterdienst (DWD). A simplified version of the suggested terrain-following coordinates is implemented in DG-COSMO and is compared against the DG dynamical core implemented within the DUNE framework, which uses unstructured grids to capture orography. Finally, a few idealised test cases, including 3d and moisture, are used for validation. In addition an estimate of efficiency for locally adaptive grids is derived for locally and non-locally occurring phenomena.

Keywords

dynamical corediscontinuous galerkincoupling physics