Contribution
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 références bibliographiques
publié: Sep 26, 2014
publication en ligne: Aug 27, 2014
manuscrit accepté: Jun 3, 2014
révision final du manuscrit reçu: Apr 22, 2014
révision du manuscrit demandée: Mar 10, 2014
manuscrit reçu: Dec 16, 2013
DOI: 10.1127/0941-2948/2014/0565
Open Access (article peut être télechargé gratuitement)
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.
Mots-clefs
dynamical core • discontinuous galerkin • coupling physics