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Titel |
Inherently mass-conservative version of the semi-Lagrangian absolute vorticity (SL-AV) atmospheric model dynamical core |
VerfasserIn |
V. V. Shashkin, M. A. Tolstykh |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1991-959X
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Digitales Dokument |
URL |
Erschienen |
In: Geoscientific Model Development ; 7, no. 1 ; Nr. 7, no. 1 (2014-02-21), S.407-417 |
Datensatznummer |
250115549
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Publikation (Nr.) |
copernicus.org/gmd-7-407-2014.pdf |
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Zusammenfassung |
The semi-Lagrangian absolute vorticity (SL-AV) atmospheric model is the
global semi-Lagrangian hydrostatic model used for operational medium-range
and seasonal forecasts at the Hydrometeorological Centre of Russia. The distinct
feature of the SL-AV dynamical core is the semi-implicit, semi-Lagrangian
vorticity-divergence formulation on the unstaggered grid. A semi-implicit,
semi-Lagrangian approach allows for long time steps but violates the global
and local mass conservation. In particular, the total mass in simulations
with semi-Lagrangian models can drift significantly if no a posteriori
mass-fixing algorithm is applied. However, the global mass-fixing
algorithms degrade the local mass conservation.
The new inherently mass-conservative version of the SL-AV model dynamical core
presented here ensures global and local mass conservation without
mass-fixing algorithms. The mass conservation is achieved with the
introduction of the finite-volume, semi-Lagrangian discretization for a
continuity equation based on the 3-D extension of the conservative cascade
semi-Lagrangian transport scheme (CCS). Numerical experiments show that
the new version of the SL-AV dynamical core presented combines the accuracy and
stability of the standard SL-AV dynamical core with the mass-conservation
properties. The results of the mountain-induced Rossby-wave test and
baroclinic instability test for the mass-conservative dynamical core are found to
be in agreement with the results available in the literature. |
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