Inherently mass-conservative version of the semi-Lagrangian absolute vorticity (SL-AV) atmospheric model dynamical core
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-Lagrangia...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Copernicus Publications
2014-02-01
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| Series: | Geoscientific Model Development |
| Online Access: | http://www.geosci-model-dev.net/7/407/2014/gmd-7-407-2014.pdf |
| _version_ | 1818892226120384512 |
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| author | V. V. Shashkin M. A. Tolstykh |
| author_facet | V. V. Shashkin M. A. Tolstykh |
| author_sort | V. V. Shashkin |
| collection | DOAJ |
| description | 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.
<br><br>
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. |
| first_indexed | 2024-12-19T17:53:20Z |
| format | Article |
| id | doaj.art-51ab85b2b65c4e868ba5163b912cd8e6 |
| institution | Directory Open Access Journal |
| issn | 1991-959X 1991-9603 |
| language | English |
| last_indexed | 2024-12-19T17:53:20Z |
| publishDate | 2014-02-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Geoscientific Model Development |
| spelling | doaj.art-51ab85b2b65c4e868ba5163b912cd8e62022-12-21T20:11:53ZengCopernicus PublicationsGeoscientific Model Development1991-959X1991-96032014-02-017140741710.5194/gmd-7-407-2014Inherently mass-conservative version of the semi-Lagrangian absolute vorticity (SL-AV) atmospheric model dynamical coreV. V. Shashkin0M. A. Tolstykh1Institute of Numerical Mathematics, Russian Academy of Sciences, 8, Gubkina St., 119333 Moscow, RussiaInstitute of Numerical Mathematics, Russian Academy of Sciences, 8, Gubkina St., 119333 Moscow, RussiaThe 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. <br><br> 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.http://www.geosci-model-dev.net/7/407/2014/gmd-7-407-2014.pdf |
| spellingShingle | V. V. Shashkin M. A. Tolstykh Inherently mass-conservative version of the semi-Lagrangian absolute vorticity (SL-AV) atmospheric model dynamical core Geoscientific Model Development |
| title | Inherently mass-conservative version of the semi-Lagrangian absolute vorticity (SL-AV) atmospheric model dynamical core |
| title_full | Inherently mass-conservative version of the semi-Lagrangian absolute vorticity (SL-AV) atmospheric model dynamical core |
| title_fullStr | Inherently mass-conservative version of the semi-Lagrangian absolute vorticity (SL-AV) atmospheric model dynamical core |
| title_full_unstemmed | Inherently mass-conservative version of the semi-Lagrangian absolute vorticity (SL-AV) atmospheric model dynamical core |
| title_short | Inherently mass-conservative version of the semi-Lagrangian absolute vorticity (SL-AV) atmospheric model dynamical core |
| title_sort | inherently mass conservative version of the semi lagrangian absolute vorticity sl av atmospheric model dynamical core |
| url | http://www.geosci-model-dev.net/7/407/2014/gmd-7-407-2014.pdf |
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