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| Titel |
A simplified model of the Martian atmosphere - Part 1: a diagnostic analysis |
| VerfasserIn |
S. G. Whitehouse, S. R. Lewis, I. M. Moroz, P. L. Read |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 12, no. 5 ; Nr. 12, no. 5 (2005-06-17), S.603-623 |
| Datensatznummer |
250010771
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| Publikation (Nr.) |
 copernicus.org/npg-12-603-2005.pdf |
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| Zusammenfassung |
| In this paper we derive a reduced-order approximation to the vertical
and horizontal structure of a simplified model of the baroclinically
unstable Martian atmosphere. The original model uses the full hydrostatic
primitive equations on a sphere, but has only highly simplified
schemes to represent the detailed physics of the Martian atmosphere,
e.g. forcing towards a plausible zonal mean temperature state using
Newtonian cooling. Three different norms are used to monitor energy
conversion processes in the model and are then compared. When four
vertical modes (the barotropic and first three baroclinic modes) are
retained in the reduced-order approximation, the correlation norm
captures approximately 90% of the variance, while the kinetic energy
and total energy norms capture approximately 83% and 78% of the
kinetic and total energy respectively. We show that the leading order
Proper Orthogonal Decomposition (POD) modes represent the dominant
travelling waves in the baroclinically-unstable, winter hemisphere. In
part 2 of our study we will develop a hierarchy of truncated
POD-Galerkin expansions of the model equations using up to four
vertical modes. |
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