A simplified model of the Martian atmosphere -- Part 1: a diagnostic analysis
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 th...
| Main Authors: | , , , |
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| 格式: | Journal article |
| 語言: | English |
| 出版: |
European Geosciences Union
2005
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| 主題: |
| _version_ | 1826297332315979776 |
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| author | Whitehouse, S Lewis, S Moroz, I Read, P |
| author_facet | Whitehouse, S Lewis, S Moroz, I Read, P |
| author_sort | Whitehouse, S |
| collection | OXFORD |
| description | 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 reducedorder 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 baroclinicallyunstable, 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. |
| first_indexed | 2024-03-07T04:29:58Z |
| format | Journal article |
| id | oxford-uuid:cdf7342f-55a8-4b41-af67-90003fcbb4b9 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T04:29:58Z |
| publishDate | 2005 |
| publisher | European Geosciences Union |
| record_format | dspace |
| spelling | oxford-uuid:cdf7342f-55a8-4b41-af67-90003fcbb4b92022-03-27T07:32:29ZA simplified model of the Martian atmosphere -- Part 1: a diagnostic analysisJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:cdf7342f-55a8-4b41-af67-90003fcbb4b9PhysicsMathematicsAtmospheric,Oceanic,and Planetary physicsEnglishOxford University Research Archive - ValetEuropean Geosciences Union2005Whitehouse, SLewis, SMoroz, IRead, PIn 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 reducedorder 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 baroclinicallyunstable, 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. |
| spellingShingle | Physics Mathematics Atmospheric,Oceanic,and Planetary physics Whitehouse, S Lewis, S Moroz, I Read, P A simplified model of the Martian atmosphere -- Part 1: a diagnostic analysis |
| title | A simplified model of the Martian atmosphere -- Part 1: a diagnostic analysis |
| title_full | A simplified model of the Martian atmosphere -- Part 1: a diagnostic analysis |
| title_fullStr | A simplified model of the Martian atmosphere -- Part 1: a diagnostic analysis |
| title_full_unstemmed | A simplified model of the Martian atmosphere -- Part 1: a diagnostic analysis |
| title_short | A simplified model of the Martian atmosphere -- Part 1: a diagnostic analysis |
| title_sort | simplified model of the martian atmosphere part 1 a diagnostic analysis |
| topic | Physics Mathematics Atmospheric,Oceanic,and Planetary physics |
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