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| Titel |
A simplified model of the Martian atmosphere - Part 2: a POD-Galerkin 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.625-642 |
| Datensatznummer |
250010772
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| Publikation (Nr.) |
 copernicus.org/npg-12-625-2005.pdf |
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| Zusammenfassung |
| In Part I of this study Whitehouse et al. (2005) performed a
diagnostic analysis of a simplied model of the Martian atmosphere, in
which topography was absent and in which heating was modelled as
Newtonian relaxation towards a zonally symmetric equilibrium
temperature field. There we derived a reduced-order approximation to
the vertical and the horizonal structure of the baroclinically
unstable Martian atmosphere, retaining only the barotropic mode and
the leading order baroclinic modes. Our objectives in Part II of the
study are to incorporate these approximations into a Proper Orthogonal
Decomposition-Galerkin expansion of the spherical quasi-geostrophic
model in order to derive hierarchies of nonlinear ordinary
differential equations for the time-varying coefficients of the
spatial structures. Two different vertical truncations are considered,
as well as three different norms and 3 different Galerkin
truncations. We investigate each in turn, using tools from bifurcation
theory, to determine which of the systems most closely resembles the
data for which the original diagnostics were performed. |
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