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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 12, issue 5
Nonlin. Processes Geophys., 12, 603–623, 2005
https://doi.org/10.5194/npg-12-603-2005
© Author(s) 2005. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.
Nonlin. Processes Geophys., 12, 603–623, 2005
https://doi.org/10.5194/npg-12-603-2005
© Author(s) 2005. This work is licensed under
the Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.

  17 Jun 2005

17 Jun 2005

A simplified model of the Martian atmosphere - Part 1: a diagnostic analysis

S. G. Whitehouse1, S. R. Lewis2, I. M. Moroz1, and P. L. Read2 S. G. Whitehouse et al.
  • 1Mathematical Institute, University of Oxford, UK
  • 2Atmospheric, Oceanic & Planetary Physics, Clarendon Laboratory, University of Oxford, UK

Abstract. 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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