The Mathematical Institute, University of Oxford, Eprints Archive

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

Whitehouse, S. G. and Lewis, S. R. and Moroz, I. M. and Read, P. L. (2005) A simplified model of the Martian atmosphere - Part 1: a diagnostic analysis. Nonlinear Processes Geophysics, 12 . pp. 603-623.


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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.

Item Type:Article
Subjects:D - G > Geophysics
D - G > Fluid mechanics
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:57
Deposited By: Irene Moroz
Deposited On:20 Sep 2005
Last Modified:29 May 2015 18:15

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