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. 603623.

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Official URL: http://www.copernicus.org/EGU/npg/12/5/603.htm
Abstract
In this paper we derive a reducedorder 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 PODGalerkin 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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