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International Conference on Complex Systems (ICCS2006)

Reduced-order models for the Martian atmosphere

Irene Moroz
Mathematical Institute, Oxford University

Oscar Martinez-Alvarado
Mathematical Institute, Oxford University

Peter Read
Atmospheric and Oceanic Physics, Oxford University

     Full text: Not available
     Last modified: March 31, 2006

Abstract
We present recent progress on the construction of reduced-order models of the Martian atmosphere using the Proper Orthogonal Decomposition (POD) and Galerkin expansions. The data set used is an assimilation of the Mars Global Surveyor/Thermal Emission Spectrometer data into the Oxford Mars General Circulation Model, and focuses on a Northern Hemisphere winter period of 90 sols. While previous work relied on the assumptions of quasi-geostrophy, the current work requires the use of the primitive equations. We report on a diagnostic analysis to calculate fully three-dimensional vector POD modes using an energy norm. The resulting modes are classified according to structure, thereby identifying the most dominant modes as diurnal and semi-diurnal tides as well as baroclinic travelling waves. The projection of the primitive equations
onto the span of these modes produces hierarchies of coupled nonlinear ordinary differential equations for the time-dependent amplitudes of the POD modes, which can then be studied using methods from dynamical systems theory.




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