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A Closer Look at Chaotic Advection in the Stratosphere. Part II: Statistical Diagnostics

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  • 1 Department of Physics, University of Toronto, Toronto, Ontario, Canada
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Abstract

Statistical diagnostics of mixing and transport are computed for a numerical model of forced shallow-water flow on the sphere and a middle-atmosphere general circulation model. In particular, particle dispersion statistics, transport fluxes, Liapunov exponents (probability density functions and ensemble averages), and tracer concentration statistics are considered. It is shown that the behavior of the diagnostics is in accord with that of kinematic chaotic advection models so long as stochasticity is sufficiently weak. Comparisons with random-strain theory are made.

* Current affiliation: Department of the Geophysical Sciences, University of Chicago, Chicago, Illinois.

Corresponding author address: Dr. Keith Ngan, Department of Geophysical Sciences, University of Chicago, 5734 S. Ellis Avenue, Chicago, IL 60637.

Email: kngan@midway.chicago.edu

Abstract

Statistical diagnostics of mixing and transport are computed for a numerical model of forced shallow-water flow on the sphere and a middle-atmosphere general circulation model. In particular, particle dispersion statistics, transport fluxes, Liapunov exponents (probability density functions and ensemble averages), and tracer concentration statistics are considered. It is shown that the behavior of the diagnostics is in accord with that of kinematic chaotic advection models so long as stochasticity is sufficiently weak. Comparisons with random-strain theory are made.

* Current affiliation: Department of the Geophysical Sciences, University of Chicago, Chicago, Illinois.

Corresponding author address: Dr. Keith Ngan, Department of Geophysical Sciences, University of Chicago, 5734 S. Ellis Avenue, Chicago, IL 60637.

Email: kngan@midway.chicago.edu

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