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Open Access Statistical mechanics for conservative discretizations of two-dimensional incompressible flow

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Abstract:

In this article two conceptually different approaches to incompressible two-dimensional fluid mechanics are discussed and compared. The first is the statistical description of the equilibrium potential vorticity field satisfying conservation constraints for energy and the generalized potential enstrophies. The second one is the numerical description of the barotropic quasigeostrophic potential vorticity equation taking into account the same conservation laws. Both approaches continue previous works in these fields. By analyzing the statistical properties of the numerical output it is possible to validate the assumptions of the statistical theories. This is not only a proposal for the use of general conservative discretization schemes but also for the consideration of principles from statistical mechanics in numerical analysis. Specially when thinking about long-term simulation of the atmosphere in climate research, statistical properties of a numerical discretization scheme may have a strong impact on the results.

Document Type: Research Article

DOI: https://doi.org/10.1127/0941-2948/2012/0384

Publication date: 2012-08-01

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  • Meteorologische Zeitschrift (originally founded in 1866) is the joint periodical of the meteorological societies of Austria, Germany and Switzerland. It accepts high-quality peer-reviewed manuscripts on all aspects of observational, theoretical and computational research out of the entire field of meteorology, including climatology. Meteorologische Zeitschrift represents a natural forum for the meteorological community of Central Europe and worldwide.
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