Statistical mechanics of 2D turbulence with a prior vorticity distribution

Details Statistical mechanics of 2D turbulence with a prior vorticity distribution Statistical mechanics of 2D turbulence with a prior vorticity distribution

Aug 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005iat..work...11c&link_type=abstract

"Proceedings of the workshop on "Interdisciplinary Aspects of Turbulence" Ringberg Castle, Tegernsee, Germany, April 18 - 22,200

Astronomy and Astrophysics

Astrophysics

Scientific paper

We adapt the formalism of the statistical theory of 2D turbulence in the case where the Casimir constraints are replaced by the specification of a prior vorticity distribution. A new relaxation equation is obtained for the evolution of the coarse-grained vorticity. It can be used as a thermodynamical parametrization of forced 2D turbulence (determined by the prior), or as a numerical algorithm to construct arbitrary nonlinearly dynamically stable stationary solutions of the 2D Euler equation.

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