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

2006-01-12

arxiv.org/abs/physics/0601087v1

Physics

Fluid Dynamics

In Proceedings of the Workshop on ``Interdisciplinary Aspects of Turbulence'' at Ringberg Castle, Tegernsee, Germany (Max-Plan

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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