Statistical mechanics of 2D turbulence with a prior vorticity distribution
Fluid Dynamics
2007-05-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.physics/0601087,
title = {Statistical mechanics of 2D turbulence with a prior vorticity distribution},
author = {P. H. Chavanis},
journal= {arXiv preprint arXiv:physics/0601087},
year = {2007}
}
Comments
In Proceedings of the Workshop on ``Interdisciplinary Aspects of Turbulence'' at Ringberg Castle, Tegernsee, Germany (Max-Planck Institut fur Astrophysik, 2005)