Statistical mechanics of 2D turbulence with a prior vorticity distribution
Abstract
Description
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.
In Proceedings of the Workshop on ``Interdisciplinary Aspects of Turbulence'' at Ringberg Castle, Tegernsee, Germany (Max-Planck Institut fur Astrophysik, 2005)
In Proceedings of the Workshop on ``Interdisciplinary Aspects of Turbulence'' at Ringberg Castle, Tegernsee, Germany (Max-Planck Institut fur Astrophysik, 2005)