Free access article

ESAIM: Proc., 1999, Vol. 7, pp. 24-35
DOI: 10.1051/proc:1999003

A new formulation of the near-equilibrium theory of turbulence

G.I. Barenblatt and Alexandre J.Chorin

Departement of Mathematics University of California Berkeley, CA 94720-3840

Abstract
We present a status report on a discrete approach to the the near-equilibrium statistical theory of three-dimensional turbulence, which generalizes earlier work by no onger requiring that the vorticity field be a union of discrete vortex filaments. The idea is to take a special limit of a dense lattice vortex system, in a way that brings out a connection between turbulence and critical phenomena. The approach produces statistics with basic features of turbulence, in particular intermittency and coherent structures. The numerical calculations have not yet been brought to convergence, and at present the results are only qualitative.

© EDP Sciences, ESAIM 1999

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