title: Statistical Equilibria of Large Scales in Dissipative Hydrodynamic Turbulence.
abstract: We present a numerical study of the statistical properties of three-dimensional dissipative turbulent flows at scales larger than the forcing scale. Our results indicate that the large scale flow can be described to a large degree by the truncated Euler equations with the predictions of the zero flux solutions given by absolute equilibrium theory, both for helical and nonhelical flows. Thus, the functional shape of the large scale spectra can be predicted provided that scales sufficiently larger than the forcing length scale but also sufficiently smaller than the box size are examined. Deviations from the predictions of absolute equilibrium are discussed.
authors.affiliation: Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom.|Laboratoire de Physique Statistique, École Normale Supérieure, CNRS, Université Pierre et Marie Curie, Université Paris Diderot, 24 rue Lhomond, 75005 Paris, France.
authors.forename: V
authors.initials: V
authors.lastname: Dallas
authors.affiliation: Laboratoire de Physique Statistique, École Normale Supérieure, CNRS, Université Pierre et Marie Curie, Université Paris Diderot, 24 rue Lhomond, 75005 Paris, France.
authors.forename: S
authors.initials: S
authors.lastname: Fauve
authors.affiliation: Laboratoire de Physique Statistique, École Normale Supérieure, CNRS, Université Pierre et Marie Curie, Université Paris Diderot, 24 rue Lhomond, 75005 Paris, France.
authors.forename: A
authors.initials: A
authors.lastname: Alexakis