{ "id": "1503.01852", "version": "v1", "published": "2015-03-06T05:41:38.000Z", "updated": "2015-03-06T05:41:38.000Z", "title": "Log-stable law of energy dissipation as a framework of turbulence intermittency", "authors": [ "H. Mouri" ], "comment": "8 pages, to appear in Physical Review E", "categories": [ "physics.flu-dyn", "physics.data-an" ], "abstract": "To describe the small-scale intermittency of turbulence, a self-similarity is assumed for the probability density function of a logarithm of the rate of energy dissipation smoothed over a length scale among those in the inertial range. The result is an extension of Kolmogorov's classical theory in 1941, i.e., a one-parameter framework where the logarithm obeys some stable distribution. Scaling laws are obtained for the dissipation rate and for the two-point velocity difference. They are consistent with theoretical constraints and with the observed scaling laws. Also discussed is the physics that determines the value of the parameter.", "revisions": [ { "version": "v1", "updated": "2015-03-06T05:41:38.000Z" } ], "analyses": { "keywords": [ "energy dissipation", "turbulence intermittency", "log-stable law", "two-point velocity difference", "probability density function" ], "note": { "typesetting": "TeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable" } } }