{
  "id": "cond-mat/0310618",
  "version": "v2",
  "published": "2003-10-27T08:52:40.000Z",
  "updated": "2004-02-06T15:25:34.000Z",
  "title": "Kinetic Theory of Turbulence Modeling: Smallness Parameter, Scaling and Microscopic Derivation of Smagorinsky Model",
  "authors": [
    "Santosh Ansumali",
    "Iliya V. Karlin",
    "Sauro Succi"
  ],
  "comment": "18 pages, Minor corrections, Accepted in Physica A",
  "journal": "Physica A, Vol. 338, pp. 379-394 (2004)",
  "doi": "10.1016/j.physa.2004.02.013",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP",
    "nlin.CD",
    "physics.flu-dyn"
  ],
  "abstract": "A mean-field approach (filtering out subgrid scales) is applied to the Boltzmann equation in order to derive a subgrid turbulence model based on kinetic theory. It is demonstrated that the only Smagorinsky type model which survives in the hydrodynamic limit on the viscosity time scale is the so-called tensor-diffusivity model. Scaling of the filter-width with Reynolds number and Knudsen number is established. This sets the first rigorous step in deriving turbulence models from kinetic theory.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-02-06T15:25:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kinetic theory",
      "microscopic derivation",
      "smallness parameter",
      "smagorinsky model",
      "viscosity time scale"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}