{
  "id": "physics/0310135",
  "version": "v2",
  "published": "2003-10-27T18:26:34.000Z",
  "updated": "2004-04-05T23:30:28.000Z",
  "title": "Synthetic Turbulence, Fractal Interpolation and Large-Eddy Simulation",
  "authors": [
    "Sukanta Basu",
    "Efi Foufoula-Georgiou",
    "Fernando Porté-Agel"
  ],
  "doi": "10.1103/PhysRevE.70.026310",
  "categories": [
    "physics.flu-dyn",
    "nlin.CD"
  ],
  "abstract": "Fractal Interpolation has been proposed in the literature as an efficient way to construct closure models for the numerical solution of coarse-grained Navier-Stokes equations. It is based on synthetically generating a scale-invariant subgrid-scale field and analytically evaluating its effects on large resolved scales. In this paper, we propose an extension of previous work by developing a multiaffine fractal interpolation scheme and demonstrate that it preserves not only the fractal dimension but also the higher-order structure functions and the non-Gaussian probability density function of the velocity increments. Extensive a-priori analyses of atmospheric boundary layer measurements further reveal that this Multiaffine closure model has the potential for satisfactory performance in large-eddy simulations. The pertinence of this newly proposed methodology in the case of passive scalars is also discussed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-04-05T23:30:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "large-eddy simulation",
      "synthetic turbulence",
      "atmospheric boundary layer measurements",
      "non-gaussian probability density function",
      "multiaffine fractal interpolation scheme"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}