{
  "id": "1712.03170",
  "version": "v1",
  "published": "2017-12-08T16:59:52.000Z",
  "updated": "2017-12-08T16:59:52.000Z",
  "title": "Large eddy simulations using recursive renormalization-group based eddy viscosity",
  "authors": [
    "Sumit Vashishtha",
    "Anando Chatterjee",
    "Abhishek Kumar",
    "Mahendra K Verma"
  ],
  "comment": "13 pages with 8 figures",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We have used renormalized viscosity derived using `self-consistent' recursive renormalization-group method to perform large eddy simulations (LES) of decaying homogeneous and isotropic turbulence inside a periodic cubical box on coarse grids ($32^3$, $64^3$ and $128^3$) at initial Taylor Reynolds number, $\\mathrm{R_{\\lambda}=315} $. The results from LES were compared against direct numerical simulation (DNS) results ($512^3$ grid) at the same initial $\\mathrm{R_{\\lambda}}$. There is a good agreement between the computed quantities for LES and DNS - temporal evolution of turbulence kinetic energy $\\mathrm{E_{t}}$, kinetic energy spectra $\\mathrm{E_{u}(k)}$, kinetic energy flux $\\mathrm{\\Pi_u(k)}$- and the evolution of large scale structures, visualized using the velocity magnitude and finite-time-Lyapunov-exponent isosurfaces, too remain similar for both classes of the simulations. This establishes the suitability of using recursive renormalization-group based eddy viscosity in performing large eddy simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-08T16:59:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76F65",
      "76F30",
      "76F05"
    ],
    "keywords": [
      "recursive renormalization-group",
      "eddy viscosity",
      "perform large eddy simulations",
      "initial taylor reynolds number",
      "performing large eddy simulations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}