{
  "id": "1509.04489",
  "version": "v1",
  "published": "2015-09-15T10:47:03.000Z",
  "updated": "2015-09-15T10:47:03.000Z",
  "title": "A new LES model derived from generalized Navier-Stokes equations with nonlinear viscosity",
  "authors": [
    "José M. Rodríguez",
    "Raquel Taboada-Vázquez"
  ],
  "categories": [
    "math.AP",
    "physics.flu-dyn"
  ],
  "abstract": "Large Eddy Simulation (LES) is a very useful tool when simulating turbulent flows if we are only interested in its \"larger\" scales. One of the possible ways to derive the LES equations is to apply a filter operator to the Navier-Stokes equations, obtaining a new equation governing the behavior of the filtered velocity. This approach introduces in the equations the so called subgrid-scale tensor, that must be expressed in terms of the filtered velocity to close the problem. One of the most popular models is that proposed by Smagorinsky, where the subgrid-scale tensor is modeled by introducing an eddy viscosity. In this work, we shall propose a new approximation to this problem by applying the filter, not to the Navier-Stokes equations, but to a generalized version of them with nonlinear viscosity. That is, we shall introduce a nonlinear viscosity, not as a procedure to close the subgrid-scale tensor, but as part of the model itself (see below). Consequently, we shall need a different method to close the subgrid-scale tensor, and we shall use the Clark approximation, where the Taylor expansion of the subgrid-scale tensor is computed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-15T10:47:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35"
    ],
    "keywords": [
      "nonlinear viscosity",
      "generalized navier-stokes equations",
      "subgrid-scale tensor",
      "large eddy simulation",
      "filtered velocity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}