{
  "id": "1705.00931",
  "version": "v1",
  "published": "2017-05-02T12:08:03.000Z",
  "updated": "2017-05-02T12:08:03.000Z",
  "title": "Finite Volume approximations of the Euler system with variable congestion",
  "authors": [
    "Pierre Degond",
    "Piotr Minakowski",
    "Laurent Navoret",
    "Ewelina Zatorska"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "We are interested in the numerical simulations of the Euler system with variable congestion encoded by a singular pressure. This model describes for instance the macroscopic motion of a crowd with individual congestion preferences. We propose an asymptotic preserving (AP) scheme based on a conservative formulation of the system in terms of density, momentum and density fraction. A second order accuracy version of the scheme is also presented. We validate the scheme on one-dimensional test-cases and extended here to higher order accuracy. We finally carry out two dimensional numerical simulations and show that the model exhibit typical crowd dynamics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-02T12:08:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite volume approximations",
      "euler system",
      "variable congestion",
      "second order accuracy version",
      "higher order accuracy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}