{
  "id": "1108.6210",
  "version": "v2",
  "published": "2011-08-31T12:45:06.000Z",
  "updated": "2012-01-10T20:18:09.000Z",
  "title": "A well-balanced finite volume scheme for 1D hemodynamic simulations",
  "authors": [
    "Olivier Delestre",
    "Pierre-Yves Lagrée"
  ],
  "comment": "6 pages. R\\'esum\\'e en fran\\c{c}ais : Nous nous int\\'eressons \\`a la simulation d'\\'ecoulements sanguins dans des art\\`eres dont les parois sont \\`a \\'elasticit\\'e variable. Ceci est mod\\'elis\\'e \\`a l'aide d'un mod\\`ele unidimensionnel. Nous pr\\'esentons un sch\\'ema \"volume fini \\'equilibr\\'e\" bas\\'e sur les d\\'eveloppements r\\'ecents effectu\\'es pour la r\\'esolution du syst\\`eme de Saint-Venant. Ainsi, nous obtenons un sch\\'ema qui pr\\'eserve le volume de fluide ainsi que les \\'equilibres au repos: Q=0. Le sch\\'ema introduit est test\\'e sur des solutions analytiques",
  "doi": "10.1051/proc/201235018",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We are interested in simulating blood flow in arteries with variable elasticity with a one dimensional model. We present a well-balanced finite volume scheme based on the recent developments in shallow water equations context. We thus get a mass conservative scheme which also preserves equilibria of Q=0. This numerical method is tested on analytical tests.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-01-10T20:18:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "well-balanced finite volume scheme",
      "1d hemodynamic simulations",
      "shallow water equations context",
      "dimensional model",
      "simulating blood flow"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.6210D"
    }
  }
}