{
  "id": "0704.0787",
  "version": "v1",
  "published": "2007-04-05T19:47:06.000Z",
  "updated": "2007-04-05T19:47:06.000Z",
  "title": "Convergence of a finite volume scheme for the incompressible fluids",
  "authors": [
    "Sebastien Zimmermann"
  ],
  "comment": "preprint; 19 pages; no figures",
  "categories": [
    "math.NA"
  ],
  "abstract": "We consider a finite volume scheme for the two-dimensional incompressible Navier-Stokes equations. We use a triangular mesh. The unknowns for the velocity and pressure are respectively piecewise constant and affine. We use a projection method to deal with the incompressibility constraint. In a former paper, the stability of the scheme has been proven. We infer from it its convergence.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-04-05T19:47:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76M12",
      "76B99"
    ],
    "keywords": [
      "finite volume scheme",
      "incompressible fluids",
      "convergence",
      "two-dimensional incompressible navier-stokes equations",
      "triangular mesh"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0704.0787Z"
    }
  }
}