{
  "id": "1906.11001",
  "version": "v1",
  "published": "2019-06-26T11:54:44.000Z",
  "updated": "2019-06-26T11:54:44.000Z",
  "title": "A decoupled staggered scheme for the shallow water equations",
  "authors": [
    "Raphaèle Herbin",
    "Jean-Claude Latché",
    "Youssouf Nasseri",
    "Nicolas Therme"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We present a first order scheme based on a staggered grid for the shallow water equations with topography in two space dimensions, which enjoys several properties: positivity of the water height, preservation of constant states, and weak consistency with the equations of the problem and with the associated entropy inequality.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-26T11:54:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "shallow water equations",
      "decoupled staggered scheme",
      "first order scheme",
      "space dimensions",
      "water height"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}