{
  "id": "1502.00800",
  "version": "v1",
  "published": "2015-02-03T10:24:33.000Z",
  "updated": "2015-02-03T10:24:33.000Z",
  "title": "On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations",
  "authors": [
    "Yulong Xing",
    "Chi-Wang Shu",
    "Sebastian Noelle"
  ],
  "journal": "Journal on Scientific Computing 48 (2011), 339-349",
  "categories": [
    "math.NA"
  ],
  "abstract": "This note aims at demonstrating the advantage of moving-water well-balanced schemes over still-water well-balanced schemes for the shallow water equations. We concentrate on numerical examples with solutions near a moving-water equilibrium. For such examples, still-water well-balanced methods are not capable of capturing the small perturbations of the moving-water equilibrium and may generate significant spurious oscillations, unless an extremely refined mesh is used. On the other hand, moving- water well-balanced methods perform well in these tests. The numerical examples in this note clearly demonstrate the importance of utilizing moving-water well-balanced methods for solutions near a moving-water equilibrium.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-02-03T10:24:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "shallow water equations",
      "moving-water equilibrium",
      "well-balanced schemes",
      "numerical examples",
      "water well-balanced methods perform"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}