{
  "id": "1005.1586",
  "version": "v1",
  "published": "2010-05-10T15:23:30.000Z",
  "updated": "2010-05-10T15:23:30.000Z",
  "title": "A splitting approach for the fully nonlinear and weakly dispersive Green-Naghdi model",
  "authors": [
    "Philippe Bonneton",
    "Florent Chazel",
    "David Lannes",
    "Fabien Marche",
    "Marion Tissier"
  ],
  "journal": "J.Comput.Phys.230:1479-1498,2011",
  "doi": "10.1016/j.jcp.2010.11.015",
  "categories": [
    "math.NA",
    "physics.ao-ph"
  ],
  "abstract": "The fully nonlinear and weakly dispersive Green-Naghdi model for shallow water waves of large amplitude is studied. The original model is first recast under a new formulation more suitable for numerical resolution. An hybrid finite volume and finite difference splitting approach is then proposed. The hyperbolic part of the equations is handled with a high-order finite volume scheme allowing for breaking waves and dry areas. The dispersive part is treated with a classical finite difference approach. Extensive numerical validations are then performed in one horizontal dimension, relying both on analytical solutions and experimental data. The results show that our approach gives a good account of all the processes of wave transformation in coastal areas: shoaling, wave breaking and run-up.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-10T15:23:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weakly dispersive green-naghdi model",
      "fully nonlinear",
      "high-order finite volume scheme",
      "classical finite difference approach",
      "hybrid finite volume"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Journal of Computational Physics",
      "year": 2011,
      "month": "Feb",
      "volume": 230,
      "number": 4,
      "pages": 1479
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 854891,
      "adsabs": "2011JCoPh.230.1479B"
    }
  }
}