{
  "id": "1302.1812",
  "version": "v2",
  "published": "2013-02-07T17:48:35.000Z",
  "updated": "2013-05-23T06:40:37.000Z",
  "title": "Efficient computation of steady solitary gravity waves",
  "authors": [
    "Denys Dutykh",
    "Didier Clamond"
  ],
  "comment": "21 pages, 12 figures, 66 references. Other authors papers can be downloaded at http://www.denys-dutykh.com/",
  "categories": [
    "physics.flu-dyn",
    "nlin.SI",
    "physics.ao-ph",
    "physics.class-ph"
  ],
  "abstract": "An efficient numerical method to compute solitary wave solutions to the free surface Euler equations is reported. It is based on the conformal mapping technique combined with an efficient Fourier pseudo-spectral method. The resulting nonlinear equation is solved via the Petviashvili iterative scheme. The computational results are compared to some existing approaches, such as the Tanaka method and Fenton's high-order asymptotic expansion. Several important integral quantities are numerically computed for a large range of amplitudes. The integral representation of the velocity and acceleration fields in the bulk of the fluid is also provided.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-23T06:40:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "steady solitary gravity waves",
      "efficient computation",
      "free surface euler equations",
      "efficient fourier pseudo-spectral method",
      "fentons high-order asymptotic expansion"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.1812D"
    }
  }
}