{
  "id": "1305.5317",
  "version": "v1",
  "published": "2013-05-23T05:30:03.000Z",
  "updated": "2013-05-23T05:30:03.000Z",
  "title": "Quasi-Gasdynamic Approach for Numerical Solution of Magnetohydrodynamic Equations",
  "authors": [
    "M. V. Popov",
    "T. G. Elizarova",
    "S. D. Ustyugov"
  ],
  "comment": "13 pages, 26 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We introduce an application of the Quasi-Gasdynamic method for a solution of ideal magnetohydrodynamic equations in the modeling of compressible conductive gas flows. A time-averaging procedure is applied for all physical parameters in order to obtain the quasi-gas-dynamic system of equations for magnetohydrodynamics. Evolution of all physical variables is presented in an unsplit divergence form. Divergence-free evolution of the magnetic field is provided by using a constrained transport method based on Stokes theorem. Accuracy and convergence of this method are verified on a large set of standard 1D and 2D test cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-23T05:30:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M06",
      "65M22",
      "76N15",
      "76W05"
    ],
    "keywords": [
      "quasi-gasdynamic approach",
      "numerical solution",
      "2d test cases",
      "ideal magnetohydrodynamic equations",
      "unsplit divergence form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.5317P"
    }
  }
}