{
  "id": "1212.4026",
  "version": "v2",
  "published": "2012-12-17T15:36:44.000Z",
  "updated": "2013-10-16T03:20:08.000Z",
  "title": "A Class of Quadrature-Based Moment-Closure Methods with Application to the Vlasov-Poisson-Fokker-Planck System in the High-Field Limit",
  "authors": [
    "Yongtao Cheng",
    "James A. Rossmanith"
  ],
  "comment": "24 pages, 5 figures",
  "categories": [
    "math.NA",
    "physics.plasm-ph"
  ],
  "abstract": "Quadrature-based moment-closure methods are a class of approximations that replace high-dimensional kinetic descriptions with lower-dimensional fluid models. In this work we investigate some of the properties of a sub-class of these methods based on bi-delta, bi-Gaussian, and bi-B-spline representations. We develop a high-order discontinuous Galerkin (DG) scheme to solve the resulting fluid systems. Finally, via this high-order DG scheme and Strang operator splitting to handle the collision term, we simulate the fluid-closure models in the context of the Vlasov-Poisson-Fokker-Planck system in the high-field limit. We demonstrate numerically that the proposed scheme is asymptotic-preserving in the high-field limit.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-16T03:20:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M60",
      "35L65",
      "82B40"
    ],
    "keywords": [
      "quadrature-based moment-closure methods",
      "high-field limit",
      "vlasov-poisson-fokker-planck system",
      "replace high-dimensional kinetic descriptions",
      "application"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.4026C"
    }
  }
}