{
  "id": "2403.05673",
  "version": "v1",
  "published": "2024-03-08T21:05:14.000Z",
  "updated": "2024-03-08T21:05:14.000Z",
  "title": "Analysis of Hybrid MC/Deterministic Methods for Transport Problems Based on Low-Order Equations Discretized by Finite Volume Schemes",
  "authors": [
    "Vincent N. Novellion",
    "Dmitriy Y. Anistratov"
  ],
  "comment": "9 pages,4 figures, 4 tables",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "This paper presents hybrid numerical techniques for solving the Boltzmann transport equation formulated by means of low-order equations for angular moments of the angular flux. The moment equations are derived by the projection operator approach. The projected equations are closed exactly using a high-order transport solution. The low-order equations of the hybrid methods are approximated with a finite volume scheme of the second-order accuracy. Functionals defining the closures in the discretized low-order equations are calculated by Monte Carlo techniques. In this study, we analyze effects of statistical noise and discretization error on the accuracy of the hybrid transport solution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-08T21:05:14.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite volume scheme",
      "low-order equations",
      "hybrid mc/deterministic methods",
      "transport problems",
      "high-order transport solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}