{
  "id": "1905.03786",
  "version": "v1",
  "published": "2019-05-09T18:00:00.000Z",
  "updated": "2019-05-09T18:00:00.000Z",
  "title": "Towards an Understanding of the Resolution Dependence of Core-Collapse Supernova Simulations",
  "authors": [
    "Hiroki Nagakura",
    "Adam Burrows",
    "David Radice",
    "David Vartanyan"
  ],
  "comment": "Submitted to MNRAS",
  "categories": [
    "astro-ph.HE",
    "astro-ph.SR"
  ],
  "abstract": "Using our new state-of-the-art core-collapse supernova (CCSN) code Fornax, we explore the dependence upon spatial resolution of the outcome and character of three-dimensional (3D) supernova simulations. For the same 19-M$_{\\odot}$ progenitor star, energy and radial binning, neutrino microphysics, and nuclear equation of state, changing only the number of angular bins in the $\\theta$ and $\\phi$ directions, we witness that our lowest resolution 3D simulation does not explode. However, when jumping progressively up in resolution by factors of two in each angular direction on our spherical-polar grid, models then explode, and explode slightly more vigorously with increasing resolution. This suggests that there can be a qualitative dependence of the outcome of 3D CCSN simulations upon spatial resolution. The critical aspect of higher spatial resolution is the adequate capturing of the physics of neutrino-driven turbulence, in particular its Reynolds stress. The greater numerical viscosity of lower-resolution simulations results in greater drag on the turbulent eddies that embody turbulent stress, and, hence, in a diminution of their vigor. Turbulent stress not only pushes the temporarily stalled shock further out, but bootstraps a concomitant increase in the deposited neutrino power. Both effects together lie at the core of the resolution dependence we observe.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-09T18:00:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "core-collapse supernova simulations",
      "resolution dependence",
      "lowest resolution 3d simulation",
      "state-of-the-art core-collapse supernova",
      "higher spatial resolution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}