{
  "annotation_id": "b732cf96-4f86-4648-8f1b-c22c77a59849",
  "date_created": "2026-03-02T18:00:53.296000Z",
  "date_modified": "2026-03-02T18:00:53.296000Z",
  "file_hash": "4b6802d7d19f204d47f0a922d4ac0b331ae60880157de57f7263134b4cad61c3",
  "private": false,
  "record": {
    "abstract": "Balsara (2001) showed the importance of divergence-free reconstruction in\nadaptive mesh refinement problems for magnetohydrodynamics (MHD) and the\nimportance of the same for designing robust second order schemes for MHD was\nshown in Balsara (2004). In this paper we show that the reconstruction of\ndivergence-free vector fields can be carried out with better than second order\naccuracy. As a result, we design divergence-free RKDG and hybrid RKDG+HWENO\nschemes for MHD that have accuracies that are better than second order.\nAccuracy analysis is carried out and it is shown that the schemes meet their\ndesign accuracy for smooth problems. Stringent one-dimensional tests are also\npresented showing that the schemes perform well on those tests.",
    "arxiv_id": "physics/0411159",
    "authors": [
      "D. S. Balsara"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "title": "rkdg and Hybrid rkdg+hweno Schemes for Divergence-Free   Magnetohydrodynamics Part I",
    "url": "https://arxiv.org/abs/physics/0411159"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cc6c0847-a556-4e61-bb10-69fe9e7dcedc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}