{
  "abstract": "We propose a class of high-order fully-discrete entropy stable (ES) explicit discontinuous Galerkin (DG) solvers for the compressible ideal magnetohydrodynamics (MHD) equations. Our main theoretical contribution is the introduction of a novel generalized-path-decomposition framework for MHD equations in Godunov's symmetric form. By innovatively interpreting the interior volume integral of the non-conservative source term as a path integral along a generalized path constructed by the solution polynomial, we establish the weak cell entropy inequality for the fully-discrete DG schemes. This overarching framework also accommodates other existing DG solvers based on the symmetric form. Combined with a carefully designed ES limiter, the proposed scheme satisfies the genuine fully-discrete cell entropy inequality. With this property, a Lax--Wendroff-type theorem can be obtained to show that the solution limit satisfies the entropy condition. Finally, the scheme is naturally compatible with the locally divergence-free space. Extensive numerical experiments demonstrate the scheme's low numerical dissipation and strong robustness.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.07005",
  "author_total": 3,
  "authors": [
    {
      "name": "Yuchang Liu"
    },
    {
      "name": "Yan Jiang"
    },
    {
      "name": "Zheng Sun"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fpy2fecxsc88j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.07005",
  "fulltext_url": null,
  "id": "fpy2fecxsc88j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.07005",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2206|Computational Fluid Dynamics and Aerodynamics"
    ]
  ],
  "openalex": "W7212004668",
  "pdf_url": "https://arxiv.org/pdf/2609.07005",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-07",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fpy2fecxsc88j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.07005",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.07005"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Limiter-based fully-discrete entropy stable explicit DG schemes for ideal MHD equations",
  "title_text": "Limiter-based fully-discrete entropy stable explicit DG schemes for ideal MHD equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/fpy2fecxsc88j",
  "venue": "arXiv",
  "versions": []
}