{
  "abstract": "Fine-grained, subcell-level dissipation control is essential for achieving robust high-order discontinuous Galerkin (DG) simulations of nonlinear hyperbolic systems in under-resolved regimes while preserving accuracy. This paper proposes a subcell-refined entropy-residual-driven limiting strategy for DG on Legendre-Gauss-Lobatto nodes. The limiter introduces only nearest-neighbor pairwise dissipation within each element, with closed-form coefficients that supply the minimal dissipation required to restore the element entropy inequality. The strategy is a diagonal, locally stable approximation of classical entropy-stable methods, and a generalized subcell framework reveals split-form DG and residual-distribution-based entropy correction schemes as particular choices of the limiting coefficients. For the Euler equations, a physically consistent jump operator separately models thermal and shear entropy production while preserving velocity and pressure equilibrium; a subcell refinement of the Zhang-Shu positivity limiter ensures pointwise positivity. Extensive numerical tests confirm that the scheme maintains optimal high-order accuracy, strictly enforces entropy dissipation, and significantly reduces the difficulty of a posteriori positivity-preserving procedures.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24268",
  "author_total": 6,
  "authors": [
    {
      "name": "Geng Liang"
    },
    {
      "name": "Rui Wang"
    },
    {
      "name": "Junjie Wang"
    },
    {
      "name": "Feng Wang"
    },
    {
      "name": "Xinlong Feng"
    },
    {
      "name": "Hui Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/21tnr7jbcf63j.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24268",
  "fulltext_url": null,
  "id": "21tnr7jbcf63j",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.24268",
  "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",
      "physics.comp-ph"
    ],
    [
      "openalex",
      "2206|Computational Fluid Dynamics and Aerodynamics"
    ]
  ],
  "openalex": "W7214039739",
  "pdf_url": "https://arxiv.org/pdf/2609.24268",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/21tnr7jbcf63j.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.24268",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24268"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    }
  ],
  "title": "A subcell-refined entropy-residual-driven limiting strategy for high-order discontinuous Galerkin methods",
  "title_text": "A subcell-refined entropy-residual-driven limiting strategy for high-order discontinuous Galerkin methods",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:19Z",
  "url": "https://research.draconitic.com/paper/21tnr7jbcf63j",
  "venue": "arXiv",
  "versions": []
}