{
  "annotation_id": "eddf1bec-28a4-4e07-85c7-3a3cd7219255",
  "date_created": "2026-02-17T05:53:20.120000Z",
  "date_modified": "2026-02-17T05:53:20.120000Z",
  "file_hash": "59bec75c4fd261357054595fb98a566d28c7d1879330d785c4ead266c2d63514",
  "private": false,
  "record": {
    "abstract": "In this work we consider entropy stable discontinuous Galerkin methods applied to nonconservative hyperbolic systems. We introduce a new class of entropy conservative fluctuations that allow us to construct entropy conservative schemes without any system-specific derivations. We demonstrate that a loss of entropy symmetrization for nonconservative systems restricts the design of entropy stable fluctuations and propose a novel blending procedure to construct entropy stable dissipation terms from general numerical viscosity matrices. The resulting methodology is applied to develop a high-order, entropy stable, and well-balanced approximation for the Saint-Venant-Exner system. Numerical tests are presented to verify the theoretical findings and demonstrate the performance and robustness of the proposed scheme.",
    "arxiv_id": "2601.09450",
    "authors": [
      "Patrick Ersing",
      "Andrew R. Winters"
    ],
    "categories": [
      "math.NA",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "A new class of entropy stable fluctuations for the discontinuous Galerkin method with application to the Saint-Venant-Exner model",
    "url": "https://arxiv.org/abs/2601.09450",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "28fc5738-b55d-4ac5-bbc6-e31708fca328",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}