{
  "abstract": "A novel semi-implicit second-order finite volume scheme integrating the scalar auxiliary variable (SAV) approach is proposed for solving the pseudo-time Eikonal equation in wall-distance computation. Unconditional energy stability under zero boundary conditions is rigorously proved, eliminating the dependence of the time step on the grid scale and enabling large-time-step computation. The scheme is a priori accuracy-preserving, and its discretization matrix forms an M-matrix, thereby guaranteeing strict non-negativity of the numerical solution inherently. The framework extends readily to any non-conservative scalar equation and, being independent of the specific finite-volume reconstruction, is compatible with schemes of arbitrary order of accuracy. A vanishing artificial viscosity is introduced to smooth the solution without compromising formal accuracy, and upwinding is incorporated through directional weighting in the weighted least-squares (WLS) reconstruction. Numerical experiments confirm that the scheme achieves the designed accuracy and permits stable computations with uniformly large time steps. For complex configurations such as a three-element airfoil and the three-dimensional ONERA M6 wing, accurate results are obtained on high-aspect-ratio grids, with relative errors in the computed wall distance below 3\\% relative to the search-based reference, except near geometric singularities.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16885",
  "author_total": 2,
  "authors": [
    {
      "name": "Xiaorui Xu"
    },
    {
      "name": "Qian Wang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ars7bbwvz3ppk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16885",
  "fulltext_url": null,
  "id": "ars7bbwvz3ppk",
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  "landing_url": "https://arxiv.org/abs/2609.16885",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ],
    [
      "openalex",
      "2206|Computational Fluid Dynamics and Aerodynamics"
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  "openalex": "W7213406179",
  "pdf_url": "https://arxiv.org/pdf/2609.16885",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ars7bbwvz3ppk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:41Z",
      "native_id": "2609.16885",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16885"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    }
  ],
  "title": "An energy stable and accuracy-preserving finite volume scheme based on the SAV method with application to wall-distance computation",
  "title_text": "An energy stable and accuracy-preserving finite volume scheme based on the SAV method with application to wall-distance computation",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/ars7bbwvz3ppk",
  "venue": "arXiv",
  "versions": []
}