{
  "abstract": "Developing interpretable full-profile relations for mean velocity and effective mixing length remains challenging because the near-wall, overlap, and outer regions exhibit distinct scaling behaviors. In this paper, physics-constrained symbolic regression is used to construct analytical relations for incompressible zero-pressure-gradient turbulent boundary layers. Classical logarithmic and Prandtl mixing-length scalings provide the starting points, while the regression identifies near-wall transition functions under asymptotic constraints and Reynolds-number-dependent outer corrections. The resulting expressions retain the prescribed leading-order near-wall exponents, reproduce the principal overlap-region behavior, and describe finite-Reynolds-number variations. The mean-velocity relation agrees well with 35 profiles from direct numerical simulations, large-eddy simulations, and experiments spanning friction Reynolds numbers from 252 to 72,526, while the mixing-length relation captures the principal trends in the simulation-derived data. These results illustrate how physical scaling knowledge can guide symbolic regression toward compact, interpretable analytical descriptions of canonical wall turbulence.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35276",
  "author_total": 2,
  "authors": [
    {
      "name": "Xianglin Shan"
    },
    {
      "name": "Weiwei Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0pbe5vx84m12p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35276",
  "fulltext_url": null,
  "id": "0pbe5vx84m12p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35276",
  "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.flu-dyn"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.35276",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0pbe5vx84m12p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.35276",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35276"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Physics-Constrained Symbolic Regression for Mean-Velocity and Mixing-Length Scaling in Zero-Pressure-Gradient Turbulent Boundary Layers",
  "title_text": "Physics-Constrained Symbolic Regression for Mean-Velocity and Mixing-Length Scaling in Zero-Pressure-Gradient Turbulent Boundary Layers",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:35Z",
  "url": "https://research.draconitic.com/paper/0pbe5vx84m12p",
  "venue": "arXiv",
  "versions": []
}