{
  "abstract": "We present DeHNSSo-v2, a major update of DeHNSSo-v1 (Westerbeek et al., Comput. Phys. Commun. 302, 2024), the open-source Delft Harmonic Navier-Stokes Solver for nonlinear stability analysis of shear flows. The new release adds a compressible formulation on general two-dimensional body-fitted geometries, automatic grid generation, linear-cost sparse assembly, reusable per-mode factorizations, and Newton pseudo-arclength continuation for high-amplitude nonlinear solutions. The curvilinear formulation preserves the fourth-order accuracy of the discretization on strongly distorted grids, and the compressible solver is confirmed to reproduce DeHNSSo-v1 in the incompressible limit. Validation spans published benchmarks for linear instability of compressible flat-plate boundary layers from $\\mathrm{Ma}=0.5$ to $\\mathrm{Ma}=4.5$, nonlinear oblique-mode breakdown at $\\mathrm{Ma}=1.6$, nonlinear swept-wing crossflow compared with direct numerical simulations, and linear Tollmien-Schlichting wave interaction with a modeled surface-embedded Helmholtz resonator compared with experimentally validated linearized Navier-Stokes simulations. On the nonlinear test cases of DeHNSSo-v1, the computational developments result in a speed-up of approximately one order of magnitude. By broadening the scope and reducing the cost of DeHNSSo-v1, DeHNSSo-v2 provides the boundary-layer-transition and flow-control community with an accessible tool for studying receptivity, nonlinear disturbance evolution, and instability interactions with complex surface geometry and metamaterials across compressibility regimes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.27906",
  "author_total": 3,
  "authors": [
    {
      "name": "Pietro Carlo Boldini"
    },
    {
      "name": "Yifu Chen"
    },
    {
      "name": "Marios Kotsonis"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a7v18w7vyd19s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.27906",
  "fulltext_url": null,
  "id": "a7v18w7vyd19s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.27906",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "physics.comp-ph"
    ],
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "2206|Computational Fluid Dynamics and Aerodynamics"
    ]
  ],
  "openalex": "W7223159190",
  "pdf_url": "https://arxiv.org/pdf/2610.27906",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a7v18w7vyd19s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:04Z",
      "native_id": "2610.27906",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.27906"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "DeHNSSo-v2: A compressible, curvilinear, and efficient extension of the Delft Harmonic Navier-Stokes Solver",
  "title_text": "DeHNSSo-v2: A compressible, curvilinear, and efficient extension of the Delft Harmonic Navier-Stokes Solver",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:08Z",
  "url": "https://research.draconitic.com/paper/a7v18w7vyd19s",
  "venue": "arXiv",
  "versions": []
}