{
  "abstract": "A time-domain harmonic balance unified gas-kinetic scheme (HB-UGKS) is developed for simulating periodic non-equilibrium flows across all Knudsen regimes. By applying a time-spectral operator, the unsteady periodic problem is reformulated into a block-coupled, quasi-steady system. To preserve the intrinsic multiscale transportcollision flux coupling of the UGKS, a source-separated formulation incorporates the harmonic balance coupling strictly at the cell-residual level. This allows the periodic limit cycle to be resolved directly via pseudo-time marching with local time-stepping, advancing all temporal collocation points simultaneously and completely bypassing physical startup transients. The framework is validated against three complementary benchmarks: two small-amplitude sheardriven oscillatory flows and a thermally driven cavity under finite-amplitude excitation. The scheme accurately captures intricate non-equilibrium kinetic phenomena, including aspectratio anti-resonance scaling, dynamic shear traction, nonlinear waveform distortions, and acoustic streaming. Across all cases, the HB-UGKS preserves the fidelity of standard timeaccurate simulations, while achieving order-of-magnitude speedups in high-frequency regimes where long transient timescales dominate.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.03479",
  "author_total": 4,
  "authors": [
    {
      "name": "Yuze Zhu"
    },
    {
      "name": "Hangkong Wu"
    },
    {
      "name": "Yufeng Wei"
    },
    {
      "name": "Kun Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0nzx4r3c57aw9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.03479",
  "fulltext_url": null,
  "id": "0nzx4r3c57aw9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.03479",
  "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",
      "2604|Gas Dynamics and Kinetic Theory"
    ]
  ],
  "openalex": "W7160441379",
  "pdf_url": "https://arxiv.org/pdf/2605.03479",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0nzx4r3c57aw9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:53Z",
      "native_id": "2605.03479",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.03479"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Harmonic Balance Unified Gas-Kinetic Scheme for Multiscale Periodic Flows",
  "title_text": "Harmonic Balance Unified Gas-Kinetic Scheme for Multiscale Periodic Flows",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:53Z",
  "url": "https://research.draconitic.com/paper/0nzx4r3c57aw9",
  "venue": "arXiv",
  "versions": []
}