{
  "abstract": "A three-dimensional curvilinear lattice-Boltzmann method is introduced for simulations on smoothly deformed grids while retaining exact one-to-one streaming on a uniform computational lattice. The coordinate transformation is represented locally through a metric-Gaussian equilibrium and a Christoffel-connection source in moment space. A dynamically reconstructed homogeneous-state perturbation streaming procedure preserves homogeneous physical states on warped meshes without interpolation in the advection step. The method is implemented on a D3Q27 lattice with a cumulant collision operator, while the geometric construction remains compatible with other local collision models. The formulation is assessed using two sets of tests. First, static non-orthogonal warped-cube cases validate the bulk curvilinear solver through a convected helical shear wave, the Taylor--Green vortex, and Arnold--Beltrami--Childress flow. These tests verify viscous decay, clean freestream preservation, vortex-breakdown dynamics, and the nonlinear inertial--pressure balance induced by geometric acceleration. Second, wall-bounded and moving-boundary demonstrations assess the boundary-compatible extension through warped plane Poiseuille flow, arbitrary Lagrangian--Eulerian (ALE) peristaltic pumping, and a two-way fluid--structure interaction (FSI) case with added-mass frequency shift. The results show that the proposed curvilinear LBM avoids interpolation-based transport, reduces geometry-locked numerical modes, preserves global mass and momentum to round-off accuracy in the tested warped periodic cases, and extends to wall-bounded ALE/FSI configurations with conservative treatment of mass and physically consistent momentum exchange.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36971",
  "author_total": 4,
  "authors": [
    {
      "name": "Maher Sawaf"
    },
    {
      "name": "Jonas Latt"
    },
    {
      "name": "Nikolaus A. Adams"
    },
    {
      "name": "Mostafa S. Shadloo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/51zxnwcyt1kw1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36971",
  "fulltext_url": null,
  "id": "51zxnwcyt1kw1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36971",
  "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.comp-ph"
    ],
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "2206|Lattice Boltzmann Simulation Studies"
    ]
  ],
  "openalex": "W7224125859",
  "pdf_url": "https://arxiv.org/pdf/2610.36971",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/51zxnwcyt1kw1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.36971",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36971"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Local Metrics for Exact Streaming on Curvilinear Lattices: A Curvilinear D3Q27 Cumulant Lattice-Boltzmann Method",
  "title_text": "Local Metrics for Exact Streaming on Curvilinear Lattices: A Curvilinear D3Q27 Cumulant Lattice-Boltzmann Method",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:50Z",
  "url": "https://research.draconitic.com/paper/51zxnwcyt1kw1",
  "venue": "arXiv",
  "versions": []
}