{
  "abstract": "Low-order Carleman embeddings replace nonlinear dynamics by a larger linear system, but truncation errors can accumulate even when the underlying nonlinear model is accurately approximated by a quadratic equation. We construct a residual Carleman lift (RC2) of lattice Boltzmann dynamics in which an independently evolved spectral background supplies the coefficients and forcing of a second-order residual lift. In a double-shear-layer test, conventional fixed-rest Carleman reaches $87.3\\%$ final error, whereas prepared RC2 achieves $0.136\\%$ through vortex roll-up, without restarting the lift or using fine-reference feedback. The results demonstrate control of the finite-time accuracy of a fixed-order linear embedding through nonlinear preparation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24041",
  "author_total": 1,
  "authors": [
    {
      "name": "Ilya Karlin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5dz4xgej6ea9d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24041",
  "fulltext_url": null,
  "id": "5dz4xgej6ea9d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24041",
  "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",
      "physics.comp-ph"
    ],
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "openalex",
      "2206|Lattice Boltzmann Simulation Studies"
    ]
  ],
  "openalex": "W7223070363",
  "pdf_url": "https://arxiv.org/pdf/2610.24041",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5dz4xgej6ea9d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.24041",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24041"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:physics.comp-ph",
      "subfield": "computational"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Residual Carleman lift for nonlinear lattice Boltzmann simulations",
  "title_text": "Residual Carleman lift for nonlinear lattice Boltzmann simulations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/5dz4xgej6ea9d",
  "venue": "arXiv",
  "versions": []
}