{
  "annotation_id": "5455ead9-fb7b-47ff-ae83-937bf924f36d",
  "date_created": "2026-03-02T18:00:57.227000Z",
  "date_modified": "2026-03-02T18:00:57.227000Z",
  "file_hash": "8a7d3cee4773f2bd17761b9c05a7b3b33ddb8c7829ba9c3e41351701019667c7",
  "private": false,
  "record": {
    "abstract": "In this paper we investigate the acceleration of the expansion of premixed\nspherical flames and evolution of the cellular patterns on their surfaces. An\nasymptotic model is used for the simulations and a spectral numerical algorithm\nis employed to study flames over large time intervals. Numerous numerical\nexperiments indicate that for large enough time intervals the acceleration of\ntwo-dimensional expanding flame ceases and the expansion rate stabilizes to a\nvalue significantly exceeding the burning rate. The importance of the effect of\nforcing was also confirmed and the validity of sectorial simulations of closed\nflames was studied in order to justify prospective use of the Fourier spectral\nmodel for the three-dimensional spherical flames.",
    "arxiv_id": "physics/0505102",
    "authors": [
      "V. Karlin",
      "G. Sivashinsky"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.chem-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1080/13647830600593752",
    "title": "The Rate of Expansion of Spherical Flames",
    "url": "https://arxiv.org/abs/physics/0505102"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a34a66a-ee1a-4566-a7e0-c9d0cb4b00eb",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}