{
  "annotation_id": "4650034e-1245-40ba-9c5c-390dfbe9c0cb",
  "date_created": "2026-03-02T18:01:11.272000Z",
  "date_modified": "2026-03-02T18:01:11.272000Z",
  "file_hash": "ac24c98452a4dd711a65ef54f338782951cbf867386f1e0b845bce7413874176",
  "private": false,
  "record": {
    "abstract": "Viscous fluid dynamical calculations require no-slip boundary conditions.\nNumerical calculations of turbulence, as well as theoretical turbulence closure\ntechniques, often depend upon a spectral decomposition of the flow fields.\nHowever, such calculations have been limited to two-dimensional situations.\nHere we present a method that yields orthogonal decompositions of\nincompressible, three-dimensional flow fields and apply it to periodic\ncylindrical and spherical no-slip boundaries.",
    "arxiv_id": "physics/0608195",
    "authors": [
      "Leaf Turner"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.plasm-ph"
    ],
    "doi": "10.1088/1751-8113/40/4/010",
    "journal_ref": "Journal of Physics A:Mathematical and Theoretical 40 (2007)741-754",
    "title": "Orthogonal, solenoidal, three-dimensional vector fields for no-slip   boundary conditions",
    "url": "https://arxiv.org/abs/physics/0608195"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4a38ba6e-f923-45a5-b298-6fa9bec4b124",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}