{
  "annotation_id": "4559cb09-5ae2-4e73-89a8-1f4f4b515a68",
  "date_created": "2026-03-02T18:00:50.480000Z",
  "date_modified": "2026-03-02T18:00:50.480000Z",
  "file_hash": "f63f3932f2aff6e7a6d76dcd5871a52968a1ec86e6080407982d03dfff2c0a7b",
  "private": false,
  "record": {
    "abstract": "The structure of homogeneous turbulent shear flow is studied using data\ngenerated by Direct Numerical Simulations (DNS) and a linear analysis for both\ncompressible and incompressible cases. At large values of the mean shear rate,\nthe Rapid Distortion Theory (RDT) limit is approached. Analytical solutions are\nfound for the inviscid compressible RDT equations at long times. The RDT\nequations are also solved numerically for both inviscid and viscous cases. The\nRDT solutions, confirmed by the DNS results, show that the even order\ntransverse derivative moments of the dilatational and solenoidal velocity\nfields are anisotropic, with the dilatational motions more anisotropic than\ntheir solenoidal counterparts. The results obtained for the incompressible case\nare similar to those obtained for the solenoidal motions in the compressible\ncase. The DNS results also indicate an increase in the anisotropy of the even\norder transverse derivative moments with the order of the moment, in agreement\nwith the RDT predictions. Although the anisotropy decreases with Reynolds\nnumber, it is likely that for higher even order moments it will persist at\nlarge values of the Reynolds number, in contrast with the postulate of local\nisotropy. The RDT solutions also predict that the normalized odd order\ntransverse derivative moments of the solenoidal velocity for the compressible\ncase and of the velocity for the incompressible case should approach a constant\ndifferent than zero at large times. This prediction is supported by the DNS\ndata. For higher odd order normalized moments, the RDT analysis suggests that\nthe anisotropy may persist at large values of the Reynolds number, in agreement\nwith the existent experimental data.",
    "arxiv_id": "physics/0404108",
    "authors": [
      "Daniel Livescu",
      "Cyrus K. Madnia"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1063/1.1760771",
    "title": "Small scale structure of homogeneous turbulent shear flow",
    "url": "https://arxiv.org/abs/physics/0404108"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f4ee7520-5e27-415d-9c2d-186ee6c05de0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}