{
  "annotation_id": "4521ceed-d25c-4776-9f70-a34841da352f",
  "date_created": "2026-03-02T18:01:20.864000Z",
  "date_modified": "2026-03-02T18:01:20.864000Z",
  "file_hash": "963bb55de9e110dae58ef205ba5da5f68a50d87ea8fc8d872ceecc2992f045d0",
  "private": false,
  "record": {
    "abstract": "The classical Helmholtz problem is applied for modelling and numerical\ninvestigation of inviscid cusp-ended separated flow around circular cylinder.\nTwo coordinate systems are used: polar for initial calculations and parabolic\nas topologically most suited for infinite stagnation zone. Scaling by the shape\nof the unknown free line renders the problem to computational domain with fixed\nboundaries. Difference schemes and algorithm for Laplace equation and for\nBernoulli integral are devised. A separated flow with drag coefficient $C_x=0$\nlike the so called ``critical\u0027\u0027 flow is obtained. The pressure distribution on\nthe surface of cylinder and the detachment point compares quantitatively very\nwell with the predictions of the hodograph method.",
    "arxiv_id": "physics/9806045",
    "authors": [
      "M. D. Todorov"
    ],
    "categories": [
      "physics.flu-dyn",
      "physics.comp-ph"
    ],
    "journal_ref": "\"Applications of Mathematics in Engeneering\" 24, Heron Press,\n  Sofia, Bulgaria, 1999, pp. 188-195",
    "title": "Finite-Difference Implementation of Inviscid Separated Flows with   Infinitely-Long Cusp-Ended Stagnation Zone around Circular Cylinder",
    "url": "https://arxiv.org/abs/physics/9806045"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0e50b5da-db50-4142-9578-61711c99433a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}