dorsal/arxiv
View SchemaFinite-Difference Investigation of Axisymmetric Inviscid Separated Flows with Infinitely-Long Cusp-Ended Stagnation Zone. Flow around a Sphere
| Authors | M. D. Todorov |
|---|---|
| Categories | |
| ArXiv ID | physics/9810024 |
| URL | https://arxiv.org/abs/physics/9810024 |
| Journal | Applications of Mathematics in Engineering'24, Heron Press, Sofia, 1999, 196-201 |
Abstract
The classical Helmholtz problem is applied for modelling the axisymmetric inviscid cusp-ended separated flow around a sphere. Two coordinate systems are employed: polar for initial calculations and parabolic the latter being more suitable for investigation of infinitely-long stagnation zones. Scaled coordinates are introduced and difference schemes for the free-stream equation and the Bernoulli integral are devised. The separation point is not initially prescribed and is defined iteratively. A separated flow with vanishing drag coefficient is obtained.
{
"annotation_id": "a97c1c6b-0e69-4755-ab59-f382a614d0fc",
"date_created": "2026-03-02T18:01:21.781000Z",
"date_modified": "2026-03-02T18:01:21.781000Z",
"file_hash": "7032094a3132b3e2fc09927d196a790ee76a6347619058eca1416abe58ff6d26",
"private": false,
"record": {
"abstract": "The classical Helmholtz problem is applied for modelling the axisymmetric\ninviscid cusp-ended separated flow around a sphere. Two coordinate systems are\nemployed: polar for initial calculations and parabolic the latter being more\nsuitable for investigation of infinitely-long stagnation zones. Scaled\ncoordinates are introduced and difference schemes for the free-stream equation\nand the Bernoulli integral are devised. The separation point is not initially\nprescribed and is defined iteratively. A separated flow with vanishing drag\ncoefficient is obtained.",
"arxiv_id": "physics/9810024",
"authors": [
"M. D. Todorov"
],
"categories": [
"physics.flu-dyn",
"physics.comp-ph"
],
"journal_ref": "Applications of Mathematics in Engineering\u002724, Heron Press, Sofia,\n 1999, 196-201",
"title": "Finite-Difference Investigation of Axisymmetric Inviscid Separated Flows with Infinitely-Long Cusp-Ended Stagnation Zone. Flow around a Sphere",
"url": "https://arxiv.org/abs/physics/9810024"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bcd84eda-2002-4272-8395-293e6e849be1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}