dorsal/arxiv
View SchemaTransient growth in Taylor-Couette flow
| Authors | Hristina Hristova, Sebastien Roch, Peter J. Schmid, Laurette S. Tuckerman |
|---|---|
| Categories | |
| ArXiv ID | physics/0210009 |
| URL | https://arxiv.org/abs/physics/0210009 |
| DOI | 10.1063/1.1502658 |
| Journal | Physics of Fluids 14, 3475-3484 (2002) |
Abstract
Transient growth due to non-normality is investigated for the Taylor-Couette problem with counter-rotating cylinders as a function of aspect ratio eta and Reynolds number Re. For all Re < 500, transient growth is enhanced by curvature, i.e. is greater for eta < 1 than for eta = 1, the plane Couette limit. For fixed Re < 130 it is found that the greatest transient growth is achieved for eta between the Taylor-Couette linear stability boundary, if it exists, and one, while for Re > 130 the greatest transient growth is achieved for eta on the linear stability boundary. Transient growth is shown to be approximately 20% higher near the linear stability boundary at Re = 310, eta = 0.986 than at Re = 310, eta = 1, near the threshold observed for transition in plane Couette flow. The energy in the optimal inputs is primarily meridional; that in the optimal outputs is primarily azimuthal. Pseudospectra are calculated for two contrasting cases. For large curvature, eta = 0.5, the pseudospectra adhere more closely to the spectrum than in a narrow gap case, eta = 0.99.
{
"annotation_id": "6eea89fb-0c51-44b5-9a5c-ce01e1dc2999",
"date_created": "2026-03-02T18:00:39.554000Z",
"date_modified": "2026-03-02T18:00:39.554000Z",
"file_hash": "f57a4d63f1b812308759911cb348fd7b17ffad77d99f7c056c7d25e0b814e978",
"private": false,
"record": {
"abstract": "Transient growth due to non-normality is investigated for the Taylor-Couette\nproblem with counter-rotating cylinders as a function of aspect ratio eta and\nReynolds number Re. For all Re \u003c 500, transient growth is enhanced by\ncurvature, i.e. is greater for eta \u003c 1 than for eta = 1, the plane Couette\nlimit. For fixed Re \u003c 130 it is found that the greatest transient growth is\nachieved for eta between the Taylor-Couette linear stability boundary, if it\nexists, and one, while for Re \u003e 130 the greatest transient growth is achieved\nfor eta on the linear stability boundary. Transient growth is shown to be\napproximately 20% higher near the linear stability boundary at Re = 310, eta =\n0.986 than at Re = 310, eta = 1, near the threshold observed for transition in\nplane Couette flow. The energy in the optimal inputs is primarily meridional;\nthat in the optimal outputs is primarily azimuthal. Pseudospectra are\ncalculated for two contrasting cases. For large curvature, eta = 0.5, the\npseudospectra adhere more closely to the spectrum than in a narrow gap case,\neta = 0.99.",
"arxiv_id": "physics/0210009",
"authors": [
"Hristina Hristova",
"Sebastien Roch",
"Peter J. Schmid",
"Laurette S. Tuckerman"
],
"categories": [
"physics.flu-dyn"
],
"doi": "10.1063/1.1502658",
"journal_ref": "Physics of Fluids 14, 3475-3484 (2002)",
"title": "Transient growth in Taylor-Couette flow",
"url": "https://arxiv.org/abs/physics/0210009"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f1d760cd-6b3d-4dff-a1b2-7404f2394cf5",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}