{
  "id": "1304.0995",
  "version": "v1",
  "published": "2013-04-03T15:58:39.000Z",
  "updated": "2013-04-03T15:58:39.000Z",
  "title": "Computational study of subcritical response in flow past a circular cylinder",
  "authors": [
    "Christopher D. Cantwell",
    "Dwight Barkley"
  ],
  "comment": "14 pages, 16 figures",
  "journal": "Phys. Rev. E 82, 026315 (2010)",
  "doi": "10.1103/PhysRevE.82.026315",
  "categories": [
    "physics.flu-dyn",
    "nlin.PS"
  ],
  "abstract": "Flow past a circular cylinder is investigated in the subcritical regime, below the onset of Benard-von Karman vortex shedding at Re_c ~ 47. The transient response of infinitesimal perturbations is computed. The domain requirements for obtaining converged results is discussed at length. It is shown that energy amplification occurs as low as Re=2.2. Throughout much of the subcritical regime the maximum energy amplification increases approximately exponentially in the square of Re reaching 6800 at Re_c$. The spatiotemporal structure of the optimal transient dynamics is shown to be transitory Benard-von Karman vortex streets. At Re ~ 42 the long-time structure switches from exponentially increasing downstream to exponentially decaying downstream. Three-dimensional computations show that two-dimensional structures dominate the energy growth except at short times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-03T15:58:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47.20.Ft",
      "47.15.Tr",
      "47.10.ad",
      "47.11.Kb"
    ],
    "keywords": [
      "flow past",
      "circular cylinder",
      "computational study",
      "subcritical response",
      "energy amplification increases"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2010,
      "month": "Aug",
      "volume": 82,
      "number": 2,
      "pages": "026315"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010PhRvE..82b6315C"
    }
  }
}