{
  "id": "1402.4123",
  "version": "v1",
  "published": "2014-02-16T18:19:38.000Z",
  "updated": "2014-02-16T18:19:38.000Z",
  "title": "Exact coherent structures in a reduced model of parallel shear flow",
  "authors": [
    "Cedric Beaume",
    "Edgar Knobloch",
    "Greg P. Chini",
    "Keith Julien"
  ],
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "A reduced description of shear flows consistent with the Reynolds number scaling of lower-branch exact coherent states in plane Couette flow [J. Wang et al., Phys. Rev. Lett. 98, 204501 (2007)] is constructed. Exact time-independent nonlinear solutions of the reduced equations corresponding to both lower and upper branch states are found for Waleffe flow [F. Waleffe, Phys. Fluids 9, 883--900 (1997)]. The lower branch solution is characterized by fluctuations that vary slowly along the critical layer while the upper branch solutions display a bimodal structure and are more strongly focused on the critical layer. The reduced model provides a rational framework for investigations of subcritical spatiotemporal patterns in parallel shear flows.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-16T18:19:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parallel shear flow",
      "exact coherent structures",
      "reduced model",
      "exact time-independent nonlinear solutions",
      "lower-branch exact coherent states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.4123B"
    }
  }
}