{
  "id": "1406.5021",
  "version": "v1",
  "published": "2014-06-19T12:25:22.000Z",
  "updated": "2014-06-19T12:25:22.000Z",
  "title": "The interplay of curvature and vortices in flow on curved surfaces",
  "authors": [
    "Sebastian Reuther",
    "Axel Voigt"
  ],
  "comment": "11 pages, 9 figures",
  "categories": [
    "physics.flu-dyn",
    "math-ph",
    "math.MP",
    "physics.comp-ph"
  ],
  "abstract": "Incompressible fluids on curved surfaces are considered with respect to the interplay between topology, geometry and fluid properties using a surface vorticity-stream function formulation, which is solved using parametric finite elements. Motivated by designed examples for superfluids, we consider the influence of a geometric potential on vortices for fluids with finite viscosity and show numerical examples in which a change in the geometry is used to manipulate the flow field.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-19T12:25:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q35",
      "76D17",
      "53Z05",
      "14Q10"
    ],
    "keywords": [
      "curved surfaces",
      "surface vorticity-stream function formulation",
      "parametric finite elements",
      "flow field",
      "finite viscosity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.5021R"
    }
  }
}