{
  "id": "1212.0573",
  "version": "v1",
  "published": "2012-12-03T21:59:09.000Z",
  "updated": "2012-12-03T21:59:09.000Z",
  "title": "Lagrangian and geometric analysis of finite-time Euler singularities",
  "authors": [
    "Tobias Grafke",
    "Rainer Grauer"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1210.2534",
  "categories": [
    "physics.flu-dyn"
  ],
  "abstract": "We present a numerical method of analyzing possibly singular incompressible 3D Euler flows using massively parallel high-resolution adaptively refined numerical simulations up to 8192^3 mesh points. Geometrical properties of Lagrangian vortex line segments are used in combination with analytical non-blowup criteria by Deng et al [Commun. PDE 31 (2006)] to reliably distinguish between singular and near-singular flow evolution. We then apply the presented technique to a class of high-symmetry initial conditions and present numerical evidence against the formation of a finite-time singularity in this case.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-03T21:59:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "singularity",
      "finite-time euler singularities",
      "geometric analysis",
      "possibly singular incompressible 3d",
      "lagrangian"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.0573G"
    }
  }
}