{
  "id": "2106.09191",
  "version": "v1",
  "published": "2021-06-17T00:54:16.000Z",
  "updated": "2021-06-17T00:54:16.000Z",
  "title": "The Biot-Stokes coupling using total pressure: formulation, analysis and application to interfacial flow in the eye",
  "authors": [
    "Ricardo Ruiz-Baier",
    "Matteo Taffetani",
    "Hans D. Westermeyer",
    "Ivan Yotov"
  ],
  "comment": "30 pages",
  "categories": [
    "math.NA",
    "cs.NA",
    "physics.comp-ph"
  ],
  "abstract": "We consider a multiphysics model for the flow of Newtonian fluid coupled with Biot consolidation equations through an interface, and incorporating total pressure as an unknown in the poroelastic region. A new mixed-primal finite element scheme is proposed solving for the pairs fluid velocity - pressure and displacement - total poroelastic pressure using Stokes-stable elements, and where the formulation does not require Lagrange multipliers to set up the usual transmission conditions on the interface. The stability and well-posedness of the continuous and semi-discrete problems are analysed in detail. Our numerical study {is framed in} the context of different interfacial flow regimes in Cartesian and axisymmetric coordinates that could eventually help describe early morphologic changes associated with glaucoma development in canine species.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-17T00:54:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M60",
      "65M12",
      "76S05",
      "74F10",
      "92C35"
    ],
    "keywords": [
      "total pressure",
      "biot-stokes coupling",
      "formulation",
      "application",
      "mixed-primal finite element scheme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}