{
  "id": "1602.02072",
  "version": "v1",
  "published": "2016-02-05T15:55:49.000Z",
  "updated": "2016-02-05T15:55:49.000Z",
  "title": "Stability analysis of pressure correction schemes for the Navier-Stokes equations with traction boundary conditions",
  "authors": [
    "Abner J. Salgado",
    "Sanghyun Lee"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "We present a stability analysis for two different rotational pressure correction schemes with traction boundary conditions. First, we provide a stability analysis for a rotational version of the grad-div stabilized scheme of [A. Bonito, J.-L. Guermond, and S. Lee. Modified pressure-correction projection methods: Open boundary and variable time stepping. In Numerical Mathematics and Advanced Applications - ENUMATH 2013, volume 103 of Lecture Notes in Computational Science and Engineering, pages 623-631. Springer, 2015]. This scheme turns out to be unconditionally stable, provided the stabilization parameter is suitably chosen. We also establish a conditional stability result for the boundary correction scheme presented in [E. Bansch. A finite element pressure correction scheme for the Navier-Stokes equations with traction boundary condition. Comput. Methods Appl. Mech. Engrg., 279:198-211, 2014]. These results are shown by employing the equivalence between stabilized gauge Uzawa methods and rotational pressure correction schemes with traction boundary conditions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-02-05T15:55:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "traction boundary condition",
      "stability analysis",
      "navier-stokes equations",
      "rotational pressure correction schemes",
      "finite element pressure correction scheme"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}