{
  "id": "1706.04060",
  "version": "v1",
  "published": "2017-06-09T21:02:37.000Z",
  "updated": "2017-06-09T21:02:37.000Z",
  "title": "A second-order time-stepping scheme for simulating ensembles of parameterized flow problems",
  "authors": [
    "Max Gunzburger",
    "Nan Jiang",
    "Zhu Wang"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1705.09350",
  "categories": [
    "math.NA"
  ],
  "abstract": "We consider settings for which one needs to perform multiple flow simulations based on the Navier-Stokes equations, each having different values for the physical parameters and/or different initial condition data, boundary conditions data, and/or forcing functions. For such settings, we propose a second-order time accurate ensemble-based method that to simulate the whole set of solutions, requires, at each time step, the solution of only a single linear system with multiple right-hand-side vectors. Rigorous analyses are given proving the conditional stability and error estimates for the proposed algorithm. Numerical experiments are provided that illustrate the analyses.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-09T21:02:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parameterized flow problems",
      "second-order time-stepping scheme",
      "simulating ensembles",
      "perform multiple flow simulations",
      "second-order time accurate ensemble-based method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}