{
  "id": "1909.05131",
  "version": "v1",
  "published": "2019-09-08T07:17:59.000Z",
  "updated": "2019-09-08T07:17:59.000Z",
  "title": "Error analysis of the SAV-MAC scheme for the Navier-Stokes equations",
  "authors": [
    "Xiaoli Li",
    "Jie Shen"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1905.08504",
  "categories": [
    "math.NA",
    "cs.NA",
    "math.AP"
  ],
  "abstract": "An efficient numerical scheme based on the scalar auxiliary variable (SAV) and marker and cell scheme (MAC) is constructed for the Navier-Stokes equations. A particular feature of the scheme is that the nonlinear term is treated explicitly while being unconditionally energy stable. A rigorous error analysis is carried out to show that both velocity and pressure approximations are second-order accurate in time and space. Numerical experiments are presented to verify the theoretical results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-09-08T07:17:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "navier-stokes equations",
      "sav-mac scheme",
      "scalar auxiliary",
      "cell scheme",
      "second-order accurate"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}