{
  "id": "2405.19554",
  "version": "v1",
  "published": "2024-05-29T22:44:00.000Z",
  "updated": "2024-05-29T22:44:00.000Z",
  "title": "Numerical analysis of a 1/2-equation model of turbulence",
  "authors": [
    "Wei-Wei Han",
    "Rui Fang",
    "William Layton"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "The recent 1/2-equation model of turbulence is a simplification of the standard Kolmogorov-Prandtl 1-equation URANS model. Surprisingly, initial numerical tests indicated that the 1/2-equation model produces comparable velocity statistics at reduced cost. It is also a test problem and first step for developing numerical analysis to address a full 1-equation model. This report begins the numerical analysis of the 1/2 equation model. Stability, convergence and error estimates are proven for a semi-discrete and fully discrete approximation. Finally, numerical tests are conducted to validate our convergence theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-05-29T22:44:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "numerical analysis",
      "turbulence",
      "model produces comparable velocity statistics",
      "test problem",
      "urans model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}