{
  "id": "math/0309030",
  "version": "v1",
  "published": "2003-09-02T03:51:17.000Z",
  "updated": "2003-09-02T03:51:17.000Z",
  "title": "Computational Techniques for Simulating Natural Convection in Three-Dimensional Enclosures with Tetrahedral Finite Elements",
  "authors": [
    "Kehinde O. Ladipo",
    "Roland Glowinski",
    "Tsorng-Whay Pan"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "This article discusses computational techniques for simulating natural convection in three-dimensional domains using finite element methods with tetrahedral elements. These techniques form a new numerical procedure for this kind of problems. In this procedure, the treatment of advection by a wave equation approach is extended to three-dimensional unstructured meshes with tetrahedra. Numerical results of natural convection of an incompressible Newtonian fluid in a cubical enclosure at Rayleigh numbers in the range $10^3$ to $10 ^6$ are obtained and they are in good agreement with those in literature obtained by other methods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-09-02T03:51:17.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simulating natural convection",
      "tetrahedral finite elements",
      "three-dimensional enclosures",
      "article discusses computational techniques",
      "finite element methods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......9030L"
    }
  }
}