{
  "id": "1509.06218",
  "version": "v1",
  "published": "2015-09-21T13:24:23.000Z",
  "updated": "2015-09-21T13:24:23.000Z",
  "title": "Layer-averaged Euler and Navier-Stokes equations",
  "authors": [
    "M. -O. Bristeau",
    "C. Guichard",
    "B. Di Martino",
    "J. Sainte-Marie"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "In this paper we propose a strategy to approximate incompressible free surface Euler and Navier-Stokes models. The main advantage of the proposed models is that the water depth is a dynamical variable of the system and hence the model is formulated over a fixed domain. The proposed strategy extends previous works approximating the Euler and Navier-Stokes systems using a multilayer description. Here, the needed closure relations are obtained using an energy-based optimality criterion instead of an asymptotic expansion. Moreover, the layer-averaged description is successfully applied to the Navier-Stokes system with a general form of the Cauchy stress tensor.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-09-21T13:24:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "navier-stokes equations",
      "layer-averaged euler",
      "navier-stokes system",
      "approximate incompressible free surface euler",
      "cauchy stress tensor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}