{
  "annotation_id": "dab47242-70e8-481b-879c-446aba4e0aae",
  "date_created": "2026-03-02T18:00:53.371000Z",
  "date_modified": "2026-03-02T18:00:53.371000Z",
  "file_hash": "ecb2cb774184ae76a03cac8be9d30a9bb006fc415cbe8bbe4ce750e4d73f7103",
  "private": false,
  "record": {
    "abstract": "A dynamic procedure for the Lagrangian Averaged Navier-Stokes-$\\alpha$\n(LANS-$\\alpha$) equations is developed where the variation in the parameter\n$\\alpha$ in the direction of anisotropy is determined in a self-consistent way\nfrom data contained in the simulation itself. The dynamic model is initially\ntested in forced and decaying isotropic turbulent flows where $\\alpha$ is\nconstant in space but it is allowed to vary in time. It is observed that by\nusing the dynamic LANS-$\\alpha$ procedure a more accurate simulation of the\nisotropic homogeneous turbulence is achieved. The energy spectra and the total\nkinetic energy decay are captured more accurately as compared with the\nLANS-$\\alpha$ simulations using a fixed $\\alpha$. In order to evaluate the\napplicability of the dynamic LANS-$\\alpha$ model in anisotropic turbulence, a\npriori test of a turbulent channel flow is performed. It is found that the\nparameter $\\alpha$ changes in the wall normal direction. Near a solid wall, the\nlength scale $\\alpha$ is seen to depend on the distance from the wall with a\nvanishing value at the wall. On the other hand, away from the wall, where the\nturbulence is more isotropic, $\\alpha$ approaches an almost constant value.\nFurthermore, the behavior of the subgrid scale stresses in the near wall region\nis captured accurately by the dynamic LANS-$\\alpha$ model. The dynamic\nLANS-$\\alpha$ model has the potential to extend the applicability of the\nLANS-$\\alpha$ equations to more complicated anisotropic flows.",
    "arxiv_id": "physics/0408113",
    "authors": [
      "Hongwu Zhao",
      "Kamran Mohseni"
    ],
    "categories": [
      "physics.flu-dyn"
    ],
    "doi": "10.1063/1.1965166",
    "title": "A Dynamic model for the Lagrangian Averaged Navier-Stokes-$\\alpha$   Equations",
    "url": "https://arxiv.org/abs/physics/0408113"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6468eb85-94b2-4023-9b32-c9b41ad61006",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}