{
  "id": "1103.5604",
  "version": "v1",
  "published": "2011-03-29T11:20:08.000Z",
  "updated": "2011-03-29T11:20:08.000Z",
  "title": "Multi-Time Multi-Scale Correlation Functions in Hydrodynamic Turbulence",
  "authors": [
    "Luca Biferale",
    "Enrico Calzavarini",
    "Federico Toschi"
  ],
  "comment": "6 pages, 4 figures",
  "journal": "Phys. Fluids 23, 085107 (2011)",
  "doi": "10.1063/1.3623466",
  "categories": [
    "physics.flu-dyn",
    "nlin.CD"
  ],
  "abstract": "High Reynolds numbers Navier-Stokes equations are believed to break self-similarity concerning both spatial and temporal properties: correlation functions of different orders exhibit distinct decorrelation times and anomalous spatial scaling properties. Here, we present a systematic attempt to measure multi-time and multi-scale correlations functions, by using high Reynolds numbers numerical simulations of fully homogeneous and isotropic turbulent flow. The main idea is to set-up an ensemble of probing stations riding the flow, i.e. measuring correlations in a reference frame centered on the trajectory of distinct fluid particles (the quasi-Lagrangian reference frame introduced by Belinicher & L'vov, Sov. Phys. JETP 66, 303 (1987)). In this way we reduce the large-scale sweeping and measure the non-trivial temporal dynamics governing the turbulent energy transfer from large to small scales. We present evidences of the existence of dynamic multiscaling: multi-time correlation functions are characterized by an infinite set of characteristic times.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-03-29T11:20:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "47.27.Gs",
      "47.53.+n",
      "47.80.-v",
      "47.10.ad",
      "47.27.E-"
    ],
    "keywords": [
      "multi-time multi-scale correlation functions",
      "hydrodynamic turbulence",
      "reynolds numbers numerical simulations",
      "high reynolds numbers navier-stokes equations",
      "reference frame"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "Physics of Fluids",
      "year": 2011,
      "month": "Aug",
      "volume": 23,
      "number": 8,
      "pages": 5107
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhFl...23h5107B"
    }
  }
}