### Abstract

Properties of velocity circulation in three-dimensional turbulence are studied using data from highresolution direct numerical simulation of Navier-Stokes equations. The probability density function (PDF) of the circulation depends on the area of the closed contour for which circulation is calculated, but not on the shape of the contour. For contours lying within the inertial range, the PDF has a Gaussian core with conspicuous exponential tails, indicating that intermittency plays an important role in circulation statistics. The measured scaling exponents are anomalous and substantially smaller than those implied by Kolmogorov's phenomenology.

Original language | English (US) |
---|---|

Pages (from-to) | 616-619 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 76 |

Issue number | 4 |

State | Published - Jan 22 1996 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*76*(4), 616-619.

**Properties of velocity circulation in three-dimensional turbulence.** / Cao, Nianzheng; Chen, Shiyi; Sreenivasan, Katepalli R.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 76, no. 4, pp. 616-619.

}

TY - JOUR

T1 - Properties of velocity circulation in three-dimensional turbulence

AU - Cao, Nianzheng

AU - Chen, Shiyi

AU - Sreenivasan, Katepalli R.

PY - 1996/1/22

Y1 - 1996/1/22

N2 - Properties of velocity circulation in three-dimensional turbulence are studied using data from highresolution direct numerical simulation of Navier-Stokes equations. The probability density function (PDF) of the circulation depends on the area of the closed contour for which circulation is calculated, but not on the shape of the contour. For contours lying within the inertial range, the PDF has a Gaussian core with conspicuous exponential tails, indicating that intermittency plays an important role in circulation statistics. The measured scaling exponents are anomalous and substantially smaller than those implied by Kolmogorov's phenomenology.

AB - Properties of velocity circulation in three-dimensional turbulence are studied using data from highresolution direct numerical simulation of Navier-Stokes equations. The probability density function (PDF) of the circulation depends on the area of the closed contour for which circulation is calculated, but not on the shape of the contour. For contours lying within the inertial range, the PDF has a Gaussian core with conspicuous exponential tails, indicating that intermittency plays an important role in circulation statistics. The measured scaling exponents are anomalous and substantially smaller than those implied by Kolmogorov's phenomenology.

UR - http://www.scopus.com/inward/record.url?scp=0000444247&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000444247&partnerID=8YFLogxK

M3 - Article

VL - 76

SP - 616

EP - 619

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 4

ER -