### Abstract

The refined similarity hypotheses of Kolmogorov, regarded as an important ingredient of intermittent turbulence, has been tested in the past using one-dimensional data and plausible surrogates of energy dissipation. We employ data from direct numerical simulations, at the microscale Reynolds number Rλ∼650, on a periodic box of 40963 grid points to test the hypotheses using three-dimensional averages. In particular, we study the small-scale properties of the stochastic variable V=Δu(r)/(rεr)1/3, where Δu(r) is the longitudinal velocity increment and εr is the dissipation rate averaged over a three-dimensional volume of linear size r. We show that V is universal in the inertial subrange. In the dissipation range, the statistics of V are shown to depend solely on a local Reynolds number.

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

Article number | 063024 |

Journal | Physical Review E |

Volume | 92 |

Issue number | 6 |

DOIs | |

State | Published - Dec 28 2015 |

### Fingerprint

### ASJC Scopus subject areas

- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Statistics and Probability

### Cite this

*Physical Review E*,

*92*(6), [063024]. https://doi.org/10.1103/PhysRevE.92.063024

**Refined similarity hypothesis using three-dimensional local averages.** / Iyer, Kartik P.; Sreenivasan, Katepalli R.; Yeung, P. K.

Research output: Contribution to journal › Article

*Physical Review E*, vol. 92, no. 6, 063024. https://doi.org/10.1103/PhysRevE.92.063024

}

TY - JOUR

T1 - Refined similarity hypothesis using three-dimensional local averages

AU - Iyer, Kartik P.

AU - Sreenivasan, Katepalli R.

AU - Yeung, P. K.

PY - 2015/12/28

Y1 - 2015/12/28

N2 - The refined similarity hypotheses of Kolmogorov, regarded as an important ingredient of intermittent turbulence, has been tested in the past using one-dimensional data and plausible surrogates of energy dissipation. We employ data from direct numerical simulations, at the microscale Reynolds number Rλ∼650, on a periodic box of 40963 grid points to test the hypotheses using three-dimensional averages. In particular, we study the small-scale properties of the stochastic variable V=Δu(r)/(rεr)1/3, where Δu(r) is the longitudinal velocity increment and εr is the dissipation rate averaged over a three-dimensional volume of linear size r. We show that V is universal in the inertial subrange. In the dissipation range, the statistics of V are shown to depend solely on a local Reynolds number.

AB - The refined similarity hypotheses of Kolmogorov, regarded as an important ingredient of intermittent turbulence, has been tested in the past using one-dimensional data and plausible surrogates of energy dissipation. We employ data from direct numerical simulations, at the microscale Reynolds number Rλ∼650, on a periodic box of 40963 grid points to test the hypotheses using three-dimensional averages. In particular, we study the small-scale properties of the stochastic variable V=Δu(r)/(rεr)1/3, where Δu(r) is the longitudinal velocity increment and εr is the dissipation rate averaged over a three-dimensional volume of linear size r. We show that V is universal in the inertial subrange. In the dissipation range, the statistics of V are shown to depend solely on a local Reynolds number.

UR - http://www.scopus.com/inward/record.url?scp=84954514681&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84954514681&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.92.063024

DO - 10.1103/PhysRevE.92.063024

M3 - Article

AN - SCOPUS:84954514681

VL - 92

JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

SN - 1063-651X

IS - 6

M1 - 063024

ER -