TY - JOUR

T1 - Refined similarity hypothesis using three-dimensional local averages

AU - Iyer, Kartik P.

AU - Sreenivasan, Katepalli R.

AU - Yeung, P. K.

N1 - Funding Information:
The authors would like to thank all the participants who took part in this study. Special thanks to Mladen Buljubáić for organizing the primary school physics teachers survey and to Lucija Krce for her help in implementing the FBDT. I. A. was supported by the Ministry of Science of Republic of Croatia, under the bilateral Croatia-USA agreement on the scientific and technological cooperation, Project No. 1/2014. N. E. acknowledges the financial support of the University of Rijeka for scientific research under the Project No. 13.12.1.4.06 "Physical properties of circumstellar matter in symbiotic stars.
Publisher Copyright:
© 2015 American Physical Society.

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.

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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 -