TY - JOUR
T1 - Reynolds number scaling of velocity increments in isotropic turbulence
AU - Iyer, Kartik P.
AU - Sreenivasan, Katepalli R.
AU - Yeung, P. K.
N1 - Funding Information:
We thank Luca Biferale for useful discussions and D. Buaria and X. M. Zhai for their help in making data available. K.I. acknowledges funding from the European Research Council under the European Community's Seventh Framework Program, ERC Grant Agreement No. 339032. This work is partially supported by the National Science Foundation (NSF), via Grants No. CBET-1139037 and No. ACI-1036170 at the Georgia Institute of Technology. The computations were performed using supercomputing resources provided through the XSEDE consortium (which is funded by NSF) at the Texas Advanced Computing Center at the University of Texas (Austin), and the Blue Waters Project at the National Center for Supercomputing Applications at the University of Illinois (Urbana-Champaign).
Publisher Copyright:
© 2017 authors.
PY - 2017/2/10
Y1 - 2017/2/10
N2 - Using the largest database of isotropic turbulence available to date, generated by the direct numerical simulation (DNS) of the Navier-Stokes equations on an 81923 periodic box, we show that the longitudinal and transverse velocity increments scale identically in the inertial range. By examining the DNS data at several Reynolds numbers, we infer that the contradictory results of the past on the inertial-range universality are artifacts of low Reynolds number and residual anisotropy. We further show that both longitudinal and transverse velocity increments scale on locally averaged dissipation rate, just as postulated by Kolmogorov's refined similarity hypothesis, and that, in isotropic turbulence, a single independent scaling adequately describes fluid turbulence in the inertial range.
AB - Using the largest database of isotropic turbulence available to date, generated by the direct numerical simulation (DNS) of the Navier-Stokes equations on an 81923 periodic box, we show that the longitudinal and transverse velocity increments scale identically in the inertial range. By examining the DNS data at several Reynolds numbers, we infer that the contradictory results of the past on the inertial-range universality are artifacts of low Reynolds number and residual anisotropy. We further show that both longitudinal and transverse velocity increments scale on locally averaged dissipation rate, just as postulated by Kolmogorov's refined similarity hypothesis, and that, in isotropic turbulence, a single independent scaling adequately describes fluid turbulence in the inertial range.
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U2 - 10.1103/PhysRevE.95.021101
DO - 10.1103/PhysRevE.95.021101
M3 - Article
C2 - 28297886
AN - SCOPUS:85013833025
SN - 1063-651X
VL - 95
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 2
M1 - 021101
ER -