TY - JOUR
T1 - Emergence of universal scaling in isotropic turbulence
AU - Khurshid, Sualeh
AU - Donzis, Diego A.
AU - Sreenivasan, Katepalli R.
N1 - Funding Information:
The authors gratefully acknowledge many insightful discussions with Victor Yakhot. S.K. was partially supported by the National Science Foundation Grant No. 2127309 to the Computing Research Association for the Computing Innovation Fellows 2021 Project.
Publisher Copyright:
© 2023 American Physical Society.
PY - 2023/4
Y1 - 2023/4
N2 - Universal properties of turbulence have been associated traditionally with very high Reynolds numbers, but recent work has shown that the onset of the power laws in derivative statistics occurs at modest microscale Reynolds numbers of the order of 10, with the corresponding exponents being consistent with those for the inertial range structure functions at very high Reynolds numbers. In this paper we use well-resolved direct numerical simulations of homogeneous and isotropic turbulence to establish this result for a range of initial conditions with different forcing mechanisms. We also show that the moments of transverse velocity gradients possess larger scaling exponents than those of the longitudinal moments, confirming past results that the former are more intermittent than the latter.
AB - Universal properties of turbulence have been associated traditionally with very high Reynolds numbers, but recent work has shown that the onset of the power laws in derivative statistics occurs at modest microscale Reynolds numbers of the order of 10, with the corresponding exponents being consistent with those for the inertial range structure functions at very high Reynolds numbers. In this paper we use well-resolved direct numerical simulations of homogeneous and isotropic turbulence to establish this result for a range of initial conditions with different forcing mechanisms. We also show that the moments of transverse velocity gradients possess larger scaling exponents than those of the longitudinal moments, confirming past results that the former are more intermittent than the latter.
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U2 - 10.1103/PhysRevE.107.045102
DO - 10.1103/PhysRevE.107.045102
M3 - Article
C2 - 37198849
AN - SCOPUS:85153508543
SN - 1063-651X
VL - 107
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 - 4
M1 - 045102
ER -