TY - JOUR
T1 - Scaling of structure functions
AU - Stolovitzky, G.
AU - Sreenivasan, K. R.
PY - 1993
Y1 - 1993
N2 - In a recent paper, Benzi et al. [Università di Roma, Report No. ROM 2F/92/54 (unpublished)] proposed that an extensive scaling region can be observedeven at moderate Reynolds numbers when the structure functions of arbitrary order are plotted against the third-order structure function, and that the scaling region in such plots encompasses both inertial and dissipative ranges. This notion of extended self-similarity is analyzed here, and it is found that the concept is valid when it entails low-order structure functions, but that the scaling in the inertial and dissipation regions differs clearly for high orders. The same is true also for moments of the absolute value of velocity increments.
AB - In a recent paper, Benzi et al. [Università di Roma, Report No. ROM 2F/92/54 (unpublished)] proposed that an extensive scaling region can be observedeven at moderate Reynolds numbers when the structure functions of arbitrary order are plotted against the third-order structure function, and that the scaling region in such plots encompasses both inertial and dissipative ranges. This notion of extended self-similarity is analyzed here, and it is found that the concept is valid when it entails low-order structure functions, but that the scaling in the inertial and dissipation regions differs clearly for high orders. The same is true also for moments of the absolute value of velocity increments.
UR - http://www.scopus.com/inward/record.url?scp=35949005670&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=35949005670&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.48.R33
DO - 10.1103/PhysRevE.48.R33
M3 - Article
AN - SCOPUS:35949005670
VL - 48
SP - R33-R36
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 - 1
ER -