On statistical correlations between velocity increments and locally averaged dissipation in homogeneous turbulence

Journal Article · Mon Feb 01 04:00:00 EST 1993 · Physics of Fluids A; (United States)

DOI:https://doi.org/10.1063/1.858897· OSTI ID:6899276

Chen, S; Doolen, G D; Kraichnan, R H; She, Z ^[1]

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1. Center for Nonlinear Studies and Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

Kolmogorov postulated in 1962 [J. Fluid Mech. [bold 13], 82 (1962)] that the magnitude of velocity increments [delta][ital u][sub [ital r]] across an inertial range distance [ital r] in high Reynolds number flows is typically ([ital r][epsilon][sub [ital r]])[sup 1/3], where [epsilon][sub [ital r]] is the locally averaged dissipation rate. This refined similarity hypothesis has been widely used in discussions of anomalous exponents of velocity structure functions in connection with the scaling exponents of [epsilon][sub [ital r]]. Recently Hosokawa and Yamamoto [Phys. Fluids A [bold 4], 457 (1992)] have presented numerical evidence from turbulence simulations that [delta][ital u][sub [ital r]] is uncorrelated with [epsilon][sub [ital r]] in moderate Reynolds number flows. In the present paper, results of similar measurements are offered for flow fields with a wide range of Reynolds numbers obtained from high-resolution numerical simulations of both forced and decaying isotropic turbulence. The present results show clear evidence of correlations between [delta][ital u][sub [ital r]] and [epsilon][sub [ital r]], irrespective of the Reynolds number. Kolmogorov's hypothesis is verified for [ital r] somewhat larger than the viscous dissipation scale, but at much larger distances the correlation seems to be weaker.

• DOE Contract Number: FG03-90ER14118
• OSTI ID: 6899276
• Journal Information: Physics of Fluids A; (United States), Journal Name: Physics of Fluids A; (United States) Vol. 5:2; ISSN PFADEB; ISSN 0899-8213
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CORRELATION FUNCTIONS
FLUID FLOW
FUNCTIONS
INCOMPRESSIBLE FLOW
REYNOLDS NUMBER
STRUCTURE FUNCTIONS
TURBULENT FLOW
VELOCITY
VISCOUS FLOW