Derivative moments in stationary homogeneous shear turbulence

Abstract

A statistically stationary and nearly homogeneous turbulent shear flow is established by an additional volume forcing in combination with stress-free boundary conditions in the shear direction. Both turbulent energy and enstrophy are stationary to a much better approximation than in previous simulations that use remeshing. The temporal fluctuations decrease with increasing Reynolds number. Energy spectra and shear-stress cospectra show that local isotropy is satisfactorily obeyed at the level of second-order moments. However, derivative moments of high-order up to n=7 yield increasing moments for n>=4 for the spanwise vorticity and the transverse derivative of the streamwise velocity in the range of Taylor Reynolds numbers 59<R_lambda<99. These findings, which are in apparent violation of local isotropy, agree with recent measurements.

10 pages, 5 Postscript figures

References in corpus (1)

• Evolution of turbulent spots in a parallel shear flow

Cited by in corpus (9)

• Anisotropy in Turbulent Flows and in Turbulent Transport
• Derivative moments in turbulent shear flows
• Geometric features of the mixing of passive scalars at high Schmidt numbers
• Relation between shear parameter and Reynolds number in statistically stationary turbulent shear flows
• Small scale structure of homogeneous turbulent shear flow
• Stretching of polymers around the Kolmogorov scale in a turbulent shear flow
• On the effects of surrogacy of energy dissipation in determining the intermittency exponent in fully developed turbulence
• Self-sustained oscillations in homogeneous shear flow
• Study of scalar gradient fields by geometric measure theory