Dynamics of direct large-small scale couplings in coherently forced turbulence: Concurrent physical- and Fourier-space views. (English) Zbl 0835.76040
Kolmogorov hypothesis and similarity theory have a strong influence on the turbulence theory, measurement and modelling. Recently many scientists and experts in turbulence research were interested in the dynamical implications of the Kolmogorov theory, and tried to elaborate the physical meaning of the Kolmogorov hypothesis. As is known, in fully developed turbulent flows inertial nonlinearities create and maintain motions over a wide range of length scales. But there is no influence of the outer energy-dominated scales on the inner dissipation-dominated scales at large scale separation in the high Reynolds number flows. This hypothesis of no direct energy transfer between the large and small scales, which assumes the energy transfer from large-scale motion to small-scale motion to occur within local scale interactions through the inertial-dominated range of intermediate scales with negligible dissipation, has got experimental and numerical support. Nevertheless, the hypothesis of local isotropy in the inertial subrange at extremely high Reynolds numbers remains controversial. This paper tries to complete the understanding of dynamics underlying large and small scale interactions in high Reynolds number turbulence. The paper considers the widely used Kolmogorov hypothesis of large and small scale independence and local isotropy from both the Fourier-space and physical-space points of view. For this aim, the authors employ an analysis of triadic interactions of Navier-Stokes equations in Fourier space.
Reviewer: Wei Zhong-Lei (Beijing)
Keywords:
Kolmogorov hypothesis; similarity theory; inertial nonlinearities; hypothesis of local isotropy; high Reynolds number turbulence; triadic interactions; Navier-Stokes equationsReferences:
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