• Corpus ID: 219956254

Scaling in Decaying Turbulence at High Reynolds Numbers

@article{Kuchler2020ScalingID,
  title={Scaling in Decaying Turbulence at High Reynolds Numbers},
  author={Christian Kuchler and Eberhard Bodenschatz and Gregory P. Bewley},
  journal={arXiv: Fluid Dynamics},
  year={2020}
}
The way the increment statistics of turbulent velocity fluctuations scale with the increment size is a centerpiece of turbulence theories. We report data on decaying turbulence in the Max Planck Variable Density Turbulence Tunnel (VDTT), which show an approach of the inertial range statistics toward a nontrivial shape at small scales. By correcting for the contributions of energy decay to the large-scale statistics with a model, we find the scaling exponent of the second-order velocity… 

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References

SHOWING 1-10 OF 74 REFERENCES
Reynolds number scaling of velocity increments in isotropic turbulence.
TLDR
It is shown that both longitudinal and transverse velocity increments scale on locally averaged dissipation rate, just as postulated by Kolmogorov's refined similarity hypothesis, and that, in isotropic turbulence, a single independent scaling adequately describes fluid turbulence in the inertial range.
Decay of turbulence at high reynolds numbers.
TLDR
The high-Reynolds-number limit of the grid-turbulence wind-tunnel experiment is concerned, and it is observed that the decay rate is Reynolds-number independent, which contradicts some models and supports others.
Study of High-Reynolds Number Isotropic Turbulence by Direct Numerical Simulation
We review studies of the statistics of isotropic turbulence in an incompressible fluid at high Reynolds numbers using direct numerical simulation (DNS) from the viewpoint of fundamental physics. The
Asymptotic exponents from low-Reynolds-number flows
The high-order statistics of fluctuations in velocity gradients in the crossover range from the inertial to the Kolmogorov and sub-Kolmogorov scales are studied by direct numerical simulations (DNS)
Dissipative Effects on Inertial-Range Statistics at High Reynolds Numbers.
TLDR
Experimental measurements in classical grid turbulence that uncover oscillations of the velocity structure functions in the inertial range are reported, suggesting that dissipation influences the inertials-range statistics of turbulent flows at scales significantly larger than predicted by current models and theories.
Velocity field statistics in homogeneous steady turbulence obtained using a high-resolution direct numerical simulation
Velocity field statistics in the inertial to dissipation range of three-dimensional homogeneous steady turbulent flow are studied using a high-resolution DNS with up to N=10243 grid points. The range
Measurements of the Kolmogorov constant and intermittency exponent at very high Reynolds numbers
Characteristics of turbulence in the inertial range are experimentally studied in the atmospheric surface layer over the range of the Taylor microscale based Reynolds number Rλ≊(2.8–12.7)×103 and in
On the Scales of Turbulent Motion at High Reynolds Numbers
Turbulence is a physical state of a fluid far from equilibrium. In turbulent flows, a huge number of degrees of freedom is excited and a wide range of interacting scales determines the flow
The bottleneck effect and the Kolmogorov constant in isotropic turbulence
A large database from direct numerical simulations of isotropic turbulence, including recent simulations for box sizes up to 40963 and the Taylor–Reynolds number Rλ ≈ 1000, is used to investigate the
Scalings and relative scalings in the Navier-Stokes turbulence.
TLDR
High-resolution direct numerical simulations of 3D Navier-Stokes turbulence with normal viscosity and hyperviscosity are carried out and it is found that the inertial-range statistics are independent of the dissipation mechanism, while the near-dissipation-range fluctuations show significant structural differences.
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