Oscillations Modulating Power Law Exponents in Isotropic Turbulence: Comparison of Experiments with Simulations.

@article{Iyer2021OscillationsMP,
  title={Oscillations Modulating Power Law Exponents in Isotropic Turbulence: Comparison of Experiments with Simulations.},
  author={Kartik P. Iyer and Gregory P. Bewley and Luca Biferale and Katepalli R. Sreenivasan and P. K. Yeung},
  journal={Physical review letters},
  year={2021},
  volume={126 25},
  pages={
          254501
        }
}
Inertial-range features of turbulence are investigated using data from experimental measurements of grid turbulence and direct numerical simulations of isotropic turbulence simulated in a periodic box, both at the Taylor-scale Reynolds number R_{λ}∼1000. In particular, oscillations modulating the power-law scaling in the inertial range are examined for structure functions up to sixth-order moments. The oscillations in exponent ratios decrease with increasing sample size in simulations, although… 
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References

SHOWING 1-10 OF 35 REFERENCES
Simple multifractal cascade model for fully developed turbulence.
Dissipation of energy in the locally isotropic turbulence
  • A. Kolmogorov
  • Geology
    Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
  • 1991
In my note (Kolmogorov 1941a) I defined the notion of local isotropy and introduced the quantities Bdd(r)=[ud(M′)−ud(M)]2,¯[un(M′)−un(M)¯]2, where r denotes the distance between the points M and M',
Mean-field approximation and a small parameter in turbulence theory.
  • V. Yakhot
  • Physics
    Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2001
TLDR
It is shown that in the vicinity of d=d(c) the ratio of the relaxation and translation characteristic times decreases to zero, thus giving rise to a small parameter of the theory, and predicted that the single-point probability density function of transverse velocity components in developing as well as in the large-scale stabilized two-dimensional turbulence is a Gaussian.
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.
Universal scaling laws in fully developed turbulence.
‘G’
  • P. Alam
  • Composites Engineering: An A–Z Guide
  • 2021
Scaling exponents saturate in three-dimensional isotropic turbulence
From a database of direct numerical simulations of homogeneous and isotropic turbulence, generated in periodic boxes of various sizes, we extract the spherically symmetric part of moments of velocity
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
On the multifractal nature of fully developed turbulence and chaotic systems
It is generally argued that the energy dissipation of three-dimensional turbulent flow is concentrated on a set with non-integer Hausdorff dimension. Recently, in order to explain experimental data,
...
...