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Area of Science:

  • Fluid Dynamics
  • Turbulence Research
  • Statistical Mechanics

Background:

  • Turbulence exhibits complex scaling behavior in its inertial range.
  • Understanding intermittency is crucial for accurate turbulence modeling.
  • Previous studies have explored power-law scaling in turbulent flows.

Purpose of the Study:

  • To investigate inertial-range features of turbulence using experimental and simulation data.
  • To examine oscillations modulating power-law scaling in structure functions.
  • To compare experimental and simulation results regarding intermittency.

Main Methods:

  • Analysis of experimental grid turbulence data.
  • Direct numerical simulations of isotropic turbulence.
  • Examination of structure functions up to sixth-order moments at Taylor-scale Reynolds number R_{λ}∼1000.

Main Results:

  • Observed oscillations in power-law scaling, decreasing with sample size in simulations.
  • Persistent oscillations (4 parts in 1000) found in experimental data even after averaging.
  • Both datasets show consistent intermittency but with minor, observable differences.

Conclusions:

  • Experimental and simulation data are broadly consistent on intermittency.
  • Existing intermittency models do not fully reproduce observed scaling exponents or viscous effects.
  • Further model development is needed to account for observed scaling modulations.