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Researchers identified a critical transition time in decaying turbulence simulations. This shift marks changes in energy dissipation and the emergence of classical Taylor-Kolmogorov scaling, challenging existing theories.

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Area of Science:

  • Fluid Dynamics
  • Turbulence Theory
  • Computational Physics

Background:

  • Turbulence exhibits complex energy cascades and dissipation mechanisms.
  • Direct numerical simulations (DNS) are crucial for studying turbulence at high Reynolds numbers.
  • Understanding unsteady turbulence is vital for various scientific and engineering applications.

Purpose of the Study:

  • To investigate the transition dynamics of decaying three-dimensional Navier-Stokes turbulence.
  • To identify a critical time point where turbulence characteristics change significantly.
  • To re-evaluate existing turbulence scaling laws in light of new simulation data.

Main Methods:

  • Conducted 311 direct numerical simulations (DNS) of decaying turbulence.
  • Simulations covered a range of Taylor length-based Reynolds numbers up to 300.
  • Analyzed energy spectra, integral length scales, and interscale energy flux.

Main Results:

  • A critical time was identified where integral length scale evolution reverses.
  • The ratio of interscale energy flux to dissipation changes behavior in the inertial range.
  • Turbulence dissipation scaling shifts from recent findings to classical Taylor-Kolmogorov scaling.
  • Large-scale coherent structures' signature diminishes in the energy spectrum.

Conclusions:

  • The study reveals a critical transition in decaying turbulence, impacting scaling laws.
  • Classical Taylor-Kolmogorov scaling can emerge even without statistically stationary conditions.
  • New hypotheses are proposed for theoretical frameworks of unsteady turbulence with coherent structures.