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Related Concept Videos

Entropy02:39

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Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
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Related Experiment Video

Updated: Jul 12, 2026

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
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Published on: July 19, 2016

Inverse energy cascade in two-dimensional turbulence: deviations from gaussian behavior

Boffetta1, Celani, Vergassola

  • 1Dipartimento di Fisica Generale, Universita di Torino, and INFM, Unita di Torino Universita, I-10126 Torino, Italy.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 25, 2000
PubMed
Summary

High-resolution simulations reveal inverse energy cascades in 2D turbulence, showing deviations from Gaussian statistics. Asymmetries in probability distributions confirm the inverse energy flux, with significant increases in higher-order moments.

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Area of Science:

  • Fluid Dynamics
  • Computational Physics
  • Turbulence Research

Background:

  • Two-dimensional turbulence exhibits complex energy transfer mechanisms.
  • Understanding deviations from Gaussian statistics is crucial for turbulence theory.
  • The inverse energy cascade is a key phenomenon in stratified or 2D flows.

Purpose of the Study:

  • To investigate the stationary inverse energy cascade in 2D turbulence using high-resolution numerical simulations.
  • To quantitatively analyze deviations from Gaussian behavior in velocity difference statistics.
  • To reliably measure asymmetries indicative of the inverse energy flux and assess intermittency corrections.

Main Methods:

  • High-resolution numerical simulations of two-dimensional turbulence.
  • Statistical analysis of velocity differences.
  • Investigation of probability distribution functions (PDFs) of longitudinal increments.
  • Calculation of odd-order moments and skewness.

Main Results:

  • Simulations confirm a stationary inverse energy cascade.
  • Significant deviations from Gaussian statistics were observed.
  • Reliable measurements of asymmetries in PDFs and odd-order moments confirmed the inverse energy flux.
  • No measurable intermittency corrections were found in scaling laws.
  • The seventh-order skewness increased significantly, approaching order unity.

Conclusions:

  • The study provides robust evidence for the inverse energy cascade in 2D turbulence.
  • Asymmetries in statistical distributions serve as a clear signature of the inverse energy flux.
  • Higher-order moments, particularly skewness, are sensitive indicators of non-Gaussian behavior in turbulent flows.