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Semi-analytical modeling of sediment-laden open-channel flows with the effects of stratification, hindered settling, and eddy viscosities.

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Fractal Geometric Model for Statistical Intermittency Phenomenon.

Walid Tarraf1,2, Diogo Queiros-Condé2, Patrick Ribeiro2

  • 1Laboratory of Research in Industrial Eco-Innovation and Energetic (LR2E), Ecole Supérieure d'Ingénieurs ECAM-EPMI, 13 Bd de l'Hautil, 95000 Cergy, France.

Entropy (Basel, Switzerland)
|May 27, 2023
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Summary
This summary is machine-generated.

This study introduces a geometric model for intermittency, validating it with entropic skin theory. The fractal model successfully describes multiscale dynamics and reversibility efficiency, offering a new visualization for this theoretical concept.

Keywords:
clusteringcomplex systemsentropic skin theoryintermittencymultiscale fractal geometrynonlinear dynamicsscale entropystatistical physicsturbulence

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Area of Science:

  • * Physics
  • * Mathematics
  • * Fractal Geometry

Background:

  • * Intermittency is a theoretical concept lacking geometric visualization.
  • * Previous approaches have not utilized simple geometric models for intermittency.

Purpose of the Study:

  • * To propose a novel geometric model for intermittency.
  • * To validate the model's ability to describe intermittency using entropic skin theory.
  • * To analyze the fractal nature of intermittency and its deviation from homogeneous turbulence models.

Main Methods:

  • * Development of a 2D point clustering geometric model resembling the Cantor shape.
  • * Application of entropic skin theory to analyze multiscale dynamics.
  • * Calculation of reversibility efficiency (γ) via statistical and geometrical analyses.
  • * Utilization of extended self-similarity (E.S.S.) for model analysis.

Main Results:

  • * Conceptual validation of the geometric model using entropic skin theory.
  • * Adequate description of intermittency via multiscale dynamics, coupling bulk and crest fluctuations.
  • * Equality of statistical (γstat) and geometrical (γgeo) reversibility efficiency values with low error.
  • * Identification of intermittency as a deviation from Kolmogorov's homogeneity assumption in turbulence.

Conclusions:

  • * The proposed fractal model provides a geometric interpretation of intermittency.
  • * Entropic skin theory effectively describes the multiscale dynamics of the proposed intermittency model.
  • * The model's validation through reversibility efficiency and E.S.S. supports its utility in understanding intermittency.