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Vortex polarization and circulation statistics in isotropic turbulence.

L Moriconi1, R M Pereira2, V J Valadão3

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This study analyzes a vortex gas model for turbulence, using direct numerical simulations to interpret vortex polarization. Findings reveal distinct structural differences between classical and quantum turbulence, even at inertial scales, due to polarization-circulation correlations.

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Area of Science:

  • Fluid Dynamics
  • Turbulence Theory
  • Computational Physics

Background:

  • Homogeneous and isotropic turbulence models are crucial for understanding fluid dynamics.
  • A recent vortex gas model offers a new framework for turbulence analysis.
  • Understanding vortex dynamics is key to characterizing turbulent flows.

Purpose of the Study:

  • To provide a physical interpretation of the vortex polarization field within a vortex gas model.
  • To compare the structural characteristics of classical and quantum turbulence.
  • To identify the underlying mechanisms causing differences between classical and quantum turbulence.

Main Methods:

  • Direct numerical simulations (DNS) were employed.
  • Analysis focused on the degree of vortex polarization.
  • Investigated vortex interactions and cluster structures.

Main Results:

  • Direct numerical simulations provided a physical interpretation of vortex polarization.
  • Classical and quantum turbulence show distinct structural characteristics at inertial scales.
  • Correlations between polarization and circulation intensity in vortex clusters drive these differences.

Conclusions:

  • The vortex gas model offers insights into turbulence complexity.
  • Key differences between classical and quantum turbulence are linked to vortex cluster dynamics.
  • Vortex polarization is a critical field for distinguishing turbulence types.