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Related Experiment Videos

Coherent vortex extraction in 3D turbulent flows using orthogonal wavelets.

M Farge1, G Pellegrino, K Schneider

  • 1Laboratoire de Météorologie Dynamique du CNRS, Ecole Normale Supérieure, Paris, France.

Physical Review Letters
|August 11, 2001
PubMed
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A new wavelet technique effectively extracts coherent vortices from 3D turbulent flows. This method isolates vortex tubes, retaining most energy while enabling statistical modeling of the remaining flow.

Area of Science:

  • Fluid Dynamics
  • Turbulence Research
  • Wavelet Analysis

Background:

  • Understanding the structure of three-dimensional turbulent flows is crucial for various scientific and engineering applications.
  • Turbulent flows contain both coherent structures (like vortices) and incoherent components.
  • Distinguishing between these components is challenging but essential for accurate modeling.

Purpose of the Study:

  • To develop and present a novel wavelet-based technique for extracting coherent vortices from three-dimensional turbulent flows.
  • To analyze the energy distribution and spectral characteristics of coherent and incoherent flow components.
  • To demonstrate the effectiveness of the technique on a homogeneous isotropic turbulent flow.

Main Methods:

  • Application of a wavelet technique to a high-resolution (N = 256^3) homogeneous isotropic turbulent flow dataset.

Related Experiment Videos

  • Identification and reconstruction of coherent flow structures using a small subset of wavelet coefficients (3%N).
  • Analysis of the energy content and spectral properties (k^-5/3 spectrum) of the reconstructed coherent flow.

    • Main Results:

    • The coherent flow, primarily composed of vortex tubes, was successfully reconstructed using only 3%N wavelet coefficients.
    • The reconstructed coherent flow captured 98.9% of the total flow energy.
    • The energy spectrum of the coherent flow matched the k^-5/3 spectrum of the total flow, indicating its significance.

    Conclusions:

    • The wavelet technique provides an efficient method for isolating coherent vortices in turbulent flows.
    • The majority of turbulent energy resides in the coherent vortical structures.
    • The remaining incoherent flow (97%N coefficients) is structureless and can be statistically modeled.