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Multiscale correlations and conditional averages in numerical turbulence

Grossmann1, Lohse, Reeh

  • 1Fachbereich Physik der Philipps-Universitat, Marburg, Germany. grossmann_s@physik.uni-marburg.de

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|October 14, 2000
PubMed
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This study investigates turbulent flow correlation functions across different scales. Results confirm the inertial range fusion rule and provide insights into conditional averages of velocity fluctuations.

Area of Science:

  • Fluid Dynamics
  • Turbulence Theory
  • Statistical Mechanics

Background:

  • Correlation functions involving multiple scales are crucial for understanding turbulence.
  • Previous studies focused on either large scales or experimental/synthetic data.

Purpose of the Study:

  • To analyze the scaling of correlation functions across inertial and viscous subranges.
  • To investigate conditional averages of velocity fluctuations in turbulent flows.

Main Methods:

  • Numerical simulations using Navier-Stokes equations on a 60(3) grid.
  • Analysis of correlation functions and conditional averages.

Main Results:

  • Confirmation of the inertial range fusion rule.

Related Experiment Videos

  • Gained insights into conditional averages, specifically local dissipation rate conditioned on velocity fluctuations.
  • Conclusions:

    • The study complements existing high Reynolds number data.
    • Provides a deeper understanding of turbulent flow behavior across different scales.