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Related Experiment Videos

Measures of intermittency in driven supersonic flows.

D Porter1, A Pouquet, P Woodward

  • 1Department of Astronomy, University of Minnesota, 116 Church Street SE, Minneapolis, Minnesota 55455, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 21, 2002
PubMed
Summary

This study investigates scaling exponents in driven supersonic flows, finding compressible velocity components are weaker than solenoidal ones. Results show velocity scaling is similar to incompressible flow, while density and entropy deviate significantly.

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Area of Science:

  • Fluid dynamics
  • Turbulence research
  • Computational physics

Background:

  • Understanding turbulence in supersonic flows is crucial for astrophysical and engineering applications.
  • Previous studies often focused on incompressible or low Mach number flows, leaving supersonic regimes less explored.
  • Supersonic flows introduce compressibility and shock waves, significantly altering turbulent behavior.

Purpose of the Study:

  • To compute scaling exponents for structure functions of velocity, density, and entropy in driven supersonic flows.
  • To analyze the impact of compressibility and shocks on turbulence scaling.
  • To compare findings with existing theories like the Kolmogorov refined similarity hypothesis.

Main Methods:

  • Numerical simulations using the piecewise parabolic method (PPM) algorithm.

Related Experiment Videos

  • Utilizing high-resolution grids up to 512(3) points for accuracy.
  • Employing driving mechanisms with one or three orthogonal shear waves.

    • Main Results:

    • Compressible velocity components are approximately 6 times weaker than solenoidal components in the statistically steady regime.
    • Longitudinal and transverse velocity scaling exponents are similar to incompressible flows and robust to shocks.
    • Density and entropy structure functions show significant deviations from linear scaling.

    Conclusions:

    • Supersonic turbulence exhibits distinct scaling properties compared to incompressible turbulence, particularly for passive scalars like density and entropy.
    • The solenoidal component of velocity dominates in driven supersonic flows.
    • The study provides insights into energy transfer and turbulence characteristics under supersonic conditions.