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Turbulence generation by shock interaction with a highly nonuniform medium.

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Strong shock waves interacting with nonuniform densities create turbulent flows. Our simulations show these turbulence properties depend on initial density variations and shock speed, consistent with instability predictions.

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Area of Science:

  • Fluid dynamics
  • Plasma physics
  • Astrophysical shock waves

Background:

  • Shock waves propagating through media with varying densities are subject to perturbations.
  • These perturbations can lead to the generation of postshock velocity variations and turbulence.

Purpose of the Study:

  • To investigate the generation of turbulence in strong shock waves interacting with highly nonuniform densities.
  • To develop and validate scaling relations for postshock turbulence properties.

Main Methods:

  • Numerical simulations of shock wave propagation through media with high density variance (σ_{ρ}/ρ[over ¯]∼1).
  • Simulations cover a range of shock drives and initial density configurations.
  • Comparison of simulation results with theoretical predictions and simplified analyses.

Main Results:

  • Highly disrupted shock waves and turbulent postshock flows are observed for strong shocks (M[over ¯]_{s}≳10).
  • Turbulent velocity dispersion and Mach number scale with preshock density dispersion and shock speed, aligning with Richtmyer-Meshkov instability theory.
  • Turbulence generation is dependent on the scale of initial density perturbations.

Conclusions:

  • Theoretical scaling relations reasonably predict postshock turbulence properties.
  • A simplified analysis provides reasonable predictions for reduced postshock pressure and density.
  • The study provides insights into turbulence generation mechanisms in astrophysical and experimental settings.