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Amplification of turbulence through multiple planar shocks.
Michael F Zhang1,2, Seth Davidovits3, Nathaniel J Fisch1,2
1Princeton University, Department of Astrophysical Sciences, Peyton Hall, Princeton, New Jersey 08544, USA.
Physical Review. E
|September 16, 2025
Summary
Turbulence amplification by multiple shocks depends on shock timing and ordering. Rapid shocks amplify turbulence differently than those allowing turbulence to re-isotropize, impacting energy dynamics.
Area of Science:
- Plasma Physics
- Astrophysical Fluid Dynamics
- Computational Physics
Background:
- Turbulence amplification is crucial for understanding energy dissipation in astrophysical and laboratory plasmas.
- Collisional shocks are common phenomena that can significantly alter turbulent properties.
Purpose of the Study:
- To investigate the amplification of isotropic, incompressible turbulence through multiple planar, collisional shocks.
- To analyze the impact of shock timing and ordering on turbulence amplification.
Main Methods:
- Analytical linear theory was employed to study turbulence amplification.
- Two limiting cases were explored: rapid shocks and shocks with intervening isotropization time.
Main Results:
- In the case of sufficient time for isotropization, weak multishock amplification is insensitive to thermal vs. vortical pressure distinctions.
- When turbulence does not re-isotropize, anisotropy generated by shocks feeds back, altering amplification.
- Amplification is sensitive to shock ordering, with identical mean postshock fields yielding distinct turbulent amplification.
Conclusions:
- The timing and ordering of collisional shocks critically influence turbulence amplification.
- Anisotropic turbulence generated between shocks can modify subsequent amplification.
- Understanding these effects is key for accurate modeling of turbulent phenomena in various physical systems.
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