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Title: Modeling turbulent energy behavior and sudden viscous dissipation in compressing plasma turbulence

Journal Article · · Physics of Plasmas
DOI:https://doi.org/10.1063/1.5006946· OSTI ID:1432486
 [1]; ORCiD logo [2]
  1. Princeton Univ., NJ (United States)
  2. Princeton Univ., NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Here, we present a simple model for the turbulent kinetic energy behavior of subsonic plasma turbulence undergoing isotropic three-dimensional compression, which may exist in various inertial confinement fusion experiments or astrophysical settings. The plasma viscosity depends on both the temperature and the ionization state, for which many possible scalings with compression are possible. For example, in an adiabatic compression the temperature scales as 1/L2, with L the linear compression ratio, but if thermal energy loss mechanisms are accounted for, the temperature scaling may be weaker. As such, the viscosity has a wide range of net dependencies on the compression. The model presented here, with no parameter changes, agrees well with numerical simulations for a range of these dependencies. This model permits the prediction of the partition of injected energy between thermal and turbulent energy in a compressing plasma.

Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
Grant/Contract Number:
PHY-1506122; NA0001836
OSTI ID:
1432486
Alternate ID(s):
OSTI ID: 1414499
Journal Information:
Physics of Plasmas, Vol. 24, Issue 12; ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 10 works
Citation information provided by
Web of Science

References (22)

Inhibition of turbulence in inertial-confinement-fusion hot spots by viscous dissipation journal May 2014
Modeling of Non-Equilibrium Homogeneous Turbulence in Rapidly Compressed Flows journal June 2014
On the decay of homogeneous isotropic turbulence journal August 2000
Rapid distortion theory and the ‘problems’ of turbulence journal March 1990
Rapid distortion theory for homogeneous compressed turbulence with application to modelling journal September 1992
Drive Asymmetry and the Origin of Turbulence in an ICF Implosion journal August 2012
Development of the indirect‐drive approach to inertial confinement fusion and the target physics basis for ignition and gain journal November 1995
A Lower Bound on Adiabatic Heating of Compressed Turbulence for Simulation and Model Validation journal March 2017
The Energy Dissipation Rate of Supersonic, Magnetohydrodynamic Turbulence in Molecular Clouds journal October 1999
Ion Temperature and Hydrodynamic-Energy Measurements in a Z -Pinch Plasma at Stagnation journal August 2011
Pressure and Energy Balance of Stagnating Plasmas in z -Pinch Experiments: Implications to Current Flow at Stagnation journal July 2013
Crossover from High to Low Reynolds Number Turbulence journal December 1994
Adiabatic Heating of Contracting Turbulent Fluids journal April 2012
Compressing turbulence and sudden viscous dissipation with compression-dependent ionization state journal November 2016
Decay of Turbulence at High Reynolds Numbers journal January 2015
Recent Developments in Rapid-Distortion Theory journal January 1987
Interstellar Turbulence I: Observations and Processes journal September 2004
Rapid distortion theory for compressible homogeneous turbulence under isotropic mean strain journal October 1996
Algebraic Reynolds stress modeling of turbulence subject to rapid homogeneous and non-homogeneous compression or expansion journal February 2016
Sudden Viscous Dissipation of Compressing Turbulence journal March 2016
Modeling the rapid spherical compression of isotropic turbulence journal September 1991
Linear forcing in numerical simulations of isotropic turbulence: Physical space implementations and convergence properties journal September 2005

Cited By (4)

Bulk hydrodynamic stability and turbulent saturation in compressing hot spots journal April 2018
Understanding turbulence in compressing plasma as a quasi-EOS journal June 2019
Viscous dissipation in two-dimensional compression of turbulence journal August 2019
Self-consistent feedback mechanism for the sudden viscous dissipation of finite-Mach-number compressing turbulence text January 2018

Figures / Tables (3)


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