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

Abstract

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.

Authors:
 [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)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); National Science Foundation (NSF)
OSTI Identifier:
1432486
Alternate Identifier(s):
OSTI ID: 1414499
Grant/Contract Number:  
PHY-1506122; NA0001836
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 24; Journal Issue: 12; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Davidovits, Seth, and Fisch, Nathaniel J. Modeling turbulent energy behavior and sudden viscous dissipation in compressing plasma turbulence. United States: N. p., 2017. Web. doi:10.1063/1.5006946.
Davidovits, Seth, & Fisch, Nathaniel J. Modeling turbulent energy behavior and sudden viscous dissipation in compressing plasma turbulence. United States. doi:10.1063/1.5006946.
Davidovits, Seth, and Fisch, Nathaniel J. Thu . "Modeling turbulent energy behavior and sudden viscous dissipation in compressing plasma turbulence". United States. doi:10.1063/1.5006946. https://www.osti.gov/servlets/purl/1432486.
@article{osti_1432486,
title = {Modeling turbulent energy behavior and sudden viscous dissipation in compressing plasma turbulence},
author = {Davidovits, Seth and Fisch, Nathaniel J.},
abstractNote = {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.},
doi = {10.1063/1.5006946},
journal = {Physics of Plasmas},
number = 12,
volume = 24,
place = {United States},
year = {2017},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
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Cited by: 2 works
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Figures / Tables:

FIG. 1 FIG. 1: A comparison of simulation and model turbulent kinetic energy (TKE) during compression at two rates, for two different net viscosity dependencies on compression, µ ( ) ∼ −2β ; see Eq. (1) and the surrounding discussion. On the left, β = 2.5, the “base” plasma case with adiabaticmore » plasma heating and fixed ionization state. On the right, β = 1.5, representing either weaker heating, and/or some ionization during compression. An initially turbulent flow (Taylor-Reynolds number Reλ,0 ≈ 82) is compressed at a velocity Ub on times equal to (Ub,norm = 1) or faster than (Ub,norm = 10) the initial turbulent decay time. The x-axes are the linear compression ratio; the domain is a box of initial side length 1, with the side length shrinking as the compression progresses from left to right in the graphs. For each simulation, we also plot the result of the model with the same Ub, β, ν0 and initial TKE, Eq. (15), rescaled to the lab frame using Eq. (11). The results show reasonable agreement, with no “free” parameters used between the two different β cases. There is an apparent tendency for the model to suddenly dissipate somewhat early (at larger L). The simulation and model parameters are given in full in Table I.« less

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    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.