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Title: Bulk hydrodynamic stability and turbulent saturation in compressing hot spots

Abstract

Here, for hot spots compressed at constant velocity, we give a hydrodynamic stability criterion that describes the expected energy behavior of non-radial hydrodynamic motion for different classes of trajectories (in ρR — T space). For a given compression velocity, this criterion depends on ρR, T, and dT/d(ρR) (the trajectory slope) and applies point-wise so that the expected behavior can be determined instantaneously along the trajectory. Among the classes of trajectories are those where the hydromotion is guaranteed to decrease and those where the hydromotion is bounded by a saturated value. We calculate this saturated value and find the compression velocities for which hydromotion may be a substantial fraction of hot-spot energy at burn time. The Lindl “attractor” trajectory is shown to experience non-radial hydrodynamic energy that grows towards this saturated state. Furthermore, comparing the saturation value with the available detailed 3D simulation results, we find that the fluctuating velocities in these simulations reach substantial fractions of the saturated value.

Authors:
 [1]; ORCiD logo [2]
  1. Princeton Univ., Princeton, NJ (United States)
  2. Princeton Univ., Princeton, 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
OSTI Identifier:
1466039
Alternate Identifier(s):
OSTI ID: 1434193
Grant/Contract Number:  
PHY-1506122; NA0001836; SC0014664
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 4; 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. Bulk hydrodynamic stability and turbulent saturation in compressing hot spots. United States: N. p., 2018. Web. doi:10.1063/1.5026413.
Davidovits, Seth, & Fisch, Nathaniel J. Bulk hydrodynamic stability and turbulent saturation in compressing hot spots. United States. doi:10.1063/1.5026413.
Davidovits, Seth, and Fisch, Nathaniel J. Fri . "Bulk hydrodynamic stability and turbulent saturation in compressing hot spots". United States. doi:10.1063/1.5026413. https://www.osti.gov/servlets/purl/1466039.
@article{osti_1466039,
title = {Bulk hydrodynamic stability and turbulent saturation in compressing hot spots},
author = {Davidovits, Seth and Fisch, Nathaniel J.},
abstractNote = {Here, for hot spots compressed at constant velocity, we give a hydrodynamic stability criterion that describes the expected energy behavior of non-radial hydrodynamic motion for different classes of trajectories (in ρR — T space). For a given compression velocity, this criterion depends on ρR, T, and dT/d(ρR) (the trajectory slope) and applies point-wise so that the expected behavior can be determined instantaneously along the trajectory. Among the classes of trajectories are those where the hydromotion is guaranteed to decrease and those where the hydromotion is bounded by a saturated value. We calculate this saturated value and find the compression velocities for which hydromotion may be a substantial fraction of hot-spot energy at burn time. The Lindl “attractor” trajectory is shown to experience non-radial hydrodynamic energy that grows towards this saturated state. Furthermore, comparing the saturation value with the available detailed 3D simulation results, we find that the fluctuating velocities in these simulations reach substantial fractions of the saturated value.},
doi = {10.1063/1.5026413},
journal = {Physics of Plasmas},
number = 4,
volume = 25,
place = {United States},
year = {2018},
month = {4}
}

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