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 nonradial 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 pointwise 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 hotspot energy at burn time. The Lindl “attractor” trajectory is shown to experience nonradial 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:

 Princeton Univ., Princeton, NJ (United States)
 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:
 PHY1506122; NA0001836; SC0014664
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 25; Journal Issue: 4; Journal ID: ISSN 1070664X
 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:https://doi.org/10.1063/1.5026413
Davidovits, Seth, and Fisch, Nathaniel J. Fri .
"Bulk hydrodynamic stability and turbulent saturation in compressing hot spots". United States. doi:https://doi.org/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 nonradial 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 pointwise 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 hotspot energy at burn time. The Lindl “attractor” trajectory is shown to experience nonradial 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}
}
Web of Science
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Works referencing / citing this record:
Understanding turbulence in compressing plasma as a quasiEOS
journal, June 2019
 Davidovits, Seth; Fisch, Nathaniel J.
 Physics of Plasmas, Vol. 26, Issue 6
Viscous dissipation in twodimensional compression of turbulence
journal, August 2019
 Davidovits, Seth; Fisch, Nathaniel J.
 Physics of Plasmas, Vol. 26, Issue 8