@article{1cf33e9f888b467da9699b284ad24e9f,
title = "Bulk hydrodynamic stability and turbulent saturation in compressing hot spots",
abstract = "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 (Phys. Plasmas 2, 3933 (1995)] {"}attractor{"} trajectory is shown to experience non-radial hydrodynamic energy that grows towards this saturated state. 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.",
author = "Seth Davidovits and Fisch, {Nathaniel J.}",
note = "Funding Information: This work was supported by NNSA 67350-9960 (Prime No. DOE DE-NA0001836), by NSF Contract No. PHY-1506122, and by the U.S. Department of Energy Fusion Energy Sciences Postdoctoral Research Program administered by the Oak Ridge Institute for Science and Education (ORISE) for the DOE. ORISE is managed by Oak Ridge Associated Universities (ORAU) under DOE Contract No. DE-SC0014664. All opinions expressed in this paper are the authors' and do not necessarily reflect the policies and views of DOE, ORAU, or ORISE. Funding Information: This work was supported by NNSA 67350-9960 (Prime No. DOE DE-NA0001836), by NSF Contract No. PHY-1506122, and by the U.S. Department of Energy Fusion Energy Sciences Postdoctoral Research Program administered by the Oak Ridge Institute for Science and Education (ORISE) for the DOE. ORISE is managed by Oak Ridge Associated Universities (ORAU) under DOE Contract No. DE-SC0014664. All opinions expressed in this paper are the authors{\textquoteright} and do not necessarily reflect the policies and views of DOE, ORAU, or ORISE. Publisher Copyright: {\textcopyright} 2018 Author(s).",
year = "2018",
month = apr,
day = "1",
doi = "10.1063/1.5026413",
language = "English (US)",
volume = "25",
journal = "Physics of Plasmas",
issn = "1070-664X",
publisher = "American Institute of Physics Publising LLC",
number = "4",
}