Ensemble simulations of inertial confinement fusion implosions

The achievement of inertial confinement fusion ignition on the National Ignition Facility relies on the collection and interpretation of a limited (and expensive) set of experimental data. These data are therefore supplemented with state-of-the-art multidimensional radiation-hydrodynamic simulations to provide a better understanding of implosion dynamics and behavior. We present a relatively large number (∼ 4000) of systematically perturbed 2D simulations to probe our understanding of low-mode fuel and ablator asymmetries seeded by asymmetric illumination. We find that Gaussian process surrogate models are able to predict both the total neutron yield and the degradation in performance due to asymmetries. The surrogates are then applied to simulations containing new sources of degradation to quantify the impact of the new source.

[1]  Karen S. Anderson,et al.  Thermonuclear ignition in inertial confinement fusion and comparison with magnetic confinement , 2010 .

[2]  L. J. Atherton,et al.  Point design targets, specifications, and requirements for the 2010 ignition campaign on the National Ignition Facility , 2010 .

[3]  S. Skupsky,et al.  Deceleration phase of inertial confinement fusion implosions , 2002 .

[4]  M. S. Plesset,et al.  On the Stability of Fluid Flows with Spherical Symmetry , 1954 .

[5]  J. Nuckolls,et al.  Laser Compression of Matter to Super-High Densities: Thermonuclear (CTR) Applications , 1972, Nature.

[6]  Steven W. Haan,et al.  Three-dimensional HYDRA simulations of National Ignition Facility targets , 2001 .

[7]  A Pak,et al.  2D X-ray radiography of imploding capsules at the national ignition facility. , 2014, Physical review letters.

[8]  R Tommasini,et al.  AXIS: an instrument for imaging Compton radiographs using the Advanced Radiography Capability on the NIF. , 2014, The Review of scientific instruments.

[9]  L. J. Atherton,et al.  Progress Towards Ignition on the National Ignition Facility , 2013 .

[10]  Gaël Varoquaux,et al.  Scikit-learn: Machine Learning in Python , 2011, J. Mach. Learn. Res..

[11]  D. K. Bradley,et al.  Metrics for long wavelength asymmetries in inertial confinement fusion implosions on the National Ignition Facility , 2014 .

[12]  David C. Eder,et al.  Radiation hydrodynamics modeling of the highest compression inertial confinement fusion ignition experiment from the National Ignition Campaign , 2015 .

[13]  Pramod K. Varshney,et al.  Stair blue noise sampling , 2016, ACM Trans. Graph..

[14]  N. H. Abel.  Auflösung einer mechanischen Aufgabe. , 1826 .

[15]  D. K. Bradley,et al.  Tent-induced perturbations on areal density of implosions at the National Ignition Facilitya) , 2015 .

[16]  J. Lawson.  SOME CRITERIA FOR A POWER PRODUCING THERMONUCLEAR REACTOR , 1957 .

[17]  G. Marino,et al.  Corrigendum: Sea-level and deep-sea-temperature variability over the past 5.3 million years , 2014, Nature.

[18]  John Lindl,et al.  Review of the National Ignition Campaign 2009-2012 , 2014 .

[19]  G. Taylor.  The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I , 1950, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[20]  Jay D. Salmonson,et al.  Performance metrics for Inertial Confinement Fusion implosions: aspects of the technical framework for measuring progress in the National Ignition Campaign , 2011 .

[21]  Jay D. Salmonson,et al.  Robustness studies of ignition targets for the National Ignition Facility in two dimensions , 2007 .

[22]  O. L. Landen,et al.  Symmetry control in subscale near-vacuum hohlraums , 2016 .

[23]  Jay D. Salmonson,et al.  Three-dimensional simulations of low foot and high foot implosion experiments on the National Ignition Facility , 2016 .

[24]  M. Stein.  Large sample properties of simulations using latin hypercube sampling , 1987 .

[25]  Donald D. Lucas,et al.  Failure analysis of parameter-induced simulation crashes in climate models , 2013 .

[26]  J. Meyer-ter-Vehn,et al.  The physics of inertial fusion - Hydrodynamics, dense plasma physics, beam-plasma interaction , 2004 .