A Review of Equation-of-State Models for Inertial Confinement Fusion Materials

Gaffney, J. A.; Hu, S. X.; Arnault, P.; Becker, A.; Benedict, L. X.; Boehly, T. R.; Celliers, P. M.; Ceperley, D. M.; Čertík, O.; Clérouin, J.; Collins, G. W.; Collins, L. A.; Danel, J. -F.; Desbiens, N.; Dharma-wardana, M. W. C.; Ding, Y. H.; Fernandez-Pañella, A.; Gregor, M. C.; Grabowski, P. E.; Hamel, S.; Hansen, S. B.; Harbour, L.; He, X. T.; Johnson, D. D.; Kang, W.; Karasiev, V. V.; Kazandjian, L.; Knudson, M. D.; Ogitsu, T.; Pierleoni, C.; Piron, R.; Redmer, R.; Robert, G.; Saumon, D.; Shamp, A.; Sjostrom, T.; Smirnov, A. V.; Starrett, C. E.; Sterne, P. A.; Wardlow, A.; Whitley, H. D.; Wilson, B.; Zhang, P.; Zurek, E.

doi:10.1016/j.hedp.2018.08.001

A Review of Equation-of-State Models for Inertial Confinement Fusion Materials

Journal Article · Sat Aug 18 04:00:00 EDT 2018 · High Energy Density Physics

DOI:https://doi.org/10.1016/j.hedp.2018.08.001· OSTI ID:1476340

Gaffney, J. A. ^[1]; Hu, S. X. ^[2]; Arnault, P. ^[3]; Becker, A. ^[4]; Benedict, L. X. ^[5]; Boehly, T. R. ^[2]; ^[5]; Ceperley, D. M. ^[6]; ^[7]; ^[3]; Collins, G. W. ^[2]; Collins, L. A. ^[7]; Danel, J. -F. ^[3]; Desbiens, N. ^[3]; Dharma-wardana, M. W. C. ^[8]; Ding, Y. H. ^[2]; Fernandez-Pañella, A. ^[5]; Gregor, M. C. ^[5]; Grabowski, P. E. ^[5]; Hamel, S. ^[5] more »

Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States); Laboratory for Laser Energetics, University of Rochester
Univ. of Rochester, NY (United States). Lab. for Laser Energetics
Alternative Energies and Atomic Energy Commission (CEA), Arpajon (France)
Univ. Rostock, Rostock (Germany). Inst. für Physik
Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Univ. of Illinois, Urbana-Champaign, IL (United States). Dept. of Physics
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
National Research Council of Canada, Ottawa (Canada)
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Univ. of Montreal, Quebec (Canada)
Peking Univ., Beijing (China). Center for Applied Physics and Technology, HEDPS; Inst. of Applied Physics and Computational Mathematics, Beijing (China)
Ames Lab. and Iowa State Univ., Ames, IA (United States). Dept. of Materials Science & Engineering
Peking Univ., Beijing (China). Center for Applied Physics and Technology, HEDPS; Peking Univ., Beijing (China). College of Engineering
Washington State Univ., Pullman, WA (United States)
Univ. of L’Aquila (Italy).Dept. of Physical and Chemical Sciences; Univ. Paris-Sud, Orsay (France); Univ. Paris-Saclay, Gif-sur-Yvette (France). Maison de la Simulation
State Univ. of New York at Buffalo (SUNY), Buffalo, NY (United States). Dept. of Chemistry
Ames Lab. and Iowa State Univ., Ames, IA (United States)
AWE Aldermaston, Reading, Berkshire (United Kingdom)

Material equation-of-state (EOS) models, generally providing the pressure and internal energy for a given density and temperature, are required to close the equations of hydrodynamics. As a result they are an essential piece of physics used to simulate inertial con nement fusion (ICF) implosions. Historically, EOS models based on different physical/chemical pictures of matter have been developed for ICF relevant materials such as the deuterium (D2) or deuterium-tritium (DT) fuel, as well as candidate ablator materials such as polystyrene (CH), glow-discharge polymer (GDP), Berylium (Be), Carbon (C), and boron carbide (B₄C). The accuracy of these EOS models can directly affect the reliability of ICF target design and understanding, as shock timing and material compressibility are essentially determined by what EOS models are used in ICF simulations. Systematic comparisons of current EOS models, benchmarking with experiments, not only help us to understand what model differences are and why they occur, but also to identify the state-of-the-art EOS models for ICF target designers to use. For this purpose, the first Equation of- State Workshop, supported by the US Department of Energy's ICF program, was held at the Laboratory for Laser Energetics (LLE), University of Rochester on 31 May - 2nd June, 2017. Finally, this paper presents a detailed review on the findings from this workshop: (1) 5-10% model-model variations exist throughout the relevant parameter space, and can be much larger in regions where ionization and dissociation are occurring, (2) the D₂ EOS is particularly uncertain, with no single model able to match the available experimental data, and this drives similar uncertainties in the CH EOS, and (3) new experimental capabilities such as Hugoniot measurements around 100 Mbar and high-quality temperature measurements are essential to reducing EOS uncertainty.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Rochester, NY (United States). Lab. for Laser Energetics

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0001944

OSTI ID:: 1476340

Alternate ID(s):: OSTI ID: 1703957
OSTI ID: 23071540
OSTI ID: 1483369
OSTI ID: 1489960
OSTI ID: 1496980
OSTI ID: 1497265

Report Number(s):: 2018--156; 1--437; 2018-156, 1437, 2395

Journal Information:: High Energy Density Physics, Journal Name: High Energy Density Physics Journal Issue: C Vol. 28; ISSN 1574-1818

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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