Search Menu
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information
Search Scholarly Publications

Title: Interfacial mixing in high-energy-density matter with a multiphysics kinetic model

Abstract

We have extended here a recently developed multispecies, multitemperature Bhatnagar-Gross-Krook model [Haack et al., J. Stat. Phys. 168, 822 (2017)], to include multiphysics capabilities that enable modeling of a wider range of physical conditions. In terms of geometry, we have extended from the spatially homogeneous setting to one spatial dimension. In terms of the physics, we have included an atomic ionization model, accurate collision physics across coupling regimes, self-consistent electric fields, and degeneracy in the electronic screening. We apply the model to a warm dense matter scenario in which the ablator-fuel interface of an inertial confinement fusion target is heated, but for larger length and time scales and for much higher temperatures than can be simulated using molecular dynamics. Relative to molecular dynamics, the kinetic model greatly extends the temperature regime and the spatiotemporal scales over which we are able to model. In our numerical results we observe hydrogen from the ablator material jetting into the fuel during the early stages of the implosion and compare the relative size of various diffusion components (Fickean diffusion, electrodiffusion, and barodiffusion) that drive this process. We also examine kinetic effects, such as anisotropic distributions and velocity separation, in order to determine when thismore » problem can be described with a hydrodynamic model.« less

Authors:
 [1];  [2];  [3]
+ Show Author Affiliations
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Computational and Applied Mathematics Group; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Mathematics
  3. Michigan State Univ., East Lansing, MI (United States). Dept. of Computational Mathematics, Science and Engineering
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
OSTI Identifier:
1514956
Alternate Identifier(s):
OSTI ID: 1414510
Report Number(s):
LA-UR-17-25906
Journal ID: ISSN 2470-0045
Grant/Contract Number:  
AC52-06NA25396; AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
Journal Volume: 96; Journal Issue: 6; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; high-energy-density plasmas; inertial confinement fusion; plasma transport; plasma kinetic theory

Citation Formats

Haack, Jeffrey R., Hauck, Cory D., and Murillo, Michael S. Interfacial mixing in high-energy-density matter with a multiphysics kinetic model. United States: N. p., 2017. Web. doi:10.1103/PhysRevE.96.063310.
Copy to clipboard
Haack, Jeffrey R., Hauck, Cory D., & Murillo, Michael S. Interfacial mixing in high-energy-density matter with a multiphysics kinetic model. United States. https://doi.org/10.1103/PhysRevE.96.063310
Copy to clipboard
Haack, Jeffrey R., Hauck, Cory D., and Murillo, Michael S. Thu . "Interfacial mixing in high-energy-density matter with a multiphysics kinetic model". United States. https://doi.org/10.1103/PhysRevE.96.063310. https://www.osti.gov/servlets/purl/1514956.
Copy to clipboard
@article{osti_1514956,
title = {Interfacial mixing in high-energy-density matter with a multiphysics kinetic model},
author = {Haack, Jeffrey R. and Hauck, Cory D. and Murillo, Michael S.},
abstractNote = {We have extended here a recently developed multispecies, multitemperature Bhatnagar-Gross-Krook model [Haack et al., J. Stat. Phys. 168, 822 (2017)], to include multiphysics capabilities that enable modeling of a wider range of physical conditions. In terms of geometry, we have extended from the spatially homogeneous setting to one spatial dimension. In terms of the physics, we have included an atomic ionization model, accurate collision physics across coupling regimes, self-consistent electric fields, and degeneracy in the electronic screening. We apply the model to a warm dense matter scenario in which the ablator-fuel interface of an inertial confinement fusion target is heated, but for larger length and time scales and for much higher temperatures than can be simulated using molecular dynamics. Relative to molecular dynamics, the kinetic model greatly extends the temperature regime and the spatiotemporal scales over which we are able to model. In our numerical results we observe hydrogen from the ablator material jetting into the fuel during the early stages of the implosion and compare the relative size of various diffusion components (Fickean diffusion, electrodiffusion, and barodiffusion) that drive this process. We also examine kinetic effects, such as anisotropic distributions and velocity separation, in order to determine when this problem can be described with a hydrodynamic model.},
doi = {10.1103/PhysRevE.96.063310},
journal = {Physical Review E},
number = 6,
volume = 96,
place = {United States},
year = {Thu Dec 21 00:00:00 EST 2017},
month = {Thu Dec 21 00:00:00 EST 2017}
}
Copy to clipboard
Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevE.96.063310
Copyright Statement
Other availability
Search WorldCat Search WorldCat to find libraries that may hold this journal
Citation Metrics:
Cited by: 11 works
Citation information provided by
Web of Science

Figures / Tables:

FIG. 1 FIG. 1: Interdiffusion coeffcient. Shown are the predictions of the nondimensionalized interdiffusion coeffcients $D^{*}_{ij}$ for a mixture of hydrogen and helium over a range of $Γ$. The BGK-ET model (small circles) coincides with the SM model (solid line), and the MD results (large circles), which is expected since the formulasmore » are based on the same collision integral $Ω^{(11)}_{ij}$ . The BGK-EM model (plus symbols) predicts less di usion than the SM model. However, it tracks the trend of the MD results into the moderately coupled regime, unlike the classical Coulomb logarithm theory (dashed line)« less
All figures and tables (13 total)
Save / Share:
Export Metadata
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.

Works referenced in this record:

Plasma kinetic effects on interfacial mix
journal, November 2016

  • Yin, L.; Albright, B. J.; Taitano, W.
  • Physics of Plasmas, Vol. 23, Issue 11
  • DOI: 10.1063/1.4966562

Tests of the hydrodynamic equivalence of direct-drive implosions with different D2 and He3 mixtures
journal, May 2006

  • Rygg, J. R.; Frenje, J. A.; Li, C. K.
  • Physics of Plasmas, Vol. 13, Issue 5
  • DOI: 10.1063/1.2192759

Fuel gain exceeding unity in an inertially confined fusion implosion
journal, February 2014

  • Hurricane, O. A.; Callahan, D. A.; Casey, D. T.
  • Nature, Vol. 506, Issue 7488
  • DOI: 10.1038/nature13008

Spontaneously Growing Transverse Waves in a Plasma Due to an Anisotropic Velocity Distribution
journal, February 1959

The potential role of electric fields and plasma barodiffusion on the inertial confinement fusion database
journal, May 2011

  • Amendt, Peter; Wilks, S. C.; Bellei, C.
  • Physics of Plasmas, Vol. 18, Issue 5
  • DOI: 10.1063/1.3577577

Development and validation of a turbulent-mix model for variable-density and compressible flows
journal, October 2010

Diffusivity in asymmetric Yukawa ionic mixtures in dense plasmas
journal, August 2014

An adaptive, conservative 0D-2V multispecies Rosenbluth–Fokker–Planck solver for arbitrarily disparate mass and temperature regimes
journal, August 2016

Fluid and kinetic simulation of inertial confinement fusion plasmas
journal, July 2005

Linear dependence of surface expansion speed on initial plasma temperature in warm dense matter
journal, July 2016

  • Bang, W.; Albright, B. J.; Bradley, P. A.
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep29441

A mass, momentum, and energy conserving, fully implicit, scalable algorithm for the multi-dimensional, multi-species Rosenbluth–Fokker–Planck equation
journal, September 2015

Inertial-confinement fusion with lasers
journal, May 2016

  • Betti, R.; Hurricane, O. A.
  • Nature Physics, Vol. 12, Issue 5
  • DOI: 10.1038/nphys3736

Numerical Navier-Stokes Solutions from Gas Kinetic Theory
journal, September 1994

  • Xu, Kun; Prendergast, Kevin H.
  • Journal of Computational Physics, Vol. 114, Issue 1
  • DOI: 10.1006/jcph.1994.1145

Hydrodynamic description of an unmagnetized plasma with multiple ion species. I. General formulation
journal, March 2016

  • Simakov, Andrei N.; Molvig, Kim
  • Physics of Plasmas, Vol. 23, Issue 3
  • DOI: 10.1063/1.4943894

Species separation and kinetic effects in collisional plasma shocks
journal, May 2014

  • Bellei, C.; Rinderknecht, H.; Zylstra, A.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4876614

On High Order Strong Stability Preserving Runge–Kutta and Multi Step Time Discretizations
journal, October 2005

Hydrodynamic description of an unmagnetized plasma with multiple ion species. II. Two and three ion species plasmas
journal, March 2016

  • Simakov, Andrei N.; Molvig, Kim
  • Physics of Plasmas, Vol. 23, Issue 3
  • DOI: 10.1063/1.4943895

Nonlocal Magnetic-Field Generation in Plasmas without Density Gradients
journal, January 2002

Finite Volume Methods for Hyperbolic Problems
book, January 2002

Shear viscosity for dense plasmas by equilibrium molecular dynamics in asymmetric Yukawa ionic mixtures
journal, November 2015

A Conservative, Entropic Multispecies BGK Model
journal, June 2017

  • Haack, Jeffrey R.; Hauck, Cory D.; Murillo, Michael S.
  • Journal of Statistical Physics, Vol. 168, Issue 4
  • DOI: 10.1007/s10955-017-1824-9

Rayleigh-Taylor Growth Measurements in the Acceleration Phase of Spherical Implosions on OMEGA
journal, September 2009

A spectral-Lagrangian Boltzmann solver for a multi-energy level gas
journal, May 2014

  • Munafò, Alessandro; Haack, Jeffrey R.; Gamba, Irene M.
  • Journal of Computational Physics, Vol. 264
  • DOI: 10.1016/j.jcp.2014.01.036

Anomalous yield reduction in direct-drive deuterium/tritium implosions due to H3e addition
journal, May 2009

  • Herrmann, H. W.; Langenbrunner, J. R.; Mack, J. M.
  • Physics of Plasmas, Vol. 16, Issue 5
  • DOI: 10.1063/1.3141062

Ionic transport in high-energy-density matter
journal, April 2016

Numerical Passage from Kinetic to Fluid Equations
journal, February 1991

  • Coron, F.; Perthame, B.
  • SIAM Journal on Numerical Analysis, Vol. 28, Issue 1
  • DOI: 10.1137/0728002

Local discrete velocity grids for deterministic rarefied flow simulations
journal, June 2014

Large-scale molecular dynamics simulations of dense plasmas: The Cimarron Project
journal, March 2012

  • Graziani, Frank R.; Batista, Victor S.; Benedict, Lorin X.
  • High Energy Density Physics, Vol. 8, Issue 1
  • DOI: 10.1016/j.hedp.2011.06.010

Plasma Barodiffusion in Inertial-Confinement-Fusion Implosions: Application to Observed Yield Anomalies in Thermonuclear Fuel Mixtures
journal, September 2010

Partial ionization in dense plasmas: Comparisons among average-atom density functional models
journal, June 2013

New Statistical Models for Kinetic Theory: Methods of Construction
journal, January 1966

The RAGE radiation-hydrodynamic code
journal, October 2008

Kinetic theory molecular dynamics and hot dense matter: Theoretical foundations
journal, September 2014

A comparison of mix models for the Rayleigh–Taylor instability
journal, January 2012

Ion kinetic effects on the ignition and burn of inertial confinement fusion targets: A multi-scale approach
journal, December 2014

  • Peigney, B. E.; Larroche, O.; Tikhonchuk, V.
  • Physics of Plasmas, Vol. 21, Issue 12
  • DOI: 10.1063/1.4904212

Approximate models for the ion-kinetic regime in inertial-confinement-fusion capsule implosions
journal, May 2015

  • Hoffman, Nelson M.; Zimmerman, George B.; Molvig, Kim
  • Physics of Plasmas, Vol. 22, Issue 5
  • DOI: 10.1063/1.4921130

Self-diffusion, interdiffusion and long wavelength plasma oscillations in binary ionic mixtures
journal, September 1985

  • Hansen, J. P.; Joly, F.; McDonald, I. R.
  • Physica A: Statistical Mechanics and its Applications, Vol. 132, Issue 2-3
  • DOI: 10.1016/0378-4371(85)90022-6

Three-dimensional HYDRA simulations of National Ignition Facility targets
journal, May 2001

  • Marinak, M. M.; Kerbel, G. D.; Gentile, N. A.
  • Physics of Plasmas, Vol. 8, Issue 5
  • DOI: 10.1063/1.1356740

Collisional effects in the ion Weibel instability for two counter-propagating plasma streams
journal, March 2014

  • Ryutov, D. D.; Fiuza, F.; Huntington, C. M.
  • Physics of Plasmas, Vol. 21, Issue 3
  • DOI: 10.1063/1.4867062
    Sort by:
    [ × clear filter / sort ]

    Works referencing / citing this record:

    Ion friction at small values of the Coulomb logarithm
    journal, May 2019

    Ion friction at small values of the Coulomb logarithm
    text, January 2019

      Sort by:
      [ × clear filter / sort ]

      Figures / Tables found in this record:

      FIG. 1 (p. 6)figure
      FIG. 2 (p. 6)figure
      FIG. 3 (p. 9)figure
      TABLE I (p. 9)table
      FIG. 4 (p. 11)figure
      FIG. 5 (p. 12)figure
      FIG. 6 (p. 13)figure
      FIG. 7 (p. 14)figure
      FIG. 8 (p. 14)figure
      FIG. 10 (p. 15)figure
      FIG. 9 (p. 15)figure
      FIG. 11 (p. 16)figure
      FIG. 12 (p. 16)figure
        [ × clear filter / sort ]
        Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.

        Similar Records in DOE PAGES and OSTI.GOV collections: