DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Ion-kinetic simulations of D-3He gas-filled inertial confinement fusion target implosions with moderate to large Knudsen number

Abstract

Experiments designed to investigate the transition to non-collisional behavior in D3He-gas inertial confinement fusion target implosions display increasingly large discrepancies with respect to simulations by standard hydrodynamics codes as the expected ion mean-free-paths λc increase with respect to the target radius R (i.e., when the Knudsen number NK = λc/R grows). To take properly into account large NK's, multi-ion-species Vlasov-Fokker-Planck computations of the inner gas in the capsules have been performed, for two different values of NK, one moderate and one large. The results, including nuclear yield, reactivity-weighted ion temperatures, nuclear emissivities, and surface brightness, have been compared with the experimental data and with the results of hydrodynamical simulations, some of which include an ad hocmodeling of kinetic effects. The experimental results are quite accurately rendered by the kinetic calculations in the smaller-NK case, much better than by the hydrodynamical calculations. The kinetic effects at play in this case are thus correctly understood. However, in the higher-NK case, the agreement is much worse. Furthermore, the remaining discrepancies are shown to arise from kinetic phenomena (e.g., inter-species diffusion) occurring at the gas-pusher interface, which should be investigated in the future work.

Authors:
 [1];  [2];  [3];  [4];  [5];  [6];  [2];  [6]
  1. CEA DIF, Arpajon Cedex (France)
  2. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
  3. Univ. of Rochester, Rochester, NY (United States)
  4. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  5. Univ. di Roma "La Sapienza" and CNISM, Roma (Italy)
  6. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Lab., Livermore, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1281685
Report Number(s):
LLNL-JRNL-696097
Journal ID: ISSN 1070-664X
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 1; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; 70 PLASMA PHYSICS AND FUSION; hydrological modeling; interface diffusion; plasma temperature; helium-3; collision theories

Citation Formats

Larroche, O., Rinderknecht, H. G., Rosenberg, M. J., Hoffman, N. M., Atzeni, S., Petrasso, R. D., Amendt, P. A., and Seguin, F. H. Ion-kinetic simulations of D-3He gas-filled inertial confinement fusion target implosions with moderate to large Knudsen number. United States: N. p., 2016. Web. doi:10.1063/1.4939025.
Larroche, O., Rinderknecht, H. G., Rosenberg, M. J., Hoffman, N. M., Atzeni, S., Petrasso, R. D., Amendt, P. A., & Seguin, F. H. Ion-kinetic simulations of D-3He gas-filled inertial confinement fusion target implosions with moderate to large Knudsen number. United States. https://doi.org/10.1063/1.4939025
Larroche, O., Rinderknecht, H. G., Rosenberg, M. J., Hoffman, N. M., Atzeni, S., Petrasso, R. D., Amendt, P. A., and Seguin, F. H. Wed . "Ion-kinetic simulations of D-3He gas-filled inertial confinement fusion target implosions with moderate to large Knudsen number". United States. https://doi.org/10.1063/1.4939025. https://www.osti.gov/servlets/purl/1281685.
@article{osti_1281685,
title = {Ion-kinetic simulations of D-3He gas-filled inertial confinement fusion target implosions with moderate to large Knudsen number},
author = {Larroche, O. and Rinderknecht, H. G. and Rosenberg, M. J. and Hoffman, N. M. and Atzeni, S. and Petrasso, R. D. and Amendt, P. A. and Seguin, F. H.},
abstractNote = {Experiments designed to investigate the transition to non-collisional behavior in D3He-gas inertial confinement fusion target implosions display increasingly large discrepancies with respect to simulations by standard hydrodynamics codes as the expected ion mean-free-paths λc increase with respect to the target radius R (i.e., when the Knudsen number NK = λc/R grows). To take properly into account large NK's, multi-ion-species Vlasov-Fokker-Planck computations of the inner gas in the capsules have been performed, for two different values of NK, one moderate and one large. The results, including nuclear yield, reactivity-weighted ion temperatures, nuclear emissivities, and surface brightness, have been compared with the experimental data and with the results of hydrodynamical simulations, some of which include an ad hocmodeling of kinetic effects. The experimental results are quite accurately rendered by the kinetic calculations in the smaller-NK case, much better than by the hydrodynamical calculations. The kinetic effects at play in this case are thus correctly understood. However, in the higher-NK case, the agreement is much worse. Furthermore, the remaining discrepancies are shown to arise from kinetic phenomena (e.g., inter-species diffusion) occurring at the gas-pusher interface, which should be investigated in the future work.},
doi = {10.1063/1.4939025},
journal = {Physics of Plasmas},
number = 1,
volume = 23,
place = {United States},
year = {2016},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 6 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Review of the National Ignition Campaign 2009-2012
journal, February 2014

  • Lindl, John; Landen, Otto; Edwards, John
  • Physics of Plasmas, Vol. 21, Issue 2
  • DOI: 10.1063/1.4865400

Transport Phenomena in a Completely Ionized Gas
journal, March 1953


Kinetic mix mechanisms in shock-driven inertial confinement fusion implosions
journal, May 2014

  • Rinderknecht, H. G.; Sio, H.; Li, C. K.
  • Physics of Plasmas, Vol. 21, Issue 5
  • DOI: 10.1063/1.4876615

The production spectrum in fusion plasmas
journal, February 2011


Kinetic simulation of a plasma collision experiment
journal, August 1993

  • Larroche, Olivier
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 8
  • DOI: 10.1063/1.860670

Point design targets, specifications, and requirements for the 2010 ignition campaign on the National Ignition Facility
journal, May 2011

  • Haan, S. W.; Lindl, J. D.; Callahan, D. A.
  • Physics of Plasmas, Vol. 18, Issue 5
  • DOI: 10.1063/1.3592169

2-D Lagrangian studies of symmetry and stability of laser fusion targets
journal, December 1986


Numerical fluid solutions for nonlocal electron transport in hot plasmas: Equivalent diffusion versus nonlocal source
journal, June 2010


D3He-proton emission imaging for inertial-confinement-fusion experiments (invited)
journal, October 2004

  • Séguin, F. H.; DeCiantis, J. L.; Frenje, J. A.
  • Review of Scientific Instruments, Vol. 75, Issue 10
  • DOI: 10.1063/1.1788892

Collision and interpenetration of plasmas created by laser‐illuminated disks
journal, April 1992

  • Bosch, R. A.; Berger, R. L.; Failor, B. H.
  • Physics of Fluids B: Plasma Physics, Vol. 4, Issue 4
  • DOI: 10.1063/1.860114

Species separation and modification of neutron diagnostics in inertial-confinement fusion
journal, September 2014


Interpenetrating Plasma Shells: Near-Equipartition Magnetic Field Generation and Nonthermal Particle Acceleration
journal, September 2003

  • Silva, L. O.; Fonseca, R. A.; Tonge, J. W.
  • The Astrophysical Journal, Vol. 596, Issue 1
  • DOI: 10.1086/379156

Diagnosing implosion performance at the National Ignition Facility (NIF) by means of neutron spectrometry
journal, March 2013


Ion Thermal Decoupling and Species Separation in Shock-Driven Implosions
journal, January 2015


Emergence of kinetic behavior in streaming ultracold neutral plasmas
journal, April 2015

  • McQuillen, P.; Castro, J.; Bradshaw, S. J.
  • Physics of Plasmas, Vol. 22, Issue 4
  • DOI: 10.1063/1.4918705

Ignition target design and robustness studies for the National Ignition Facility
journal, May 1996

  • Krauser, William J.; Hoffman, Nelson M.; Wilson, Douglas C.
  • Physics of Plasmas, Vol. 3, Issue 5
  • DOI: 10.1063/1.872006

Improved formulas for fusion cross-sections and thermal reactivities
journal, April 1992


Modeling and effects of nonlocal electron heat flow in planar shock waves
journal, May 1995

  • Vidal, F.; Matte, J. P.; Casanova, M.
  • Physics of Plasmas, Vol. 2, Issue 5
  • DOI: 10.1063/1.871357

Assessment of ion kinetic effects in shock-driven inertial confinement fusion implosions using fusion burn imaging
journal, June 2015

  • Rosenberg, M. J.; Séguin, F. H.; Amendt, P. A.
  • Physics of Plasmas, Vol. 22, Issue 6
  • DOI: 10.1063/1.4921935

Kinetic simulations of fuel ion transport in ICF target implosions
journal, November 2003

  • Larroche, O.
  • The European Physical Journal D - Atomic, Molecular and Optical Physics, Vol. 27, Issue 2
  • DOI: 10.1140/epjd/e2003-00251-1

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


Kinetic to thermal energy transfer and interpenetration in the collision of laser-produced plasmas
journal, January 1997

  • Chenais-Popovics, C.; Renaudin, P.; Rancu, O.
  • Physics of Plasmas, Vol. 4, Issue 1
  • DOI: 10.1063/1.872132

X-ray microscopy of laser produced counterstreaming plasmas — investigation of population inversion in [He]-like Al
journal, November 1991


First Observations of Nonhydrodynamic Mix at the Fuel-Shell Interface in Shock-Driven Inertial Confinement Implosions
journal, April 2014


The Physics of Inertial Fusion
book, January 2004


Observation of magnetic field generation via the Weibel instability in interpenetrating plasma flows
journal, January 2015

  • Huntington, C. M.; Fiuza, F.; Ross, J. S.
  • Nature Physics, Vol. 11, Issue 2
  • DOI: 10.1038/nphys3178

Fokker-Planck Equation for an Inverse-Square Force
journal, July 1957

  • Rosenbluth, Marshall N.; MacDonald, William M.; Judd, David L.
  • Physical Review, Vol. 107, Issue 1
  • DOI: 10.1103/physrev.107.1

The physics basis for ignition using indirect-drive targets on the National Ignition Facility
journal, February 2004

  • Lindl, John D.; Amendt, Peter; Berger, Richard L.
  • Physics of Plasmas, Vol. 11, Issue 2
  • DOI: 10.1063/1.1578638

Experiment on collisionless plasma interaction with applications to supernova remnant physics
journal, July 2004

  • Courtois, C.; Grundy, R. A. D.; Ash, A. D.
  • Physics of Plasmas, Vol. 11, Issue 7
  • DOI: 10.1063/1.1752930

A comparison of kinetic and multifluid simulations of laser‐produced colliding plasmas
journal, August 1995

  • Rambo, P. W.; Procassini, R. J.
  • Physics of Plasmas, Vol. 2, Issue 8
  • DOI: 10.1063/1.871145

Long Ion Mean-Free Path and Nonequilibrium Radiation Effects on High-Aspect-Ratio Laser-Driven Implosions
journal, May 1989


Kinetic simulation of a collisional shock wave in a plasma
journal, October 1991


Investigation of ion kinetic effects in direct-drive exploding-pusher implosions at the NIF
journal, December 2014

  • Rosenberg, M. J.; Zylstra, A. B.; Séguin, F. H.
  • Physics of Plasmas, Vol. 21, Issue 12
  • DOI: 10.1063/1.4905064

Exploration of the Transition from the Hydrodynamiclike to the Strongly Kinetic Regime in Shock-Driven Implosions
journal, May 2014


Ion Fokker-Planck simulation of D- 3 He gas target implosions
journal, December 2012


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

Fusion neutron energies and spectra
journal, July 1973


Exploration of the Transition from the Hydrodynamiclike to the Strongly Kinetic Regime in Shock-Driven Implosions
journal, May 2014


First Observations of Nonhydrodynamic Mix at the Fuel-Shell Interface in Shock-Driven Inertial Confinement Implosions
journal, April 2014


Ion Thermal Decoupling and Species Separation in Shock-Driven Implosions
journal, January 2015


Fokker-Planck Equation for an Inverse-Square Force
journal, July 1957

  • Rosenbluth, Marshall N.; MacDonald, William M.; Judd, David L.
  • Physical Review, Vol. 107, Issue 1
  • DOI: 10.1103/PhysRev.107.1

Transport Phenomena in a Completely Ionized Gas
journal, March 1953


Improved formulas for fusion cross-sections and thermal reactivities
journal, April 1992


X-ray microscopy of laser produced counterstreaming plasmas — investigation of population inversion in [He]-like Al
journal, November 1991


Kinetic simulation of a collisional shock wave in a plasma
journal, October 1991


Long Ion Mean-Free Path and Nonequilibrium Radiation Effects on High-Aspect-Ratio Laser-Driven Implosions
journal, May 1989


Improved formulas for fusion cross-sections and thermal reactivities
journal, December 1993


Species separation and modification of neutron diagnostics in inertial-confinement fusion
text, January 2014


Emergence of Kinetic Behavior in Streaming Ultracold Neutral Plasmas
text, January 2014


Works referencing / citing this record:

Excess pressure and electric fields in nonideal plasma hydrodynamics
journal, June 2019


Plasma ion stratification by weak planar shocks
journal, September 2017

  • Simakov, Andrei N.; Keenan, Brett D.; Taitano, William T.
  • Physics of Plasmas, Vol. 24, Issue 9
  • DOI: 10.1063/1.4995427

Multi-species plasma transport in 1D direct-drive ICF simulations
journal, March 2019

  • Vold, E.; Rauenzahn, R.; Simakov, A. N.
  • Physics of Plasmas, Vol. 26, Issue 3
  • DOI: 10.1063/1.5083157

Compression and burning of a direct-driven thermonuclear target under the conditions of inhomogeneous heating by a multi-beam megajoule laser
journal, January 2019

  • Bel’kov, S. A.; Bondarenko, S. V.; Demchenko, N. N.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 2
  • DOI: 10.1088/1361-6587/aaf062

Diffusion-dominated mixing in moderate convergence implosions
journal, June 2018


Hybrid particle-in-cell simulations of laser-driven plasma interpenetration, heating, and entrainment
journal, November 2019

  • Higginson, D. P.; Amendt, P.; Meezan, N.
  • Physics of Plasmas, Vol. 26, Issue 11
  • DOI: 10.1063/1.5110512

Ion species stratification within strong shocks in two-ion plasmas
journal, March 2018

  • Keenan, Brett D.; Simakov, Andrei N.; Taitano, William T.
  • Physics of Plasmas, Vol. 25, Issue 3
  • DOI: 10.1063/1.5020156

Kinetic physics in ICF: present understanding and future directions
journal, April 2018

  • Rinderknecht, Hans G.; Amendt, P. A.; Wilks, S. C.
  • Plasma Physics and Controlled Fusion, Vol. 60, Issue 6
  • DOI: 10.1088/1361-6587/aab79f

Nuclear yield reduction in inertial confinement fusion exploding-pusher targets explained by fuel-pusher mixing through hybrid kinetic-fluid modeling
journal, September 2018


Spectral composition of thermonuclear particle and recoil nuclear emissions from laser fusion targets intended for modern ignition experiments
journal, June 2018

  • Gus’kov, S. Yu; Il’in, D. V.; Perlado, J. M.
  • Plasma Physics and Controlled Fusion, Vol. 60, Issue 8
  • DOI: 10.1088/1361-6587/aac739

Ion Species Stratification Within Strong Shocks in Two-Ion Plasmas
text, January 2017