Rayleigh–Taylor instabilities in high-energy density settings on the National Ignition Facility
Abstract
Here, the Rayleigh–Taylor (RT) instability occurs at an interface between two fluids of differing density during an acceleration. These instabilities can occur in very diverse settings, from inertial confinement fusion (ICF) implosions over spatial scales of ~10–3 – 10–1 cm (10–1,000 μm) to supernova explosions at spatial scales of ~1012 cm and larger. We describe experiments and techniques for reducing (“stabilizing”) RT growth in high-energy density (HED) settings on the National Ignition Facility (NIF) at Lawrence Livermore National Laboratory. Three unique regimes of stabilization are described: (i) at an ablation front, (ii) behind a radiative shock, and (iii) due to material strength. For comparison, we also show results from nonstabilized “classical” RT instability evolution in HED regimes on the NIF. Examples from experiments on the NIF in each regime are given. These phenomena also occur in several astrophysical scenarios and planetary science.
- Authors:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Univ. of Michigan, Ann Arbor, MI (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1479084
- Report Number(s):
- LLNL-JRNL-739404
Journal ID: ISSN 0027-8424; 892925
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Proceedings of the National Academy of Sciences of the United States of America
- Additional Journal Information:
- Journal Volume: 116; Journal Issue: 37; Journal ID: ISSN 0027-8424
- Publisher:
- National Academy of Sciences
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Rayleigh–Taylor instability; high-energy density experiments; National Ignition Facility
Citation Formats
Remington, Bruce A., Park, Hye -Sook, Casey, Daniel T., Cavallo, Robert M., Clark, Daniel S., Huntington, Channing M., Kuranz, Carolyn C., Miles, Aaron R., Nagel, Sabrina R., Raman, Kumar S., and Smalyuk, Vladimir A. Rayleigh–Taylor instabilities in high-energy density settings on the National Ignition Facility. United States: N. p., 2018.
Web. doi:10.1073/pnas.1717236115.
Remington, Bruce A., Park, Hye -Sook, Casey, Daniel T., Cavallo, Robert M., Clark, Daniel S., Huntington, Channing M., Kuranz, Carolyn C., Miles, Aaron R., Nagel, Sabrina R., Raman, Kumar S., & Smalyuk, Vladimir A. Rayleigh–Taylor instabilities in high-energy density settings on the National Ignition Facility. United States. doi:https://doi.org/10.1073/pnas.1717236115
Remington, Bruce A., Park, Hye -Sook, Casey, Daniel T., Cavallo, Robert M., Clark, Daniel S., Huntington, Channing M., Kuranz, Carolyn C., Miles, Aaron R., Nagel, Sabrina R., Raman, Kumar S., and Smalyuk, Vladimir A. Tue .
"Rayleigh–Taylor instabilities in high-energy density settings on the National Ignition Facility". United States. doi:https://doi.org/10.1073/pnas.1717236115. https://www.osti.gov/servlets/purl/1479084.
@article{osti_1479084,
title = {Rayleigh–Taylor instabilities in high-energy density settings on the National Ignition Facility},
author = {Remington, Bruce A. and Park, Hye -Sook and Casey, Daniel T. and Cavallo, Robert M. and Clark, Daniel S. and Huntington, Channing M. and Kuranz, Carolyn C. and Miles, Aaron R. and Nagel, Sabrina R. and Raman, Kumar S. and Smalyuk, Vladimir A.},
abstractNote = {Here, the Rayleigh–Taylor (RT) instability occurs at an interface between two fluids of differing density during an acceleration. These instabilities can occur in very diverse settings, from inertial confinement fusion (ICF) implosions over spatial scales of ~10–3 – 10–1 cm (10–1,000 μm) to supernova explosions at spatial scales of ~1012 cm and larger. We describe experiments and techniques for reducing (“stabilizing”) RT growth in high-energy density (HED) settings on the National Ignition Facility (NIF) at Lawrence Livermore National Laboratory. Three unique regimes of stabilization are described: (i) at an ablation front, (ii) behind a radiative shock, and (iii) due to material strength. For comparison, we also show results from nonstabilized “classical” RT instability evolution in HED regimes on the NIF. Examples from experiments on the NIF in each regime are given. These phenomena also occur in several astrophysical scenarios and planetary science.},
doi = {10.1073/pnas.1717236115},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 37,
volume = 116,
place = {United States},
year = {2018},
month = {6}
}
Web of Science
Works referenced in this record:
Progress towards ignition on the National Ignition Facility
journal, July 2013
- Edwards, M. J.; Patel, P. K.; Lindl, J. D.
- Physics of Plasmas, Vol. 20, Issue 7
Hydrodynamic instabilities in astrophysics and in laboratory high-energy–density systems
journal, November 2005
- Drake, R. P.
- Plasma Physics and Controlled Fusion, Vol. 47, Issue 12B
Reshocked Richtmyer-Meshkov instability: Numerical study and modeling of random multi-mode experiments
journal, August 2014
- Malamud, G.; Leinov, E.; Sadot, O.
- Physics of Fluids, Vol. 26, Issue 8
Analytic solutions for Rayleigh-Taylor growth rates in smooth density gradients
journal, August 1988
- Munro, David H.
- Physical Review A, Vol. 38, Issue 3
Self‐consistent stability analysis of ablation fronts with large Froude numbers
journal, April 1996
- Goncharov, V. N.; Betti, R.; McCrory, R. L.
- Physics of Plasmas, Vol. 3, Issue 4
Experimental results of radiation-driven, layered deuterium-tritium implosions with adiabat-shaped drives at the National Ignition Facility
journal, October 2016
- Smalyuk, V. A.; Robey, H. F.; Döppner, T.
- Physics of Plasmas, Vol. 23, Issue 10
Stabilization of high-compression, indirect-drive inertial confinement fusion implosions using a 4-shock adiabat-shaped drive
journal, August 2015
- MacPhee, A. G.; Peterson, J. L.; Casey, D. T.
- Physics of Plasmas, Vol. 22, Issue 8
Three-dimensional Rayleigh-Taylor instability Part 2. Experiment
journal, February 1988
- Jacobs, J. W.; Catton, I.
- Journal of Fluid Mechanics, Vol. 187
Supernova 1987A
journal, September 1989
- Arnett, W. David; Bahcall, John N.; Kirshner, Robert P.
- Annual Review of Astronomy and Astrophysics, Vol. 27, Issue 1
Astrophysically relevant radiation hydrodynamics experiment at the National Ignition Facility
journal, April 2011
- Kuranz, C. C.; Park, H. -S.; Remington, B. A.
- Astrophysics and Space Science, Vol. 336, Issue 1
Self‐consistent stability analysis of ablation fronts with small Froude numbers
journal, December 1996
- Goncharov, V. N.; Betti, R.; McCrory, R. L.
- Physics of Plasmas, Vol. 3, Issue 12
Three-dimensional Rayleigh-Taylor instability Part 1. Weakly nonlinear theory
journal, February 1988
- Jacobs, J. W.; Catton, I.
- Journal of Fluid Mechanics, Vol. 187
Initial performance results of the OMEGA laser system
journal, January 1997
- Boehly, T. R.; Brown, D. L.; Craxton, R. S.
- Optics Communications, Vol. 133, Issue 1-6
Self-consistent Analytical Model of the Rayleigh-Taylor Instability in Inertial Confinement Fusion
journal, November 1994
- Sanz, J.
- Physical Review Letters, Vol. 73, Issue 20
Temperature measurements of shock-compressed liquid hydrogen: implications for the interior of Jupiter
journal, September 1995
- Nellis, W.; Ross, M.; Holmes, N.
- Science, Vol. 269, Issue 5228
How high energy fluxes may affect Rayleigh–Taylor instability growth in young supernova remnants
journal, April 2018
- Kuranz, C. C.; Park, H. -S.; Huntington, C. M.
- Nature Communications, Vol. 9, Issue 1
Nonlinear free-surface Rayleigh-Taylor instability
journal, March 1986
- Kull, H. J.
- Physical Review A, Vol. 33, Issue 3
Rayleigh-Taylor Instability and Laser-Pellet Fusion
journal, September 1974
- Bodner, Stephen E.
- Physical Review Letters, Vol. 33, Issue 13
Tailored ramp-loading via shock release of stepped-density reservoirs
journal, May 2012
- Prisbrey, Shon T.; Park, Hye-Sook; Remington, Bruce A.
- Physics of Plasmas, Vol. 19, Issue 5
Equilibration in the aftermath of the lunar-forming giant impact
journal, October 2007
- Pahlevan, Kaveh; Stevenson, David J.
- Earth and Planetary Science Letters, Vol. 262, Issue 3-4
Reduced instability growth with high-adiabat high-foot implosions at the National Ignition Facility
journal, July 2014
- Casey, D. T.; Smalyuk, V. A.; Raman, K. S.
- Physical Review E, Vol. 90, Issue 1
Self-consistent growth rate of the Rayleigh–Taylor instability in an ablatively accelerating plasma
journal, January 1985
- Takabe, H.; Mima, K.; Montierth, L.
- Physics of Fluids, Vol. 28, Issue 12
A multiscale strength model for extreme loading conditions
journal, April 2011
- Barton, N. R.; Bernier, J. V.; Becker, R.
- Journal of Applied Physics, Vol. 109, Issue 7
Mix and hydrodynamic instabilities on NIF
journal, June 2017
- Smalyuk, V. A.; Robey, H. F.; Casey, D. T.
- Journal of Instrumentation, Vol. 12, Issue 06
Development of the CD Symcap platform to study gas-shell mix in implosions at the National Ignition Facility
journal, September 2014
- Casey, D. T.; Smalyuk, V. A.; Tipton, R. E.
- Physics of Plasmas, Vol. 21, Issue 9
Three-Dimensional Design Simulations of a High-Energy Density Reshock Experiment at the National Ignition Facility
journal, December 2017
- Wang, Ping; Raman, Kumar S.; MacLaren, Stephan A.
- Journal of Fluids Engineering, Vol. 140, Issue 4
An in-flight radiography platform to measure hydrodynamic instability growth in inertial confinement fusion capsules at the National Ignition Facility
journal, July 2014
- Raman, K. S.; Smalyuk, V. A.; Casey, D. T.
- Physics of Plasmas, Vol. 21, Issue 7
The Evolution and Explosion of Massive Stars. II. Explosive Hydrodynamics and Nucleosynthesis
journal, November 1995
- Woosley, S. E.; Weaver, Thomas A.
- The Astrophysical Journal Supplement Series, Vol. 101
Self‐consistent cutoff wave number of the ablative Rayleigh–Taylor instability
journal, October 1995
- Betti, R.; Goncharov, V. N.; McCrory, R. L.
- Physics of Plasmas, Vol. 2, Issue 10
Three-dimensional simulations of low foot and high foot implosion experiments on the National Ignition Facility
journal, March 2016
- Clark, D. S.; Weber, C. R.; Milovich, J. L.
- Physics of Plasmas, Vol. 23, Issue 5
High-Adiabat High-Foot Inertial Confinement Fusion Implosion Experiments on the National Ignition Facility
journal, February 2014
- Park, H. -S.; Hurricane, O. A.; Callahan, D. A.
- Physical Review Letters, Vol. 112, Issue 5
First Measurements of Hydrodynamic Instability Growth in Indirectly Driven Implosions at Ignition-Relevant Conditions on the National Ignition Facility
journal, May 2014
- Smalyuk, V. A.; Casey, D. T.; Clark, D. S.
- Physical Review Letters, Vol. 112, Issue 18
Weakly nonlinear hydrodynamic instabilities in inertial fusion
journal, August 1991
- Haan, S. W.
- Physics of Fluids B: Plasma Physics, Vol. 3, Issue 8
An origin for short γ-ray bursts unassociated with current star formation
journal, December 2005
- Barthelmy, S. D.; Chincarini, G.; Burrows, D. N.
- Nature, Vol. 438, Issue 7070
What is certain and what is not so certain in our knowledge of Rayleigh–Taylor mixing?
journal, November 2013
- Anisimov, Sergei I.; Drake, R. Paul; Gauthier, Serge
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2003
The role of hot spot mix in the low-foot and high-foot implosions on the NIF
journal, May 2017
- Ma, T.; Patel, P. K.; Izumi, N.
- Physics of Plasmas, Vol. 24, Issue 5
Acceleration and turbulence in Rayleigh–Taylor mixing
journal, November 2013
- Sreenivasan, Katepalli R.; Abarzhi, Snezhana I.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2003
Review of theoretical modelling approaches of Rayleigh–Taylor instabilities and turbulent mixing
journal, April 2010
- Abarzhi, Snezhana I.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 368, Issue 1916
Hot-Spot Mix in Ignition-Scale Inertial Confinement Fusion Targets
journal, July 2013
- Regan, S. P.; Epstein, R.; Hammel, B. A.
- Physical Review Letters, Vol. 111, Issue 4
Measurement of Hydrodynamic Growth near Peak Velocity in an Inertial Confinement Fusion Capsule Implosion using a Self-Radiography Technique
journal, July 2016
- Pickworth, L. A.; Hammel, B. A.; Smalyuk, V. A.
- Physical Review Letters, Vol. 117, Issue 3
Taylor instability in solids
journal, February 1974
- Barnes, John F.; Blewett, Patrick J.; McQueen, Robert G.
- Journal of Applied Physics, Vol. 45, Issue 2
Basic hydrodynamics of Richtmyer–Meshkov-type growth and oscillations in the inertial confinement fusion-relevant conditions
journal, April 2010
- Aglitskiy, Y.; Velikovich, A. L.; Karasik, M.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 368, Issue 1916
Improving ICF implosion performance with alternative capsule supports
journal, May 2017
- Weber, C. R.; Casey, D. T.; Clark, D. S.
- Physics of Plasmas, Vol. 24, Issue 5
Material dynamics under extreme conditions of pressure and strain rate
journal, April 2006
- Remington, B. A.; Allen, P.; Bringa, E. M.
- Materials Science and Technology, Vol. 22, Issue 4
Publisher's Note: X-ray shadow imprint of hydrodynamic instabilities on the surface of inertial confinement fusion capsules by the fuel fill tube [Phys. Rev. E 95, 031204(R) (2017)]
journal, June 2017
- MacPhee, A. G.; Casey, D. T.; Clark, D. S.
- Physical Review E, Vol. 95, Issue 6
Description of the NIF Laser
journal, February 2016
- Spaeth, M. L.; Manes, K. R.; Kalantar, D. H.
- Fusion Science and Technology, Vol. 69, Issue 1
The high-foot implosion campaign on the National Ignition Facility
journal, May 2014
- Hurricane, O. A.; Callahan, D. A.; Casey, D. T.
- Physics of Plasmas, Vol. 21, Issue 5
A platform for studying the Rayleigh–Taylor and Richtmyer–Meshkov instabilities in a planar geometry at high energy density at the National Ignition Facility
journal, July 2017
- Nagel, S. R.; Raman, K. S.; Huntington, C. M.
- Physics of Plasmas, Vol. 24, Issue 7
A constitutive model for strain rates from 10 − 4 to 10 6 s − 1
journal, February 1989
- Steinberg, D. J.; Lund, C. M.
- Journal of Applied Physics, Vol. 65, Issue 4
Validating hydrodynamic growth in National Ignition Facility implosionsa)
journal, May 2015
- Peterson, J. L.; Casey, D. T.; Hurricane, O. A.
- Physics of Plasmas, Vol. 22, Issue 5
Large eddy simulation and ALE mesh motion in Rayleigh–Taylor instability simulation
journal, April 2002
- Darlington, Rebecca M.; McAbee, Thomas L.; Rodrigue, Garry
- Computer Physics Communications, Vol. 144, Issue 3
Grain-Size-Independent Plastic Flow at Ultrahigh Pressures and Strain Rates
journal, February 2015
- Park, H. -S.; Rudd, R. E.; Cavallo, R. M.
- Physical Review Letters, Vol. 114, Issue 6
A constitutive model for metals applicable at high‐strain rate
journal, March 1980
- Steinberg, D. J.; Cochran, S. G.; Guinan, M. W.
- Journal of Applied Physics, Vol. 51, Issue 3
Mass‐Radius Relationships for Solid Exoplanets
journal, November 2007
- Seager, S.; Kuchner, M.; Hier‐Majumder, C. A.
- The Astrophysical Journal, Vol. 669, Issue 2
Comprehensive Diagnosis of Growth Rates of the Ablative Rayleigh-Taylor Instability
journal, January 2007
- Azechi, H.; Sakaiya, T.; Fujioka, S.
- Physical Review Letters, Vol. 98, Issue 4
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
Particle Acceleration on Megaparsec Scales in a Merging Galaxy Cluster
journal, September 2010
- van Weeren, R. J.; Rottgering, H. J. A.; Bruggen, M.
- Science, Vol. 330, Issue 6002
Turbulent mixing of metal and silicate during planet accretion — And interpretation of the Hf–W chronometer
journal, June 2010
- Dahl, Tais W.; Stevenson, David J.
- Earth and Planetary Science Letters, Vol. 295, Issue 1-2
The structure of terrestrial bodies: Impact heating, corotation limits, and synestias: THE STRUCTURE OF TERRESTRIAL BODIES
journal, May 2017
- Lock, Simon J.; Stewart, Sarah T.
- Journal of Geophysical Research: Planets, Vol. 122, Issue 5
Design of experiments to observe radiation stabilized Rayleigh-Taylor instability growth at an embedded decelerating interface
journal, November 2011
- Huntington, C. M.; Kuranz, C. C.; Drake, R. P.
- Physics of Plasmas, Vol. 18, Issue 11
Onset of nonlinear saturation for Rayleigh-Taylor growth in the presence of a full spectrum of modes
journal, June 1989
- Haan, Steven W.
- Physical Review A, Vol. 39, Issue 11
Model of plastic deformation for extreme loading conditions
journal, January 2003
- Preston, Dean L.; Tonks, Davis L.; Wallace, Duane C.
- Journal of Applied Physics, Vol. 93, Issue 1
Measurements of an Ablator-Gas Atomic Mix in Indirectly Driven Implosions at the National Ignition Facility
journal, January 2014
- Smalyuk, V. A.; Tipton, R. E.; Pino, J. E.
- Physical Review Letters, Vol. 112, Issue 2
Mission to Earth's core — a modest proposal
journal, May 2003
- Stevenson, David J.
- Nature, Vol. 423, Issue 6937
National Ignition Facility laser performance status
journal, January 2007
- Haynam, C. A.; Wegner, P. J.; Auerbach, J. M.
- Applied Optics, Vol. 46, Issue 16
Improved Performance of High Areal Density Indirect Drive Implosions at the National Ignition Facility using a Four-Shock Adiabat Shaped Drive
journal, September 2015
- Casey, D. T.; Milovich, J. L.; Smalyuk, V. A.
- Physical Review Letters, Vol. 115, Issue 10
Works referencing / citing this record:
The modeling of delayed-onset Rayleigh-Taylor and transition to mixing in laser-driven HED experiments
journal, May 2019
- Di Stefano, C. A.; Doss, F. W.; Rasmus, A. M.
- Physics of Plasmas, Vol. 26, Issue 5
Turbulent mixing and transition criteria of flows induced by hydrodynamic instabilities
journal, August 2019
- Zhou, Ye; Clark, Timothy T.; Clark, Daniel S.
- Physics of Plasmas, Vol. 26, Issue 8
Interfaces and mixing: Nonequilibrium transport across the scales
journal, September 2019
- Abarzhi, Snezhana I.; Goddard, William A.
- Proceedings of the National Academy of Sciences, Vol. 116, Issue 37