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

Title: Rayleigh-Taylor mixing in supernova experiments

Abstract

Here, we report a scrupulous analysis of data in supernova experiments that are conducted at high power laser facilities in order to study core-collapse supernova SN1987A. Parameters of the experimental system are properly scaled to investigate the interaction of a blast-wave with helium-hydrogen interface, and the induced Rayleigh-Taylor instability and Rayleigh-Taylor mixing of the denser and lighter fluids with time-dependent acceleration. We analyze all available experimental images of the Rayleigh-Taylor flow in supernova experiments and measure delicate features of the interfacial dynamics. A new scaling is identified for calibration of experimental data to enable their accurate analysis and comparisons. By properly accounting for the imprint of the experimental conditions, the data set size and statistics are substantially increased. New theoretical solutions are reported to describe asymptotic dynamics of Rayleigh-Taylor flow with time-dependent acceleration by applying theoretical analysis that considers symmetries and momentum transport. Good qualitative and quantitative agreement is achieved of the experimental data with the theory and simulations. Our study indicates that in supernova experiments Rayleigh-Taylor flow is in the mixing regime, the interface amplitude contributes substantially to the characteristic length scale for energy dissipation; Rayleigh-Taylor mixing keeps order.

Authors:
ORCiD logo [1];  [2];  [3];  [4]; ORCiD logo [4];  [4];  [1]
  1. Carnegie Mellon Univ., Pittsburgh, PA (United States)
  2. Univ. of Michigan, Ann Arbor, MI (United States)
  3. Univ. of Arizona, Tucson, AZ (United States)
  4. Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
Publication Date:
Research Org.:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1460066
Report Number(s):
LLNL-JRNL-734918
Journal ID: ISSN 1070-664X; 887086; TRN: US1901830
Grant/Contract Number:  
AC52-07NA27344
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 22; Journal Issue: 10; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Swisher, N. C., Kuranz, C. C., Arnett, D., Hurricane, O., Remington, B. A., Robey, H. F., and Abarzhi, S. I. Rayleigh-Taylor mixing in supernova experiments. United States: N. p., 2015. Web. doi:10.1063/1.4931927.
Swisher, N. C., Kuranz, C. C., Arnett, D., Hurricane, O., Remington, B. A., Robey, H. F., & Abarzhi, S. I. Rayleigh-Taylor mixing in supernova experiments. United States. https://doi.org/10.1063/1.4931927
Swisher, N. C., Kuranz, C. C., Arnett, D., Hurricane, O., Remington, B. A., Robey, H. F., and Abarzhi, S. I. Tue . "Rayleigh-Taylor mixing in supernova experiments". United States. https://doi.org/10.1063/1.4931927. https://www.osti.gov/servlets/purl/1460066.
@article{osti_1460066,
title = {Rayleigh-Taylor mixing in supernova experiments},
author = {Swisher, N. C. and Kuranz, C. C. and Arnett, D. and Hurricane, O. and Remington, B. A. and Robey, H. F. and Abarzhi, S. I.},
abstractNote = {Here, we report a scrupulous analysis of data in supernova experiments that are conducted at high power laser facilities in order to study core-collapse supernova SN1987A. Parameters of the experimental system are properly scaled to investigate the interaction of a blast-wave with helium-hydrogen interface, and the induced Rayleigh-Taylor instability and Rayleigh-Taylor mixing of the denser and lighter fluids with time-dependent acceleration. We analyze all available experimental images of the Rayleigh-Taylor flow in supernova experiments and measure delicate features of the interfacial dynamics. A new scaling is identified for calibration of experimental data to enable their accurate analysis and comparisons. By properly accounting for the imprint of the experimental conditions, the data set size and statistics are substantially increased. New theoretical solutions are reported to describe asymptotic dynamics of Rayleigh-Taylor flow with time-dependent acceleration by applying theoretical analysis that considers symmetries and momentum transport. Good qualitative and quantitative agreement is achieved of the experimental data with the theory and simulations. Our study indicates that in supernova experiments Rayleigh-Taylor flow is in the mixing regime, the interface amplitude contributes substantially to the characteristic length scale for energy dissipation; Rayleigh-Taylor mixing keeps order.},
doi = {10.1063/1.4931927},
journal = {Physics of Plasmas},
number = 10,
volume = 22,
place = {United States},
year = {Tue Oct 20 00:00:00 EDT 2015},
month = {Tue Oct 20 00:00:00 EDT 2015}
}

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

Citation Metrics:
Cited by: 40 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

The mixing transition in turbulent flows
journal, April 2000


Fluid turbulence
journal, March 1999


Experimental astrophysics with high power lasers and Z pinches
journal, August 2006

  • Remington, Bruce A.; Drake, R. Paul; Ryutov, Dmitri D.
  • Reviews of Modern Physics, Vol. 78, Issue 3
  • DOI: 10.1103/RevModPhys.78.755

Phenomenology of Rayleigh-Taylor Turbulence
journal, September 2003


The mechanics of large bubbles rising through extended liquids and through liquids in tubes
journal, February 1950

  • Davies, R. M.; Taylor, Geoffrey Ingram
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 200, Issue 1062, p. 375-390
  • DOI: 10.1098/rspa.1950.0023

A comparative study of approaches for modeling Rayleigh–Taylor turbulent mixing
journal, December 2010


Rayleigh–Taylor and Richtmyer–Meshkov instabilities for fluids with a finite density ratio
journal, October 2003


Multiscale character of the nonlinear coherent dynamics in the Rayleigh-Taylor instability
journal, March 2006


Three-dimensional blast-wave-driven Rayleigh–Taylor instability and the effects of long-wavelength modes
journal, May 2009

  • Kuranz, C. C.; Drake, R. P.; Grosskopf, M. J.
  • Physics of Plasmas, Vol. 16, Issue 5
  • DOI: 10.1063/1.3099320

Some peculiar features of hydrodynamic instability development
journal, November 2013

  • Meshkov, E.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2003
  • DOI: 10.1098/rsta.2012.0288

Turbulent Convection in Stellar Interiors. I. Hydrodynamic Simulation
journal, September 2007

  • Meakin, Casey A.; Arnett, David
  • The Astrophysical Journal, Vol. 667, Issue 1
  • DOI: 10.1086/520318

Stable Steady Flows in Rayleigh-Taylor Instability
journal, July 1998


Spanwise homogeneous buoyancy-drag model for Rayleigh–Taylor mixing and experimental evaluation
journal, June 2000


Ultrashort shock waves in nickel induced by femtosecond laser pulses
journal, February 2013


The physics of fast Z pinches
journal, January 2000


On fundamentals of Rayleigh-Taylor turbulent mixing
journal, August 2010


Spike morphology in blast-wave-driven instability experiments
journal, May 2010

  • Kuranz, C. C.; Drake, R. P.; Grosskopf, M. J.
  • Physics of Plasmas, Vol. 17, Issue 5
  • DOI: 10.1063/1.3389135

Scale coupling in Richtmyer-Meshkov flows induced by strong shocks
journal, August 2012

  • Stanic, M.; Stellingwerf, R. F.; Cassibry, J. T.
  • Physics of Plasmas, Vol. 19, Issue 8
  • DOI: 10.1063/1.4744986

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
  • DOI: 10.1098/rsta.2013.0266

Turbulent mixing and beyond: non-equilibrium processes from atomistic to astrophysical scales II
journal, November 2013

  • Abarzhi, S. I.; Gauthier, S.; Sreenivasan, K. R.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 371, Issue 2003
  • DOI: 10.1098/rsta.2013.0268

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
  • DOI: 10.1098/rsta.2010.0020

Rayleigh–Taylor turbulent mixing of immiscible, miscible and stratified fluids
journal, August 2005

  • Abarzhi, S. I.; Gorobets, A.; Sreenivasan, K. R.
  • Physics of Fluids, Vol. 17, Issue 8
  • DOI: 10.1063/1.2009027

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
  • DOI: 10.1098/rsta.2013.0267

The Criterion for Turbulence in Curved Pipes
journal, June 1929

  • Taylor, G. I.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 124, Issue 794
  • DOI: 10.1098/rspa.1929.0111

Nonlinear mixing behavior of the three-dimensional Rayleigh–Taylor instability at a decelerating interface
journal, May 2004

  • Drake, R. P.; Leibrandt, D. R.; Harding, E. C.
  • Physics of Plasmas, Vol. 11, Issue 5
  • DOI: 10.1063/1.1651492

Two-Zone Elastic-Plastic Single Shock Waves in Solids
journal, September 2011


High-mode Rayleigh-Taylor growth in NIF ignition capsules
journal, June 2010


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
  • DOI: 10.1063/1.4874330

Similarity Criteria for the Laboratory Simulation of Supernova Hydrodynamics
journal, June 1999

  • Ryutov, D.; Drake, R. P.; Kane, J.
  • The Astrophysical Journal, Vol. 518, Issue 2
  • DOI: 10.1086/307293

An experimental testbed for the study of hydrodynamic issues in supernovae
journal, May 2001

  • Robey, H. F.; Kane, J. O.; Remington, B. A.
  • Physics of Plasmas, Vol. 8, Issue 5
  • DOI: 10.1063/1.1352594

Power Laws and Similarity of Rayleigh-Taylor and Richtmyer-Meshkov Mixing Fronts at All Density Ratios
journal, January 1995


Perspectives on high-energy-density physics
journal, May 2009


Turbulent Convection in Stellar Interiors. ii. the Velocity Field
journal, December 2008


Chaotic mixing as a renormalization-group fixed point
journal, April 1990


The upgrade to the OMEGA laser system
journal, January 1995

  • Boehly, T. R.; Craxton, R. S.; Hinterman, T. H.
  • Review of Scientific Instruments, Vol. 66, Issue 1
  • DOI: 10.1063/1.1146333

Structure of the turbulent mixing zone on the boundary of two gases accelerated by a shock wave
journal, January 1990

  • Meshkov, E. E.; Nikiforov, V. V.; Tolshmyakov, A. I.
  • Combustion, Explosion, and Shock Waves, Vol. 26, Issue 3
  • DOI: 10.1007/BF00751371

Relaminarization in highly accelerated turbulent boundary layers
journal, November 1973


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

Instability of the interface of two gases accelerated by a shock wave
journal, January 1972


Reynolds number effects on Rayleigh–Taylor instability with possible implications for type Ia supernovae
journal, July 2006

  • Cabot, William H.; Cook, Andrew W.
  • Nature Physics, Vol. 2, Issue 8
  • DOI: 10.1038/nphys361

Application of high-power lasers to study matter at ultrahigh pressures [Primenenie moshchnykh lazerov dlya issledovaniya veshchestva pri sverkhvysokikh davleniyakh]
journal, January 1984


The time scale for the transition to turbulence in a high Reynolds number, accelerated flow
journal, March 2003

  • Robey, H. F.; Zhou, Ye; Buckingham, A. C.
  • Physics of Plasmas, Vol. 10, Issue 3
  • DOI: 10.1063/1.1534584

Two-Dimensional Blast-Wave-Driven Rayleigh-Taylor Instability: Experiment and Simulation
journal, April 2009


Taylor instability in shock acceleration of compressible fluids
journal, May 1960

  • Richtmyer, Robert D.
  • Communications on Pure and Applied Mathematics, Vol. 13, Issue 2
  • DOI: 10.1002/cpa.3160130207

Short-wavelength and three-dimensional instability evolution in National Ignition Facility ignition capsule designs
journal, August 2011

  • Clark, D. S.; Haan, S. W.; Cook, A. W.
  • Physics of Plasmas, Vol. 18, Issue 8
  • DOI: 10.1063/1.3609834

HYADES—A plasma hydrodynamics code for dense plasma studies
journal, January 1994

  • Larsen, Jon T.; Lane, Stephen M.
  • Journal of Quantitative Spectroscopy and Radiative Transfer, Vol. 51, Issue 1-2
  • DOI: 10.1016/0022-4073(94)90078-7

Application of high-power lasers to study matter at ultrahigh pressures
journal, March 1984


Works referencing / citing this record:

Nonlinear Rayleigh–Taylor instability with horizontal magnetic field
journal, June 2019


Subdiffusive and superdiffusive transport in plane steady viscous flows
journal, March 2018

  • Zaks, Michael A.; Nepomnyashchy, Alexander
  • Proceedings of the National Academy of Sciences, Vol. 116, Issue 37
  • DOI: 10.1073/pnas.1717225115

On the Rayleigh-Taylor unstable dynamics of three-dimensional interfacial coherent structures with time-dependent acceleration
journal, July 2019

  • Hill, Desmond L.; Abarzhi, Snezhana I.
  • AIP Advances, Vol. 9, Issue 7
  • DOI: 10.1063/1.5116870

Rayleigh-Taylor instability experiments on the LULI2000 laser in scaled conditions for young supernova remnants
journal, August 2019


Scaling laws for dynamical plasma phenomena
journal, October 2018