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

Title: Studying the Richtmyer–Meshkov instability in convergent geometry under high energy density conditions using the Decel platform

Abstract

The “Decel” platform at Sandia National Laboratories investigates the Richtmyer–Meshkov instability (RMI) in converging geometry under high energy density conditions [Knapp et al., Phys. Plasmas 27, 092707 (2020)]. In Decel, the Z machine magnetically implodes a cylindrical beryllium liner filled with liquid deuterium, launching a converging shock toward an on-axis beryllium rod machined with sinusoidal perturbations. The passage of the shock deposits vorticity along the Be/D2 interface, causing the perturbations to grow. Here, we present platform improvements along with recent experimental results. To improve the stability of the imploding liner to the magneto Rayleigh–Taylor instability, we modified its acceleration history by shortening the Z electrical current pulse. Next, we introduce a “split rod” configuration that allows two axial modes to be fielded simultaneously in different axial locations along the rod, doubling our data per experiment. We then demonstrate that asymmetric slots in the return current structure modify the magnetic drive pressure on the surface of the liner, advancing the evolution on one side of the rod by multiple ns compared to its 180° counterpart. This effectively enables two snapshots of the instability at different stages of evolution per radiograph with small deviations of the cross-sectional profile of the rod frommore » the circular. Using this platform, we acquired RMI data at 272 and 157 μm wavelengths during the single shock stage. Finally, we demonstrate the utility of these data for benchmarking simulations by comparing calculations using ALEGRA MHD and RageRunner.« less

Authors:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [2];  [1]; ORCiD logo [1];  [1];  [1];  [1];  [1]; ORCiD logo [1];  [1]; ORCiD logo [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Programs (DP)
OSTI Identifier:
1881819
Alternate Identifier(s):
OSTI ID: 1870043; OSTI ID: 1877159
Report Number(s):
LA-UR-21-32355; SAND2022-9251J
Journal ID: ISSN 1070-664X; TRN: US2307868
Grant/Contract Number:  
89233218CNA000001; NA0003525
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 29; Journal Issue: 5; 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; plasma physics; high energy density physics; hydrodynamics

Citation Formats

Yager-Elorriaga, David A., Doss, Forrest W., Shipley, Gabriel A., Knapp, Patrick F., Ruiz, Daniel E., Porwitzky, Andrew J., Fein, Jeffrey R., Merritt, Elizabeth Catherine, Martin, Matthew R., Myers, Clayton E., Jennings, Christopher A., Smith, I. C., Marshall, Dustin J., Aragon, C. R., Shulenburger, Luke, Mattsson, T. R., and Sinars, Daniel B. Studying the Richtmyer–Meshkov instability in convergent geometry under high energy density conditions using the Decel platform. United States: N. p., 2022. Web. doi:10.1063/5.0087215.
Yager-Elorriaga, David A., Doss, Forrest W., Shipley, Gabriel A., Knapp, Patrick F., Ruiz, Daniel E., Porwitzky, Andrew J., Fein, Jeffrey R., Merritt, Elizabeth Catherine, Martin, Matthew R., Myers, Clayton E., Jennings, Christopher A., Smith, I. C., Marshall, Dustin J., Aragon, C. R., Shulenburger, Luke, Mattsson, T. R., & Sinars, Daniel B. Studying the Richtmyer–Meshkov instability in convergent geometry under high energy density conditions using the Decel platform. United States. https://doi.org/10.1063/5.0087215
Yager-Elorriaga, David A., Doss, Forrest W., Shipley, Gabriel A., Knapp, Patrick F., Ruiz, Daniel E., Porwitzky, Andrew J., Fein, Jeffrey R., Merritt, Elizabeth Catherine, Martin, Matthew R., Myers, Clayton E., Jennings, Christopher A., Smith, I. C., Marshall, Dustin J., Aragon, C. R., Shulenburger, Luke, Mattsson, T. R., and Sinars, Daniel B. Thu . "Studying the Richtmyer–Meshkov instability in convergent geometry under high energy density conditions using the Decel platform". United States. https://doi.org/10.1063/5.0087215. https://www.osti.gov/servlets/purl/1881819.
@article{osti_1881819,
title = {Studying the Richtmyer–Meshkov instability in convergent geometry under high energy density conditions using the Decel platform},
author = {Yager-Elorriaga, David A. and Doss, Forrest W. and Shipley, Gabriel A. and Knapp, Patrick F. and Ruiz, Daniel E. and Porwitzky, Andrew J. and Fein, Jeffrey R. and Merritt, Elizabeth Catherine and Martin, Matthew R. and Myers, Clayton E. and Jennings, Christopher A. and Smith, I. C. and Marshall, Dustin J. and Aragon, C. R. and Shulenburger, Luke and Mattsson, T. R. and Sinars, Daniel B.},
abstractNote = {The “Decel” platform at Sandia National Laboratories investigates the Richtmyer–Meshkov instability (RMI) in converging geometry under high energy density conditions [Knapp et al., Phys. Plasmas 27, 092707 (2020)]. In Decel, the Z machine magnetically implodes a cylindrical beryllium liner filled with liquid deuterium, launching a converging shock toward an on-axis beryllium rod machined with sinusoidal perturbations. The passage of the shock deposits vorticity along the Be/D2 interface, causing the perturbations to grow. Here, we present platform improvements along with recent experimental results. To improve the stability of the imploding liner to the magneto Rayleigh–Taylor instability, we modified its acceleration history by shortening the Z electrical current pulse. Next, we introduce a “split rod” configuration that allows two axial modes to be fielded simultaneously in different axial locations along the rod, doubling our data per experiment. We then demonstrate that asymmetric slots in the return current structure modify the magnetic drive pressure on the surface of the liner, advancing the evolution on one side of the rod by multiple ns compared to its 180° counterpart. This effectively enables two snapshots of the instability at different stages of evolution per radiograph with small deviations of the cross-sectional profile of the rod from the circular. Using this platform, we acquired RMI data at 272 and 157 μm wavelengths during the single shock stage. Finally, we demonstrate the utility of these data for benchmarking simulations by comparing calculations using ALEGRA MHD and RageRunner.},
doi = {10.1063/5.0087215},
journal = {Physics of Plasmas},
number = 5,
volume = 29,
place = {United States},
year = {Thu May 26 00:00:00 EDT 2022},
month = {Thu May 26 00:00:00 EDT 2022}
}

Works referenced in this record:

An overview of magneto-inertial fusion on the Z machine at Sandia National Laboratories
journal, February 2022


Supernova, nuclear synthesis, fluid instabilities, and interfacial mixing
journal, November 2018

  • Abarzhi, Snezhana I.; Bhowmick, Aklant K.; Naveh, Annie
  • Proceedings of the National Academy of Sciences, Vol. 116, Issue 37
  • DOI: 10.1073/pnas.1714502115

Postponement of Saturation of the Richtmyer-Meshkov Instability in a Convergent Geometry
journal, September 2004


Accuracy and precision in photonic Doppler velocimetry
journal, May 2010

  • Dolan, D. H.
  • Review of Scientific Instruments, Vol. 81, Issue 5
  • DOI: 10.1063/1.3429257

Measurements of magneto-Rayleigh–Taylor instability growth during the implosion of initially solid metal liners
journal, May 2011

  • Sinars, D. B.; Slutz, S. A.; Herrmann, M. C.
  • Physics of Plasmas, Vol. 18, Issue 5
  • DOI: 10.1063/1.3560911

Late-time mixing and turbulent behavior in high-energy-density shear experiments at high Atwood numbers
journal, May 2018

  • Flippo, K. A.; Doss, F. W.; Merritt, E. C.
  • Physics of Plasmas, Vol. 25, Issue 5
  • DOI: 10.1063/1.5027194

Development of new platforms for hydrodynamic instability and asymmetry measurements in deceleration phase of indirectly driven implosions on NIF
journal, August 2018

  • Pickworth, L. A.; Hammel, B. A.; Smalyuk, V. A.
  • Physics of Plasmas, Vol. 25, Issue 8
  • DOI: 10.1063/1.5039744

A platform for thin-layer Richtmyer-Meshkov at OMEGA and the NIF
journal, November 2019


The inductively driven transmission line: A passively coupled device for diagnostic applications on the Z pulsed power facility
journal, March 2021

  • Myers, Clayton E.; Lamppa, Derek C.; Jennings, Christopher A.
  • Review of Scientific Instruments, Vol. 92, Issue 3
  • DOI: 10.1063/5.0043810

How high energy fluxes may affect Rayleigh–Taylor instability growth in young supernova remnants
journal, April 2018


Some instabilities of a completely ionized plasma
journal, May 1954

  • Kruskal, Martin DAvid; Schwarzschild, Martin
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 223, Issue 1154, p. 348-360
  • DOI: 10.1098/rspa.1954.0120

Shock-driven discrete vortex evolution on a high-Atwood number oblique interface
journal, March 2018

  • Rasmus, A. M.; Di Stefano, C. A.; Flippo, K. A.
  • Physics of Plasmas, Vol. 25, Issue 3
  • DOI: 10.1063/1.5021800

A conservative approach to scaling magneto-inertial fusion concepts to larger pulsed-power drivers
journal, June 2020

  • Schmit, P. F.; Ruiz, D. E.
  • Physics of Plasmas, Vol. 27, Issue 6
  • DOI: 10.1063/1.5135716

Mix and hydrodynamic instabilities on NIF
journal, June 2017


A 7.2 keV spherical x-ray crystal backlighter for two-frame, two-color backlighting at Sandia’s Z Pulsed Power Facility
journal, October 2017

  • Schollmeier, M. S.; Knapp, P. F.; Ampleford, D. J.
  • Review of Scientific Instruments, Vol. 88, Issue 10
  • DOI: 10.1063/1.4994566

Foundations of VISAR analysis.
report, June 2006


Differential-output B -dot and D -dot monitors for current and voltage measurements on a 20-MA, 3-MV pulsed-power accelerator
journal, October 2008

  • Wagoner, T. C.; Stygar, W. A.; Ives, H. C.
  • Physical Review Special Topics - Accelerators and Beams, Vol. 11, Issue 10
  • DOI: 10.1103/PhysRevSTAB.11.100401

Richtmyer-Meshkov evolution under steady shock conditions in the high-energy-density regime
journal, March 2015

  • Di Stefano, C. A.; Malamud, G.; Kuranz, C. C.
  • Applied Physics Letters, Vol. 106, Issue 11
  • DOI: 10.1063/1.4915303

The Shock/Shear platform for planar radiation-hydrodynamics experiments on the National Ignition Facilitya)
journal, May 2015

  • Doss, F. W.; Kline, J. L.; Flippo, K. A.
  • Physics of Plasmas, Vol. 22, Issue 5
  • DOI: 10.1063/1.4918354

Analytic theory of Richtmyer–Meshkov instability for the case of reflected rarefaction wave
journal, June 1996

  • Velikovich, Alexander L.
  • Physics of Fluids, Vol. 8, Issue 6
  • DOI: 10.1063/1.868938

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


A novel, magnetically driven convergent Richtmyer–Meshkov platform
journal, September 2020

  • Knapp, P. F.; Martin, M. R.; Yager-Elorriaga, D.
  • Physics of Plasmas, Vol. 27, Issue 9
  • DOI: 10.1063/5.0013194

The physics of fast Z pinches
journal, January 2000


The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I
journal, March 1950

  • Taylor, Geoffrey Ingram
  • Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, Vol. 201, Issue 1065, p. 192-196
  • DOI: 10.1098/rspa.1950.0052

Rayleigh-Taylor instability in the asymmetric supernova explosion
journal, December 1991

  • Yamada, Shoichi; Sato, Katsuhiko
  • The Astrophysical Journal, Vol. 382
  • DOI: 10.1086/170746

High-Gain Magnetized Inertial Fusion
journal, January 2012


High-energy-density physics
journal, June 2010


Nonlinear Rayleigh–Taylor instabilities in fast Z pinches
journal, March 2009


X-ray generation mechanisms in three-dimensional simulations of wire array Z-pinches
journal, November 2004

  • Chittenden, J. P.; Lebedev, S. V.; Jennings, C. A.
  • Plasma Physics and Controlled Fusion, Vol. 46, Issue 12B
  • DOI: 10.1088/0741-3335/46/12B/039

The RAGE radiation-hydrodynamic code
journal, October 2008


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

Direct measurement of the inertial confinement time in a magnetically driven implosion
journal, April 2017

  • Knapp, P. F.; Martin, M. R.; Dolan, D. H.
  • Physics of Plasmas, Vol. 24, Issue 4
  • DOI: 10.1063/1.4981206

Accretion to magnetized stars through the Rayleigh–Taylor instability: global 3D simulations
journal, May 2008


Demonstration of Scale-Invariant Rayleigh-Taylor Instability Growth in Laser-Driven Cylindrical Implosion Experiments
journal, May 2020


Measurement of Richtmyer–Meshkov mode coupling under steady shock conditions and at high energy density
journal, December 2015


Rayleigh-Taylor Instabilities of a Collapsing Cylindrical Shell in a Magnetic Field
journal, January 1962