Numerical study of implosion instability mitigation in magnetically driven solid liner dynamic screw pinches
Abstract
Magnetized liner inertial fusion experiments on the Z accelerator suffer from magneto-Rayleigh–Taylor instabilities (MRTI) that compromise integrity of the imploding cylindrical liner, limiting achievable fusion fuel conditions and ultimately reducing magneto-inertial fusion target performance. Dynamic screw pinches (DSP) provide a method to reduce MRTI in-flight via application of magnetic field line tension to the imploding liner outer surface. In contrast with z-pinches that drive implosions with an azimuthal magnetic field, dynamic screw pinches enforce an additional axial drive magnetic field component, making the overall drive magnetic field helical. As the liner implodes, cumulative MRTI development is reduced by dynamically shifting the orientation of the fastest growing instability modes. Three-dimensional magnetohydrodynamic simulations show that the DSP mechanism effectively stabilizes initially solid cylindrical liner implosions driven by Z-scale current pulses, indicating that MRTI mitigation increases with the ratio of axial to azimuthal drive magnetic field components (i.e., the drive field ratio). We also performed a spectral analysis of the simulated imploding density distributions, extracting wavelength and pitch angle of the simulated MRTI structures to study their dynamics during the implosion. Simulations of liners initially perturbed with drive-field-aligned sinusoidal structures indicate that MRTI mitigation in DSP implosions decreases with perturbation wavelength, once againmore »
- Authors:
-
[1];
[1];
[1];
[2]
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 2333092
- Report Number(s):
- LLNL-JRNL-857023
Journal ID: ISSN 1070-664X; 1085992
- Grant/Contract Number:
- AC52-07NA27344; NA0003864; NA0003525
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 31; Journal Issue: 2; 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
Citation Formats
Shipley, G. A., Ruiz, D. E., Jennings, C. A., Yager-Elorriaga, D. A., and Schmit, P. F. Numerical study of implosion instability mitigation in magnetically driven solid liner dynamic screw pinches. United States: N. p., 2024.
Web. doi:10.1063/5.0189042.
Shipley, G. A., Ruiz, D. E., Jennings, C. A., Yager-Elorriaga, D. A., & Schmit, P. F. Numerical study of implosion instability mitigation in magnetically driven solid liner dynamic screw pinches. United States. https://doi.org/10.1063/5.0189042
Shipley, G. A., Ruiz, D. E., Jennings, C. A., Yager-Elorriaga, D. A., and Schmit, P. F. Tue .
"Numerical study of implosion instability mitigation in magnetically driven solid liner dynamic screw pinches". United States. https://doi.org/10.1063/5.0189042. https://www.osti.gov/servlets/purl/2333092.
@article{osti_2333092,
title = {Numerical study of implosion instability mitigation in magnetically driven solid liner dynamic screw pinches},
author = {Shipley, G. A. and Ruiz, D. E. and Jennings, C. A. and Yager-Elorriaga, D. A. and Schmit, P. F.},
abstractNote = {Magnetized liner inertial fusion experiments on the Z accelerator suffer from magneto-Rayleigh–Taylor instabilities (MRTI) that compromise integrity of the imploding cylindrical liner, limiting achievable fusion fuel conditions and ultimately reducing magneto-inertial fusion target performance. Dynamic screw pinches (DSP) provide a method to reduce MRTI in-flight via application of magnetic field line tension to the imploding liner outer surface. In contrast with z-pinches that drive implosions with an azimuthal magnetic field, dynamic screw pinches enforce an additional axial drive magnetic field component, making the overall drive magnetic field helical. As the liner implodes, cumulative MRTI development is reduced by dynamically shifting the orientation of the fastest growing instability modes. Three-dimensional magnetohydrodynamic simulations show that the DSP mechanism effectively stabilizes initially solid cylindrical liner implosions driven by Z-scale current pulses, indicating that MRTI mitigation increases with the ratio of axial to azimuthal drive magnetic field components (i.e., the drive field ratio). We also performed a spectral analysis of the simulated imploding density distributions, extracting wavelength and pitch angle of the simulated MRTI structures to study their dynamics during the implosion. Simulations of liners initially perturbed with drive-field-aligned sinusoidal structures indicate that MRTI mitigation in DSP implosions decreases with perturbation wavelength, once again suggestive of magnetic field line tension effects.},
doi = {10.1063/5.0189042},
journal = {Physics of Plasmas},
number = 2,
volume = 31,
place = {United States},
year = {Tue Feb 20 00:00:00 EST 2024},
month = {Tue Feb 20 00:00:00 EST 2024}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
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:
Seeding the Electrothermal Instability through a Three-Dimensional, Nonlinear Perturbation
journal, June 2023
- Yu, E. P.; Awe, T. J.; Cochrane, K. R.
- Physical Review Letters, Vol. 130, Issue 25
Stabilization of Liner Implosions via a Dynamic Screw Pinch
journal, July 2020
- Campbell, Paul C.; Jones, T. M.; Woolstrum, J. M.
- Physical Review Letters, Vol. 125, Issue 3
Electrode plasma formation and melt in
Z
journal, April 2023
- Bennett, N.; Welch, D. R.; Cochrane, K.
- Physical Review Accelerators and Beams, Vol. 26, Issue 4
Effect of axial magnetic flux compression on the magnetic Rayleigh-Taylor instability (theory)
conference, January 2014
- Ryutov, D. D.; Awe, T. J.; Hansen, S. B.
- 9TH INTERNATIONAL CONFERENCE ON DENSE Z PINCHES, AIP Conference Proceedings
Bell-Plesset effects in Rayleigh-Taylor instability of finite-thickness spherical and cylindrical shells
journal, December 2015
- Velikovich, A. L.; Schmit, P. F.
- Physics of Plasmas, Vol. 22, Issue 12
Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field
journal, May 2010
- Slutz, S. A.; Herrmann, M. C.; Vesey, R. A.
- Physics of Plasmas, Vol. 17, Issue 5
Controlling Rayleigh-Taylor Instabilities in Magnetically Driven Solid Metal Shells by Means of a Dynamic Screw Pinch
journal, November 2016
- Schmit, P. F.; Velikovich, A. L.; McBride, R. D.
- Physical Review Letters, Vol. 117, Issue 20
ALEGRA: Finite element modeling for shock hydrodynamics and multiphysics
journal, October 2023
- Niederhaus, John H. J.; Bova, Steven W.; Carleton, James B.
- International Journal of Impact Engineering, Vol. 180
The Refurbished Z Facility: Capabilities and Recent Experiments
journal, June 2009
- Matzen, M. K.; Atherton, B. W.; Cuneo, M. E.
- Acta Physica Polonica A, Vol. 115, Issue 6
Modified helix-like instability structure on imploding z-pinch liners that are pre-imposed with a uniform axial magnetic field
journal, May 2014
- Awe, T. J.; Jennings, C. A.; McBride, R. D.
- Physics of Plasmas, Vol. 21, Issue 5
Evolution of helical perturbations in a thin-shell model of an imploding liner
journal, November 2014
- Ryutov, D. D.; Dorf, M. A.
- Physics of Plasmas, Vol. 21, Issue 11
Helical plasma striations in liners in the presence of an external axial magnetic field
journal, February 2016
- Atoyan, L.; Hammer, D. A.; Kusse, B. R.
- Physics of Plasmas, Vol. 23, Issue 2
Three-dimensional feedback processes in current-driven metal
journal, June 2023
- Yu, E. P.; Awe, T. J.; Cochrane, K. R.
- Physical Review E, Vol. 107, Issue 6
Axial magnetic flux amplification in Hall-magnetohydrodynamic simulations of externally magnetized z-pinches
journal, September 2020
- Seyler, C. E.
- Physics of Plasmas, Vol. 27, Issue 9
Observations of Modified Three-Dimensional Instability Structure for Imploding -Pinch Liners that are Premagnetized with an Axial Field
journal, December 2013
- Awe, T. J.; McBride, R. D.; Jennings, C. A.
- Physical Review Letters, Vol. 111, Issue 23
Penetrating Radiography of Imploding and Stagnating Beryllium Liners on the Accelerator
journal, September 2012
- McBride, R. D.; Slutz, S. A.; Jennings, C. A.
- Physical Review Letters, Vol. 109, Issue 13
Experimental Demonstration of Fusion-Relevant Conditions in Magnetized Liner Inertial Fusion
journal, October 2014
- Gomez, M. R.; Slutz, S. A.; Sefkow, A. B.
- Physical Review Letters, Vol. 113, Issue 15
Design of dynamic screw pinch experiments for magnetized liner inertial fusion
journal, October 2019
- Shipley, G. A.; Jennings, C. A.; Schmit, P. F.
- Physics of Plasmas, Vol. 26, Issue 10
Three-dimensional electromagnetic model of the pulsed-power -pinch accelerator
journal, January 2010
- Rose, D. V.; Welch, D. R.; Madrid, E. A.
- Physical Review Special Topics - Accelerators and Beams, Vol. 13, Issue 1
Helical instability in MagLIF due to axial flux compression by low-density plasma
journal, June 2018
- Seyler, C. E.; Martin, M. R.; Hamlin, N. D.
- Physics of Plasmas, Vol. 25, Issue 6
Evolution of sausage and helical modes in magnetized thin-foil cylindrical liners driven by a Z-pinch
journal, May 2018
- Yager-Elorriaga, D. A.; Lau, Y. Y.; Zhang, P.
- Physics of Plasmas, Vol. 25, Issue 5
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
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
Temporal evolution of surface ripples on a finite plasma slab subject to the magneto-Rayleigh-Taylor instability
journal, December 2014
- Weis, M. R.; Zhang, P.; Lau, Y. Y.
- Physics of Plasmas, Vol. 21, Issue 12