Exploring the parameter space of MagLIF implosions using similarity scaling. II. Current scaling

Ruiz, D. E.; Schmit, P. F.; Yager-Elorriaga, D. A.; Gomez, M. R.; Weis, M. R.; Jennings, C. A.; Harvey-Thompson, A. J.; Knapp, P. F.; Slutz, S. A.; Ampleford, D. J.; Beckwith, K.; Matzen, M. K.

doi:10.1063/5.0126699

Exploring the parameter space of MagLIF implosions using similarity scaling. II. Current scaling

Journal Article · Fri Mar 31 00:00:00 EDT 2023 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0126699· OSTI ID:1989433

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Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Magnetized liner inertial fusion (MagLIF) is a magneto-inertial-fusion (MIF) concept, which is presently being studied on the Z pulsed power facility. The MagLIF platform has achieved interesting plasma conditions at stagnation and produced significant fusion yields in the laboratory. Given the relative success of MagLIF, there is a strong interest to scale the platform to higher peak currents. However, scaling MagLIF is not entirely straightforward due to the large dimensionality of the experimental input parameter space and the numerous physical processes involved in MIF implosions. Here, in this work, we propose a novel method to scale MagLIF loads to higher currents. Our method is based on similarity (or similitude) scaling and attempts to preserve much of the physics regimes already known or being studied on today's Z pulsed-power driver. By avoiding significant deviations into unexplored and/or less well-understood regimes, the risk of unexpected outcomes on future scaled-up experiments is reduced. Using arguments based on similarity scaling, we derive the scaling rules for the experimental input parameters characterizing a MagLIF load (as functions of the characteristic current driving the implosion). We then test the estimated scaling laws for various metrics measuring performance against results of 2D radiation–magneto-hydrodynamic hydra simulations. Agreement is found between the scaling theory and the simulation results.

View Accepted Manuscript (DOE)

Research Organization:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-07NA27344; NA0003525

OSTI ID:: 1989433

Alternate ID(s):: OSTI ID: 2455121
OSTI ID: 1967532

Report Number(s):: LLNL--JRNL-851007; 1074492

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 3 Vol. 30; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (53)

Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. I Zhou, Ye Physics Reports, Vol. 720-722 https://doi.org/10.1016/j.physrep.2017.07.005	journal	December 2017
Rayleigh–Taylor and Richtmyer–Meshkov instability induced flow, turbulence, and mixing. II Zhou, Ye Physics Reports, Vol. 723-725 https://doi.org/10.1016/j.physrep.2017.07.008	journal	December 2017
Rayleigh-Taylor Instabilities of a Collapsing Cylindrical Shell in a Magnetic Field Harris, E. G. Physics of Fluids, Vol. 5, Issue 9 https://doi.org/10.1063/1.1724473	journal	January 1962
Z-pinch plasma neutron sources Velikovich, A. L.; Clark, R. W.; Davis, J. Physics of Plasmas, Vol. 14, Issue 2 https://doi.org/10.1063/1.2435322	journal	February 2007
Thermal instability during an electrical wire explosion Oreshkin, V. I. Physics of Plasmas, Vol. 15, Issue 9 https://doi.org/10.1063/1.2966121	journal	September 2008
Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field Slutz, S. A.; Herrmann, M. C.; Vesey, R. A. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3333505	journal	May 2010
Thermonuclear ignition in inertial confinement fusion and comparison with magnetic confinement Betti, R.; Chang, P. Y.; Spears, B. K. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3380857	journal	May 2010
Electrothermal instability growth in magnetically driven pulsed power liners Peterson, Kyle J.; Sinars, Daniel B.; Yu, Edmund P. Physics of Plasmas, Vol. 19, Issue 9 https://doi.org/10.1063/1.4751868	journal	September 2012
Simulations of electrothermal instability growth in solid aluminum rods Peterson, Kyle J.; Yu, Edmund P.; Sinars, Daniel B. Physics of Plasmas, Vol. 20, Issue 5 https://doi.org/10.1063/1.4802836	journal	May 2013
Beryllium liner implosion experiments on the Z accelerator in preparation for magnetized liner inertial fusion McBride, R. D.; Martin, M. R.; Lemke, R. W. Physics of Plasmas, Vol. 20, Issue 5 https://doi.org/10.1063/1.4803079	journal	May 2013
Modified helix-like instability structure on imploding z-pinch liners that are pre-imposed with a uniform axial magnetic field Awe, T. J.; Jennings, C. A.; McBride, R. D. Physics of Plasmas, Vol. 21, Issue 5 https://doi.org/10.1063/1.4872331	journal	May 2014
Design of magnetized liner inertial fusion experiments using the Z facility Sefkow, A. B.; Slutz, S. A.; Koning, J. M. Physics of Plasmas, Vol. 21, Issue 7 https://doi.org/10.1063/1.4890298	journal	July 2014
Evolution of helical perturbations in a thin-shell model of an imploding liner Ryutov, D. D.; Dorf, M. A. Physics of Plasmas, Vol. 21, Issue 11 https://doi.org/10.1063/1.4901197	journal	November 2014
Coupling of sausage, kink, and magneto-Rayleigh-Taylor instabilities in a cylindrical liner Weis, M. R.; Zhang, P.; Lau, Y. Y. Physics of Plasmas, Vol. 22, Issue 3 https://doi.org/10.1063/1.4915520	journal	March 2015
Magnetic flux and heat losses by diffusive, advective, and Nernst effects in magnetized liner inertial fusion-like plasma Velikovich, A. L.; Giuliani, J. L.; Zalesak, S. T. Physics of Plasmas, Vol. 22, Issue 4 https://doi.org/10.1063/1.4916777	journal	April 2015
A semi-analytic model of magnetized liner inertial fusion McBride, Ryan D.; Slutz, Stephen A. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4918953	journal	May 2015
Effects of magnetization on fusion product trapping and secondary neutron spectraa) Knapp, P. F.; Schmit, P. F.; Hansen, S. B. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4920948	journal	May 2015
The ignition design space of magnetized target fusion Lindemuth, Irvin R. Physics of Plasmas, Vol. 22, Issue 12 https://doi.org/10.1063/1.4937371	journal	December 2015
Bell-Plesset effects in Rayleigh-Taylor instability of finite-thickness spherical and cylindrical shells Velikovich, A. L.; Schmit, P. F. Physics of Plasmas, Vol. 22, Issue 12 https://doi.org/10.1063/1.4938272	journal	December 2015
Scaling magnetized liner inertial fusion on Z and future pulsed-power accelerators Slutz, S. A.; Stygar, W. A.; Gomez, M. R. Physics of Plasmas, Vol. 23, Issue 2 https://doi.org/10.1063/1.4941100	journal	February 2016
The physics of long- and intermediate-wavelength asymmetries of the hot spot: Compression hydrodynamics and energetics Bose, A.; Betti, R.; Shvarts, D. Physics of Plasmas, Vol. 24, Issue 10 https://doi.org/10.1063/1.4995250	journal	October 2017
Minimizing scatter-losses during pre-heat for magneto-inertial fusion targets Geissel, Matthias; Harvey-Thompson, Adam J.; Awe, Thomas J. Physics of Plasmas, Vol. 25, Issue 2 https://doi.org/10.1063/1.5003038	journal	February 2018
Scaling of magnetized inertial fusion with drive current rise-time Slutz, S. A. Physics of Plasmas, Vol. 25, Issue 8 https://doi.org/10.1063/1.5040116	journal	August 2018
Diagnosing and mitigating laser preheat induced mix in MagLIF Harvey-Thompson, A. J.; Weis, M. R.; Harding, E. C. Physics of Plasmas, Vol. 25, Issue 11 https://doi.org/10.1063/1.5050931	journal	November 2018
Origins and effects of mix on magnetized liner inertial fusion target performance Knapp, P. F.; Gomez, M. R.; Hansen, S. B. Physics of Plasmas, Vol. 26, Issue 1 https://doi.org/10.1063/1.5064548	journal	January 2019
Constraining preheat energy deposition in MagLIF experiments with multi-frame shadowgraphy Harvey-Thompson, A. J.; Geissel, M.; Jennings, C. A. Physics of Plasmas, Vol. 26, Issue 3 https://doi.org/10.1063/1.5086044	journal	March 2019
A conservative approach to scaling magneto-inertial fusion concepts to larger pulsed-power drivers Schmit, P. F.; Ruiz, D. E. Physics of Plasmas, Vol. 27, Issue 6 https://doi.org/10.1063/1.5135716	journal	June 2020
Use of hydrodynamic theory to estimate electrical current redistribution in metals Yu, E. P.; Awe, T. J.; Cochrane, K. R. Physics of Plasmas, Vol. 27, Issue 5 https://doi.org/10.1063/1.5143271	journal	May 2020
Magnetohydrodynamic behavior of thermonuclear fuel in a preconditioned electron beam imploded target Lindemuth, I. R. Physics of Fluids, Vol. 24, Issue 4 https://doi.org/10.1063/1.863415	journal	January 1981
A new quotidian equation of state (QEOS) for hot dense matter More, R. M.; Warren, K. H.; Young, D. A. Physics of Fluids, Vol. 31, Issue 10 https://doi.org/10.1063/1.866963	journal	January 1988
Three‐dimensional simulations of Nova high growth factor capsule implosion experiments Marinak, M. M.; Tipton, R. E.; Landen, O. L. Physics of Plasmas, Vol. 3, Issue 5 https://doi.org/10.1063/1.872004	journal	May 1996
Review of pulsed power-driven high energy density physics research on Z at Sandia Sinars, D. B.; Sweeney, M. A.; Alexander, C. S. Physics of Plasmas, Vol. 27, Issue 7 https://doi.org/10.1063/5.0007476	journal	July 2020
Scaling laser preheat for MagLIF with the Z-Beamlet laser Weis, M. R.; Harvey-Thompson, A. J.; Ruiz, D. E. Physics of Plasmas, Vol. 28, Issue 1 https://doi.org/10.1063/5.0029850	journal	January 2021
Seeding the explosion of a high-current-density conductor in a controlled manner through the addition of micron-scale surface defects Awe, T. J.; Yu, E. P.; Hatch, M. W. Physics of Plasmas, Vol. 28, Issue 7 https://doi.org/10.1063/5.0053898	journal	July 2021
Deep-learning-enabled Bayesian inference of fuel magnetization in magnetized liner inertial fusion Lewis, William E.; Knapp, Patrick F.; Slutz, Stephen A. Physics of Plasmas, Vol. 28, Issue 9 https://doi.org/10.1063/5.0056749	journal	September 2021
Estimation of stagnation performance metrics in magnetized liner inertial fusion experiments using Bayesian data assimilation Knapp, P. F.; Glinsky, M. E.; Schaeuble, M. A. Physics of Plasmas, Vol. 29, Issue 5 https://doi.org/10.1063/5.0087115	journal	May 2022
Hall instability driven seeding of helical magneto-Rayleigh–Taylor instabilities in axially premagnetized thin-foil liner Z-pinch implosions Woolstrum, J. M.; Seyler, C. E.; McBride, R. D. Physics of Plasmas, Vol. 29, Issue 12 https://doi.org/10.1063/5.0103651	journal	December 2022
Experimental demonstration of >20 kJ laser energy coupling in 1-cm hydrocarbon-filled gas pipe targets via inverse Bremsstrahlung absorption with applications to MagLIF Pollock, B. B.; Goyon, C.; Sefkow, A. B. Physics of Plasmas, Vol. 30, Issue 2 https://doi.org/10.1063/5.0120916	journal	February 2023
Exploring the parameter space of MagLIF implosions using similarity scaling. I. Theoretical framework Ruiz, D. E.; Schmit, P. F.; Yager-Elorriaga, D. A. Physics of Plasmas, Vol. 30, Issue 3 https://doi.org/10.1063/5.0126696	journal	March 2023
Parameter space for magnetized fuel targets in inertial confinement fusion Lindemuth, I. R.; Kirkpatrick, R. C. Nuclear Fusion, Vol. 23, Issue 3 https://doi.org/10.1088/0029-5515/23/3/001	journal	March 1983
Ignition conditions for magnetized target fusion in cylindrical geometry Basko, M. M.; Kemp, A. J.; Meyer-ter-Vehn, J. Nuclear Fusion, Vol. 40, Issue 1 https://doi.org/10.1088/0029-5515/40/1/305	journal	January 2000
An overview of magneto-inertial fusion on the Z machine at Sandia National Laboratories Yager-Elorriaga, D. A.; Gomez, M. R.; Ruiz, D. E. Nuclear Fusion, Vol. 62, Issue 4 https://doi.org/10.1088/1741-4326/ac2dbe	journal	February 2022
Measurements of Magneto-Rayleigh-Taylor Instability Growth during the Implosion of Initially Solid Al Tubes Driven by the 20-MA, 100-ns Z Facility Sinars, D. B.; Slutz, S. A.; Herrmann, M. C. Physical Review Letters, Vol. 105, Issue 18 https://doi.org/10.1103/PhysRevLett.105.185001	journal	October 2010
High-Gain Magnetized Inertial Fusion Slutz, Stephen A.; Vesey, Roger A. Physical Review Letters, Vol. 108, Issue 2 https://doi.org/10.1103/PhysRevLett.108.025003	journal	January 2012
Penetrating Radiography of Imploding and Stagnating Beryllium Liners on the Z Accelerator McBride, R. D.; Slutz, S. A.; Jennings, C. A. Physical Review Letters, Vol. 109, Issue 13 https://doi.org/10.1103/PhysRevLett.109.135004	journal	September 2012
Observations of Modified Three-Dimensional Instability Structure for Imploding z -Pinch Liners that are Premagnetized with an Axial Field Awe, T. J.; McBride, R. D.; Jennings, C. A. Physical Review Letters, Vol. 111, Issue 23 https://doi.org/10.1103/PhysRevLett.111.235005	journal	December 2013
Experimental Demonstration of Fusion-Relevant Conditions in Magnetized Liner Inertial Fusion Gomez, M. R.; Slutz, S. A.; Sefkow, A. B. Physical Review Letters, Vol. 113, Issue 15 https://doi.org/10.1103/PhysRevLett.113.155003	journal	October 2014
Understanding Fuel Magnetization and Mix Using Secondary Nuclear Reactions in Magneto-Inertial Fusion Schmit, P. F.; Knapp, P. F.; Hansen, S. B. Physical Review Letters, Vol. 113, Issue 15 https://doi.org/10.1103/PhysRevLett.113.155004	journal	October 2014
Performance Scaling in Magnetized Liner Inertial Fusion Experiments Gomez, M. R.; Slutz, S. A.; Jennings, C. A. Physical Review Letters, Vol. 125, Issue 15 https://doi.org/10.1103/PhysRevLett.125.155002	journal	October 2020
Harmonic Generation and Inverse Cascade in the z-Pinch Driven, Preseeded Multimode, Magneto-Rayleigh-Taylor Instability Ruiz, D. E.; Yager-Elorriaga, D. A.; Peterson, K. J. Physical Review Letters, Vol. 128, Issue 25 https://doi.org/10.1103/PhysRevLett.128.255001	journal	June 2022
Displacement current phenomena in the magnetically insulated transmission lines of the refurbished Z accelerator McBride, R. D.; Jennings, C. A.; Vesey, R. A. Physical Review Special Topics - Accelerators and Beams, Vol. 13, Issue 12 https://doi.org/10.1103/PhysRevSTAB.13.120401	journal	December 2010
Conceptual designs of two petawatt-class pulsed-power accelerators for high-energy-density-physics experiments Stygar, W. A.; Awe, T. J.; Bailey, J. E. Physical Review Special Topics - Accelerators and Beams, Vol. 18, Issue 11 https://doi.org/10.1103/PhysRevSTAB.18.110401	journal	November 2015
Assessing Stagnation Conditions and Identifying Trends in Magnetized Liner Inertial Fusion Gomez, Matthew R.; Slutz, Stephen A.; Knapp, Patrick F. IEEE Transactions on Plasma Science, Vol. 47, Issue 5 https://doi.org/10.1109/TPS.2019.2893517	journal	May 2019

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