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

Title: Numerical Improvements in Magnetohydrodynamic, Pulsed Power Simulations of Near-Target Plasmas

Journal Article · · IEEE Transactions on Plasma Science

Magnetohydrodynamic (MHD) simulations of pulsed power experiments frequently result in unphysical runaway heating when extended to low values of mass density. Traditionally, this has been addressed by the use of conductivity floors below which the plasma is given an arbitrarily low conductivity value. Here, a low-density treatment is presented that allows for low-density material to carry current while maintaining a stable temperature. This treatment is implemented in the Ares multiphysics code. Numerical modifications to the conventional vacuum treatment include an energy-conserving density floor, a modified averaging procedure to determine the thermal conductivity at the edge of adjacent zones, and a modified averaging procedure for determining the thermal conductivity in mixed zones that contain material from differing regions. Additionally, anomalous resistivity and Bohm diffusion models are implemented as simplified models for microphysics-induced enhancement of collisional transport. Importantly, the advantage of these various improvements are illustrated in a simple 1-D pulsed power target where the combined changes result in stable temperatures within the lower density regions.

Research Organization:
Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA)
Grant/Contract Number:
AC52-07NA27344
OSTI ID:
2340985
Report Number(s):
LLNL-JRNL-854341; 1081342
Journal Information:
IEEE Transactions on Plasma Science, Journal Name: IEEE Transactions on Plasma Science Journal Issue: 10 Vol. 52; ISSN 0093-3813
Publisher:
IEEECopyright Statement
Country of Publication:
United States
Language:
English

References (40)

Physical constraints in numerical calculations of diffusion journal July 1981
A study of ALE simulations of Rayleigh–Taylor instability journal March 2001
Laboratory measurement of opacity for stellar envelopes journal October 1997
Cross-code verification and sensitivity analysis to effectively model the electrothermal instability journal March 2021
Comparison of ablators for the polar direct drive exploding pusher platform journal March 2021
Simulation and flow physics of a shocked and reshocked high-energy-density mixing layer journal March 2021
Simulations on lower hybrid drift instability and anomalous resistivity in the magnetic neutral sheet journal January 1981
A higher-than-predicted measurement of iron opacity at solar interior temperatures journal December 2014
Self-consistent approach to anomalous resistivity applied to theta pinch experiments journal January 1973
Dynamic response of materials on subnanosecond time scales, and beryllium properties for inertial confinement fusion journal May 2005
Pulsed-power-driven cylindrical liner implosions of laser preheated fuel magnetized with an axial field journal May 2010
Relaxation model for extended magnetohydrodynamics: Comparison to magnetohydrodynamics for dense Z-pinches journal January 2011
Analytical and computational study of the ideal full two-fluid plasma model and asymptotic approximations for Hall-magnetohydrodynamics journal September 2011
Modified helix-like instability structure on imploding z-pinch liners that are pre-imposed with a uniform axial magnetic field journal May 2014
Development and modeling of a polar-direct-drive exploding pusher platform at the National Ignition Facility journal July 2018
Direct measurements of anode/cathode gap plasma in cylindrically imploding loads on the Z machine journal June 2018
Helical instability in MagLIF due to axial flux compression by low-density plasma journal June 2018
Linear response of a Hall magnetic drift wave for verification of Hall MHD algorithms journal July 2019
Exploring the crossover between high-energy-density plasma and ultracold neutral plasma physics journal October 2019
Anomalous transport properties associated with the lower-hybrid-drift instability journal January 1975
The effect of lower hybrid instabilities on plasma confinement in fiber Z pinches journal April 1995
Z pinches as intense x-ray sources for high-energy density physics applications journal May 1997
Kinetic simulations of anomalous resistivity in high-temperature current carrying plasmas journal September 2020
The effect of anomalous resistivity on fast electrothermal instability journal October 2021
Impact of power flow on Z-pinch loads journal November 2022
Exploring the parameter space of MagLIF implosions using similarity scaling. II. Current scaling journal March 2023
Anomalous transport in high-temperature plasmas with applications to solenoidal fusion systems journal December 1977
Electron-ion equilibration in a partially degenerate plasma journal October 1974
Electrode contaminant plasma effects in 1 0 7 -A Z pinch accelerators journal July 2019
Spatially resolved measurements of load current delivery on a 14 MA, 100 ns pulsed power experiment using a line-imaging velocity interferometer journal July 2023
Analytic expressions for electron-ion temperature equilibration rates from the Lenard-Balescu equation journal January 2018
Measurements of Magneto-Rayleigh-Taylor Instability Growth during the Implosion of Initially Solid Al Tubes Driven by the 20-MA, 100-ns Z Facility journal October 2010
High-Gain Magnetized Inertial Fusion journal January 2012
Laser-Produced Magnetic-Rayleigh-Taylor Unstable Plasma Slabs in a 20 T Magnetic Field journal November 2019
Anomalous Penetration of a Magnetic Pulse into a Plasma journal June 1973
Z -Pinch-Generated X Rays Demonstrate Potential for Indirect-Drive ICF Experiments journal December 1999
Plasma evolution and dynamics in high-power vacuum-transmission-line post-hole convolutes journal June 2008
Experimental study of current loss and plasma formation in the Z machine post-hole convolute journal January 2017
Observations of Modified Three-Dimensional Instability Structure for Imploding z -Pinch Liners that are Premagnetized with an Axial Field journal December 2013
Indirect-Drive ICF Target Concepts for the X-1 Z-Pinch Facility journal March 1999