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

Title: Simulation of multi-pulse coaxial helicity injection in the Sustained Spheromak Physics Experiment

Abstract

Nonlinear, numerical computation with the NIMROD code is used to explore magnetic self-organization during multi-pulse coaxial helicity injection in the Sustained Spheromak Physics eXperiment. We describe multiple distinct phases of spheromak evolution, starting from vacuum magnetic fields and the formation of the initial magnetic flux bubble through multiple refluxing pulses and the eventual onset of the column mode instability. Experimental and computational magnetic diagnostics agree on the onset of the column mode instability, which first occurs during the second refluxing pulse of the simulated discharge. Our computations also reproduce the injector voltage traces, despite only specifying the injector current and not explicitly modeling the external capacitor bank circuit. Furthermore, the computations demonstrate that global magnetic evolution is fairly robust to different transport models and, therefore, that a single fluid-temperature model is sufficient for a broader, qualitative assessment of spheromak performance. Although discharges with similar traces of normalized injector current produce similar global spheromak evolution, details of the current distribution during the column mode instability impact the relative degree of poloidal flux amplification and magnetic helicity content.

Authors:
 [1]; ORCiD logo [2];  [3]
  1. Univ. of Maryland, Baltimore County, MD (United States). Dept. of Mechanical Engineering; Univ. of Washington, Seattle, WA (United States). Dept. of Aeronautics and Astronautics
  2. Univ. of Maryland, Baltimore County, MD (United States). Dept. of Mechanical Engineering
  3. Woodruff Scientific, Inc., Seattle, WA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1498097
Grant/Contract Number:  
AC52-07NA27344; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 25; Journal Issue: 3; 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

O'Bryan, J. B., Romero-Talamás, C. A., and Woodruff, S. Simulation of multi-pulse coaxial helicity injection in the Sustained Spheromak Physics Experiment. United States: N. p., 2018. Web. doi:10.1063/1.5018319.
O'Bryan, J. B., Romero-Talamás, C. A., & Woodruff, S. Simulation of multi-pulse coaxial helicity injection in the Sustained Spheromak Physics Experiment. United States. https://doi.org/10.1063/1.5018319
O'Bryan, J. B., Romero-Talamás, C. A., and Woodruff, S. Thu . "Simulation of multi-pulse coaxial helicity injection in the Sustained Spheromak Physics Experiment". United States. https://doi.org/10.1063/1.5018319. https://www.osti.gov/servlets/purl/1498097.
@article{osti_1498097,
title = {Simulation of multi-pulse coaxial helicity injection in the Sustained Spheromak Physics Experiment},
author = {O'Bryan, J. B. and Romero-Talamás, C. A. and Woodruff, S.},
abstractNote = {Nonlinear, numerical computation with the NIMROD code is used to explore magnetic self-organization during multi-pulse coaxial helicity injection in the Sustained Spheromak Physics eXperiment. We describe multiple distinct phases of spheromak evolution, starting from vacuum magnetic fields and the formation of the initial magnetic flux bubble through multiple refluxing pulses and the eventual onset of the column mode instability. Experimental and computational magnetic diagnostics agree on the onset of the column mode instability, which first occurs during the second refluxing pulse of the simulated discharge. Our computations also reproduce the injector voltage traces, despite only specifying the injector current and not explicitly modeling the external capacitor bank circuit. Furthermore, the computations demonstrate that global magnetic evolution is fairly robust to different transport models and, therefore, that a single fluid-temperature model is sufficient for a broader, qualitative assessment of spheromak performance. Although discharges with similar traces of normalized injector current produce similar global spheromak evolution, details of the current distribution during the column mode instability impact the relative degree of poloidal flux amplification and magnetic helicity content.},
doi = {10.1063/1.5018319},
journal = {Physics of Plasmas},
number = 3,
volume = 25,
place = {United States},
year = {Thu Mar 01 00:00:00 EST 2018},
month = {Thu Mar 01 00:00:00 EST 2018}
}

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

Citation Metrics:
Cited by: 2 works
Citation information provided by
Web of Science

Figures / Tables:

Figure 1 Figure 1: Our computations start from vacuum magnetic fields corresponding to specific experimental discharges in the SSPX spheromak. Color contours show the poloidal magnetic flux profile in units of mWb consistent with SSPX shot #19719, i.e., 40 mWb of nominal magnetic flux in the modified flux (MF) configuration. Black contourmore » lines are shown at equally spaced contour levels to highlight the flux profile shape in the injector region.« less

Save / Share:

Works referenced in this record:

Formation and sustainment of electrostatically driven spheromaks in the resistive magnetohydrodynamic model
journal, February 2001

  • Sovinec, C. R.; Finn, J. M.; del-Castillo-Negrete, D.
  • Physics of Plasmas, Vol. 8, Issue 2
  • DOI: 10.1063/1.1335585

Energy confinement and magnetic field generation in the SSPX spheromak
journal, May 2008

  • Hudson, B.; Wood, R. D.; McLean, H. S.
  • Physics of Plasmas, Vol. 15, Issue 5
  • DOI: 10.1063/1.2890121

Nonlinear magnetohydrodynamics simulation using high-order finite elements
journal, March 2004

  • Sovinec, C. R.; Glasser, A. H.; Gianakon, T. A.
  • Journal of Computational Physics, Vol. 195, Issue 1
  • DOI: 10.1016/j.jcp.2003.10.004

Improved operation of the SSPX spheromak
journal, November 2005


Simulation of current-filament dynamics and relaxation in the Pegasus Spherical Tokamak
journal, August 2012

  • O’Bryan, J. B.; Sovinec, C. R.; Bird, T. M.
  • Physics of Plasmas, Vol. 19, Issue 8
  • DOI: 10.1063/1.4746089

Sustained Spheromak Physics Experiment (SSPX): design and physics results
journal, October 2012


Stable Spheromaks Sustained by Neutral Beam Injection
journal, July 2008


On the Partial Difference Equations of Mathematical Physics
journal, March 1967

  • Courant, R.; Friedrichs, K.; Lewy, H.
  • IBM Journal of Research and Development, Vol. 11, Issue 2
  • DOI: 10.1147/rd.112.0215

Numerical Investigation of Transients in the SSPX Spheromak
journal, January 2005


Review of controlled laboratory experiments on physics of magnetic reconnection
journal, July 1999

  • Yamada, Masaaki
  • Journal of Geophysical Research: Space Physics, Vol. 104, Issue A7
  • DOI: 10.1029/1998JA900169

Adiabatic Compression of a Compact Torus
journal, August 2017


Physics issues of a spheromak refluxing scenario
journal, June 2011


Imposed-dynamo current drive
journal, July 2012


Simulated flux-rope evolution during non-inductive startup in Pegasus
journal, February 2014


NIMROD resistive magnetohydrodynamic simulations of spheromak physics
journal, March 2008

  • Hooper, E. B.; Cohen, B. I.; McLean, H. S.
  • Physics of Plasmas, Vol. 15, Issue 3
  • DOI: 10.1063/1.2890772

Simulation of spheromak evolution and energy confinement
journal, May 2005

  • Cohen, B. I.; Hooper, E. B.; Cohen, R. H.
  • Physics of Plasmas, Vol. 12, Issue 5
  • DOI: 10.1063/1.1869501

Magnetic reconnection
journal, March 2010


Spheromak formation and sustainment studies at the sustained spheromak physics experiment using high-speed imaging and magnetic diagnostics
journal, February 2006

  • Romero-Talamás, C. A.; Holcomb, C.; Bellan, P. M.
  • Physics of Plasmas, Vol. 13, Issue 2
  • DOI: 10.1063/1.2140682

Stability studies and the origin of the n=1 mode in the SPHEX spheromak experiment
journal, November 1999

  • Brennan, D.; Browning, P. K.; Van der Linden, R. A. M.
  • Physics of Plasmas, Vol. 6, Issue 11
  • DOI: 10.1063/1.873692

Nonlinear extended magnetohydrodynamics simulation using high-order finite elements
journal, January 2005


NIMROD: A computational laboratory for studying nonlinear fusion magnetohydrodynamics
journal, May 2003

  • Sovinec, C. R.; Gianakon, T. A.; Held, E. D.
  • Physics of Plasmas, Vol. 10, Issue 5
  • DOI: 10.1063/1.1560920

The role of the nϕ=1 column mode in spheromak formation
journal, April 2009

  • Cohen, B. I.; Romero-Talamás, C. A.; Ryutov, D. D.
  • Physics of Plasmas, Vol. 16, Issue 4
  • DOI: 10.1063/1.3097909

Measurements and phenomenological modeling of magnetic flux buildup in spheromak plasmas
journal, January 2008

  • Romero-Talamás, C. A.; Hooper, E. B.; Jayakumar, R.
  • Physics of Plasmas, Vol. 15, Issue 4
  • DOI: 10.1063/1.2904917

Review of spheromak research
journal, June 1994


An ion Doppler spectrometer instrument for ion temperature and flow measurements on SSPX
journal, October 2008

  • King, J. D.; McLean, H. S.; Wood, R. D.
  • Review of Scientific Instruments, Vol. 79, Issue 10
  • DOI: 10.1063/1.2957842

Magnetic reconnection
journal, January 1984


Works referencing / citing this record:

Numerical study and optimization of the formation and sustainment of a coaxial helicity injection spheromak
journal, November 2018

  • O'Bryan, J. B.; Romero-Talamás, C. A.; Woodruff, S.
  • Physics of Plasmas, Vol. 25, Issue 11
  • DOI: 10.1063/1.5043299