skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Multi-region approach to free-boundary three-dimensional tokamak equilibria and resistive wall instabilities

Abstract

Free-boundary 3D tokamak equilibria and resistive wall instabilities are calculated using a new resistive wall model in the two-fluid M3D-C1 code. In this model, the resistive wall and surround- ing vacuum region are included within the computational domain. Our implementation contrasts with the method typically used in fluid codes in which the resistive wall is treated as a boundary condition on the computational domain boundary and has the advantage of maintaining purely local coupling of mesh elements. We use this new capability to simulate perturbed, free-boundary non- axisymmetric equilibria; the linear evolution of resistive wall modes; and the linear and nonlinear evolution of axisymmetric vertical displacement events (VDEs). Calculated growth rates for a resistive wall mode with arbitrary wall thickness are shown to agree well with the analytic theory. Equilibrium and VDE calculations are performed in diverted tokamak geometry, at physically real- istic values of dissipation, and with resistive walls of finite width. Simulations of a VDE disruption extend into the current-quench phase, in which the plasma becomes limited by the first wall, and strong currents are observed to flow in the wall, in the SOL, and from the plasma to the wall.

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [1];  [3];  [3]
  1. General Atomics, La Jolla, CA (United States)
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  3. Rensselaer Polytechnic Inst., Troy, NY (United States)
Publication Date:
Research Org.:
General Atomics, San Diego, CA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1371710
Alternate Identifier(s):
OSTI ID: 1254030
Grant/Contract Number:  
FC02-04ER54698; FG02-95ER54309; AC02-09CH11466; SC0006617
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; 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

Citation Formats

Ferraro, N. M., Jardin, S. C., Lao, L. L., Shephard, M. S., and Zhang, F. Multi-region approach to free-boundary three-dimensional tokamak equilibria and resistive wall instabilities. United States: N. p., 2016. Web. doi:10.1063/1.4948722.
Ferraro, N. M., Jardin, S. C., Lao, L. L., Shephard, M. S., & Zhang, F. Multi-region approach to free-boundary three-dimensional tokamak equilibria and resistive wall instabilities. United States. doi:10.1063/1.4948722.
Ferraro, N. M., Jardin, S. C., Lao, L. L., Shephard, M. S., and Zhang, F. Fri . "Multi-region approach to free-boundary three-dimensional tokamak equilibria and resistive wall instabilities". United States. doi:10.1063/1.4948722. https://www.osti.gov/servlets/purl/1371710.
@article{osti_1371710,
title = {Multi-region approach to free-boundary three-dimensional tokamak equilibria and resistive wall instabilities},
author = {Ferraro, N. M. and Jardin, S. C. and Lao, L. L. and Shephard, M. S. and Zhang, F.},
abstractNote = {Free-boundary 3D tokamak equilibria and resistive wall instabilities are calculated using a new resistive wall model in the two-fluid M3D-C1 code. In this model, the resistive wall and surround- ing vacuum region are included within the computational domain. Our implementation contrasts with the method typically used in fluid codes in which the resistive wall is treated as a boundary condition on the computational domain boundary and has the advantage of maintaining purely local coupling of mesh elements. We use this new capability to simulate perturbed, free-boundary non- axisymmetric equilibria; the linear evolution of resistive wall modes; and the linear and nonlinear evolution of axisymmetric vertical displacement events (VDEs). Calculated growth rates for a resistive wall mode with arbitrary wall thickness are shown to agree well with the analytic theory. Equilibrium and VDE calculations are performed in diverted tokamak geometry, at physically real- istic values of dissipation, and with resistive walls of finite width. Simulations of a VDE disruption extend into the current-quench phase, in which the plasma becomes limited by the first wall, and strong currents are observed to flow in the wall, in the SOL, and from the plasma to the wall.},
doi = {10.1063/1.4948722},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 5,
volume = 23,
place = {United States},
year = {2016},
month = {5}
}

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

Citation Metrics:
Cited by: 1 work
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Ideal and resistive edge stability calculations with M3D-C1
journal, October 2010

  • Ferraro, N. M.; Jardin, S. C.; Snyder, P. B.
  • Physics of Plasmas, Vol. 17, Issue 10
  • DOI: 10.1063/1.3492727

Disruptions and halo currents in Alcator C-Mod
journal, May 1996


Experimental tests of linear and nonlinear three-dimensional equilibrium models in DIII-D
journal, July 2015

  • King, J. D.; Strait, E. J.; Lazerson, S. A.
  • Physics of Plasmas, Vol. 22, Issue 7
  • DOI: 10.1063/1.4923017

The NIMROD code: a new approach to numerical plasma physics
journal, January 1999

  • Glasser, A. H.; Sovinec, C. R.; Nebel, R. A.
  • Plasma Physics and Controlled Fusion, Vol. 41, Issue 3A
  • DOI: 10.1088/0741-3335/41/3A/067

Plasma response measurements of non-axisymmetric magnetic perturbations on DIII-D via soft x-ray imaginga)
journal, December 2014

  • Shafer, M. W.; Unterberg, E. A.; Wingen, A.
  • Physics of Plasmas, Vol. 21, Issue 12
  • DOI: 10.1063/1.4905129

Negative voltage spike in tokamak disruptions
journal, June 1990


Understanding disruptions in tokamaks
journal, May 2012

  • Zakharov, Leonid E.; Galkin, Sergei A.; Gerasimov, Sergei N.
  • Physics of Plasmas, Vol. 19, Issue 5
  • DOI: 10.1063/1.4705694

An efficient method for solving elliptic boundary element problems with application to the tokamak vacuum problem
journal, October 2011


Dynamics and energy flow in a disrupting tokamak plasma
journal, October 1991


A high-order implicit finite element method for integrating the two-fluid magnetohydrodynamic equations in two dimensions
journal, October 2007


Improving Multifrontal Methods by Means of Block Low-Rank Representations
journal, January 2015

  • Amestoy, Patrick; Ashcraft, Cleve; Boiteau, Olivier
  • SIAM Journal on Scientific Computing, Vol. 37, Issue 3
  • DOI: 10.1137/120903476

SuperLU_DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems
journal, June 2003

  • Li, Xiaoye S.; Demmel, James W.
  • ACM Transactions on Mathematical Software, Vol. 29, Issue 2
  • DOI: 10.1145/779359.779361

Calculations of two-fluid linear response to non-axisymmetric fields in tokamaks
journal, May 2012


Finite element implementation of Braginskii’s gyroviscous stress with application to the gravitational instability
journal, September 2006

  • Ferraro, N. M.; Jardin, S. C.
  • Physics of Plasmas, Vol. 13, Issue 9
  • DOI: 10.1063/1.2236277

TSC plasma halo simulation of a DIII-D vertical displacement episode
journal, July 1993


Observation of poloidal current flow to the vacuum vessel wall during vertical instabilities in the DIII-D tokamak
journal, March 1991


Disruptions in tokamaks
journal, November 1995


Impact of plasma response on plasma displacements in DIII-D during application of external 3D perturbations
journal, May 2014


Coupling JOREK and STARWALL Codes for Non-linear Resistive-wall Simulations
journal, December 2012


The interaction of resonant magnetic perturbations with rotating plasmas
journal, March 1991

  • Fitzpatrick, R.; Hender, T. C.
  • Physics of Fluids B: Plasma Physics, Vol. 3, Issue 3
  • DOI: 10.1063/1.859863

Validation of the linear ideal magnetohydrodynamic model of three-dimensional tokamak equilibria
journal, March 2010

  • Lanctot, M. J.; Reimerdes, H.; Garofalo, A. M.
  • Physics of Plasmas, Vol. 17, Issue 3
  • DOI: 10.1063/1.3335237

Vacuum calculations in azimuthally symmetric geometry
journal, June 1997


Inter-code comparison benchmark between DINA and TSC for ITER disruption modelling
journal, May 2014


Calculations of two-fluid magnetohydrodynamic axisymmetric steady-states
journal, November 2009


MHD simulations with resistive wall and magnetic separatrix
journal, December 2004


High spatial resolution equilibrium reconstruction
journal, July 2011


Wall forces produced during ITER disruptions
journal, August 2010

  • Strauss, H. R.; Paccagnella, R.; Breslau, J.
  • Physics of Plasmas, Vol. 17, Issue 8
  • DOI: 10.1063/1.3474922

Multiple timescale calculations of sawteeth and other global macroscopic dynamics of tokamak plasmas
journal, January 2012


Feedback stabilization of nonaxisymmetric resistive wall modes in tokamaks. I. Electromagnetic model
journal, September 2000

  • Liu, Y. Q.; Bondeson, A.; Fransson, C. M.
  • Physics of Plasmas, Vol. 7, Issue 9
  • DOI: 10.1063/1.1287744

Edge localized linear ideal magnetohydrodynamic instability studies in an extended-magnetohydrodynamic code
journal, March 2010

  • Burke, B. J.; Kruger, S. E.; Hegna, C. C.
  • Physics of Plasmas, Vol. 17, Issue 3
  • DOI: 10.1063/1.3309732

A triangular finite element with first-derivative continuity applied to fusion MHD applications
journal, October 2004


An analytical demonstration of coupling schemes between magnetohydrodynamic codes and eddy current codes
journal, July 2008

  • Liu, Yueqiang; Albanese, R.; Portone, A.
  • Physics of Plasmas, Vol. 15, Issue 7
  • DOI: 10.1063/1.2959129

Sideways wall force produced during tokamak disruptions
journal, June 2013


    Works referencing / citing this record:

    Scenario development during commissioning operations on the National Spherical Torus Experiment Upgrade
    journal, February 2018


    Effect of rotation zero-crossing on single-fluid plasma response to three-dimensional magnetic perturbations
    journal, February 2017

    • Lyons, B. C.; Ferraro, N. M.; Paz-Soldan, C.
    • Plasma Physics and Controlled Fusion, Vol. 59, Issue 4
    • DOI: 10.1088/1361-6587/aa5860

    Scenario development during commissioning operations on the National Spherical Torus Experiment Upgrade
    journal, February 2018