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Title: Tokamak magneto-hydrodynamics and reference magnetic coordinates for simulations of plasma disruptions

Authors:
ORCiD logo [1];  [2]
  1. Princeton Plasma Physics Laboratory, P.O. Box 451, Princeton, New Jersey 08543, USA
  2. Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, P.O. Box 2719, Beijing 100190, China
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1228647
Grant/Contract Number:  
AC02-09-CH11466
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Name: Physics of Plasmas Journal Volume: 22 Journal Issue: 6; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics
Country of Publication:
United States
Language:
English

Citation Formats

Zakharov, Leonid E., and Li, Xujing. Tokamak magneto-hydrodynamics and reference magnetic coordinates for simulations of plasma disruptions. United States: N. p., 2015. Web. doi:10.1063/1.4922896.
Zakharov, Leonid E., & Li, Xujing. Tokamak magneto-hydrodynamics and reference magnetic coordinates for simulations of plasma disruptions. United States. doi:10.1063/1.4922896.
Zakharov, Leonid E., and Li, Xujing. Thu . "Tokamak magneto-hydrodynamics and reference magnetic coordinates for simulations of plasma disruptions". United States. doi:10.1063/1.4922896.
@article{osti_1228647,
title = {Tokamak magneto-hydrodynamics and reference magnetic coordinates for simulations of plasma disruptions},
author = {Zakharov, Leonid E. and Li, Xujing},
abstractNote = {},
doi = {10.1063/1.4922896},
journal = {Physics of Plasmas},
number = 6,
volume = 22,
place = {United States},
year = {2015},
month = {6}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1063/1.4922896

Citation Metrics:
Cited by: 5 works
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Works referenced in this record:

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


Evaluation of the structure of ergodic fields
journal, January 1983


Plasma current asymmetries during disruptions in JET
journal, April 2014


Velocity boundary conditions at a tokamak resistive wall
journal, March 2014


Response to “Comment on ‘Wall forces produced during ITER disruptions’ ” [Phys. Plasmas 17, 124703 (2010)]
journal, December 2010

  • Strauss, H. R.; Paccagnella, R.; Breslau, J.
  • Physics of Plasmas, Vol. 17, Issue 12
  • DOI: 10.1063/1.3522760

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

Destruction of invariant surfaces and magnetic coordinates for perturbed magnetic fields
journal, February 2004


Surface currents on ideal plasmas
journal, November 2010


Hydromagnetic equilibria and their proper coordinates
journal, January 1962


Three-dimensional nonlinear incompressible MHD calculations
journal, January 1984


General formulation of the resistive wall mode coupling equations
journal, July 2008


On fully three-dimensional resistive wall mode and feedback stabilization computations
journal, May 2008

  • Strumberger, E.; Merkel, P.; Sempf, M.
  • Physics of Plasmas, Vol. 15, Issue 5
  • DOI: 10.1063/1.2884579

Forces between plasma, vessel and TF coils during AVDEs at JET
journal, October 2000


Sustained Self-Reversal in the Reversed-Field Pinch
journal, March 1984


Studies of Internal Disruptions and m = 1 Oscillations in Tokamak Discharges with Soft—X-Ray Tecniques
journal, November 1974


Analysis of perturbed magnetic fields via construction of nearby integrable fields
journal, May 1999

  • Hudson, S. R.; Dewar, R. L.
  • Physics of Plasmas, Vol. 6, Issue 5
  • DOI: 10.1063/1.873406

Compressible magnetohydrodynamic sawtooth crash
journal, February 2014


Plasma equilibrium reconstructions in the lithium tokamak experiment
journal, May 2012


Parametric analysis of asymmetric vertical displacement events at JET
journal, December 1999


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


Hydromagnetic equilibria and force-free fields
journal, September 1958


Nonlinear studies of m =1 modes in high‐temperature plasmas
journal, November 1992

  • Aydemir, A. Y.
  • Physics of Fluids B: Plasma Physics, Vol. 4, Issue 11
  • DOI: 10.1063/1.860355

Chapter 1: Overview and summary
journal, December 1999

  • Editors, ITER Physics Basis; Co-Chairs, ITER Physics Expert Group Chairs an; Unit, ITER Joint Central Team and Physics
  • Nuclear Fusion, Vol. 39, Issue 12
  • DOI: 10.1088/0029-5515/39/12/301

Comment on “Velocity boundary conditions at a tokamak resistive wall” [Phys. Plasmas 21 , 032506 (2014)]
journal, September 2014

  • Zakharov, Leonid E.; Li, Xujing
  • Physics of Plasmas, Vol. 21, Issue 9
  • DOI: 10.1063/1.4894533

3D nonlinear calculations of resistive tearing modes
journal, November 1981


Three-dimensional stellarator equilibria by iteration
journal, January 1984


The theory of the kink mode during the vertical plasma disruption events in tokamaks
journal, June 2008


Comment on “Wall forces produced during ITER disruptions” [Phys. Plasmas 17, 082505 (2010)]
journal, December 2010


Nonlinear, two-dimensional magnetohydrodynamic calculations
journal, March 1980


Theoretical modelling of the feedback stabilization of external MHD modes in toroidal geometry
journal, March 2002


Measurements of non-axisymmetric effects in the DIII-D divertor
journal, April 1995


Model-based dynamic resistive wall mode identification and feedback control in the DIII-D tokamak
journal, June 2006

  • In, Y.; Kim, J. S.; Edgell, D. H.
  • Physics of Plasmas, Vol. 13, Issue 6
  • DOI: 10.1063/1.2214637

Chapter 3: MHD stability, operational limits and disruptions
journal, June 2007


Sideways wall force produced during tokamak disruptions
journal, June 2013


Two‐fluid magnetohydrodynamic description of the internal kink mode in tokamaks
journal, October 1992

  • Zakharov, L.; Rogers, B.
  • Physics of Fluids B: Plasma Physics, Vol. 4, Issue 10
  • DOI: 10.1063/1.860384

Edge plasma boundary layer generated by kink modes in tokamaks
journal, June 2011


Specification of asymmetric VDE loads of the ITER tokamak
journal, October 2011


Numerical studies of nonlinear evolution of kink modes in tokamaks
journal, January 1976

  • Rosenbluth, Marshall N.; Monticello, D. A.; Strauss, H. R.
  • Physics of Fluids, Vol. 19, Issue 12
  • DOI: 10.1063/1.861430

A nonlinear two-fluid model for toroidal plasmas
journal, November 2000

  • Sugiyama, L. E.; Park, W.
  • Physics of Plasmas, Vol. 7, Issue 11
  • DOI: 10.1063/1.1308083

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

Progress in understanding halo current at JET
journal, April 2009


Response of a partial wall to an external perturbation of rotating plasma
journal, September 2013

  • Atanasiu, C. V.; Zakharov, L. E.
  • Physics of Plasmas, Vol. 20, Issue 9
  • DOI: 10.1063/1.4821124

Computation of magnetic coordinates and action-angle variables
journal, May 1991


Magnetic coordinates for equilibria with a continuous symmetry
journal, January 1984

  • Dewar, R. L.; Monticello, D. A.; Sy, W. N. -C.
  • Physics of Fluids, Vol. 27, Issue 7
  • DOI: 10.1063/1.864828

Reduction of islands in full-pressure stellarator equilibria
journal, July 2001

  • Hudson, S. R.; Monticello, D. A.; Reiman, A. H.
  • Physics of Plasmas, Vol. 8, Issue 7
  • DOI: 10.1063/1.1377614

The Stellarator Concept
journal, January 1958


The role of surface currents in plasma confinement
journal, November 2011


Adaptive Grids in Simulations of Toroidal Plasma Starting from Magneto-Hydrodynamic Equilibrium
journal, February 2015


Effect of Halo Current and Its Toroidal Asymmetry During Disruptions in JT-60U
journal, November 1995


Effect of a strong magnetic field on the magnetohydrodynamic stability of a plasma and the confinement of charged particles in the `Tokamak' machine
journal, January 1964

  • Gorbunov, E. P.; Razumova, K. A.
  • Journal of Nuclear Energy. Part C, Plasma Physics, Accelerators, Thermonuclear Research, Vol. 6, Issue 5
  • DOI: 10.1088/0368-3281/6/5/310

High-β Disruption in Tokamaks
journal, August 1995


Linear studies of m =1 modes in high‐temperature plasmas with a four‐field model
journal, November 1991

  • Aydemir, A. Y.
  • Physics of Fluids B: Plasma Physics, Vol. 3, Issue 11
  • DOI: 10.1063/1.859780

Three‐dimensional hybrid gyrokinetic‐magnetohydrodynamics simulation
journal, March 1992

  • Park, W.; Parker, S.; Biglari, H.
  • Physics of Fluids B: Plasma Physics, Vol. 4, Issue 7
  • DOI: 10.1063/1.860011

Modelling of the toroidal asymmetry of poloidal halo currents in conducting structures
journal, March 1998


The theory of the early nonlinear stage of m =1 reconnection in tokamaks*
journal, July 1993

  • Zakharov, L.; Rogers, B.; Migliuolo, S.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 7
  • DOI: 10.1063/1.860735

The theory of variances in equilibrium reconstruction
journal, September 2008

  • Zakharov, Leonid E.; Lewandowski, Jerome; Foley, Elizabeth L.
  • Physics of Plasmas, Vol. 15, Issue 9
  • DOI: 10.1063/1.2977480

Vacuum calculations in azimuthally symmetric geometry
journal, June 1997


Magnetic X-points, edge localized modes, and stochasticity
journal, June 2010

  • Sugiyama, L. E.; Strauss, H. R.
  • Physics of Plasmas, Vol. 17, Issue 6
  • DOI: 10.1063/1.3449301

Normal mode approach to modelling of feedback stabilization of the resistive wall mode
journal, May 2003


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

Plasma simulation studies using multilevel physics models
journal, May 1999

  • Park, W.; Belova, E. V.; Fu, G. Y.
  • Physics of Plasmas, Vol. 6, Issue 5
  • DOI: 10.1063/1.873437

Theory of perturbed equilibria for solving the Grad–Shafranov equation
journal, December 1999

  • Zakharov, L. E.; Pletzer, A.
  • Physics of Plasmas, Vol. 6, Issue 12
  • DOI: 10.1063/1.873756