Modeling of toroidal torques exerted by internal kink instability in a tokamak plasma
Abstract
Toroidal modeling efforts are initiated to systematically compute and compare various toroidal torques, exerted by an unstable internal kink in a tokamak plasma, using the MARS-F/K/Q suite of codes. The torques considered here include the resonant electromagnetic torque due to the Maxwell stress (the EM or JXB torque), the neoclassical toroidal viscous (NTV) torque, and the torque associated with the Reynolds stress. Numerical results show that the relative magnitude of the net resonant electromagnetic and the Reynolds stress torques increases with the equilibrium flow speed of the plasma, whilst the net NTV torque follows the opposite trend. The global flow shear sensitively affects the Reynolds stress torque, but not the electromagnetic and the NTV torques. Detailed examinations reveal dominant contributions to the Maxwell and Reynolds stress torques, in terms of the poloidal harmonic numbers of various perturbation fields, as well as their relative toroidal phasing.
- Authors:
-
- Southwestern Inst. of Physics, Chengdu (China)
- Southwestern Inst. of Physics, Chengdu (China); General Atomics, San Diego, CA (United States)
- Southwestern Inst. of Physics, Chengdu (China); Tsinghua Univ., Beijing (China)
- Publication Date:
- Research Org.:
- General Atomics, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1535333
- Grant/Contract Number:
- FC02-04ER54698; FG02-95ER54309
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 24; Journal Issue: 8; 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; Physics
Citation Formats
Zhang, N., Liu, Y. Q., Yu, D. L., Wang, S., Xia, G. L., Dong, G. Q., and Bai, X. Modeling of toroidal torques exerted by internal kink instability in a tokamak plasma. United States: N. p., 2017.
Web. doi:10.1063/1.4995271.
Zhang, N., Liu, Y. Q., Yu, D. L., Wang, S., Xia, G. L., Dong, G. Q., & Bai, X. Modeling of toroidal torques exerted by internal kink instability in a tokamak plasma. United States. https://doi.org/10.1063/1.4995271
Zhang, N., Liu, Y. Q., Yu, D. L., Wang, S., Xia, G. L., Dong, G. Q., and Bai, X. Mon .
"Modeling of toroidal torques exerted by internal kink instability in a tokamak plasma". United States. https://doi.org/10.1063/1.4995271. https://www.osti.gov/servlets/purl/1535333.
@article{osti_1535333,
title = {Modeling of toroidal torques exerted by internal kink instability in a tokamak plasma},
author = {Zhang, N. and Liu, Y. Q. and Yu, D. L. and Wang, S. and Xia, G. L. and Dong, G. Q. and Bai, X.},
abstractNote = {Toroidal modeling efforts are initiated to systematically compute and compare various toroidal torques, exerted by an unstable internal kink in a tokamak plasma, using the MARS-F/K/Q suite of codes. The torques considered here include the resonant electromagnetic torque due to the Maxwell stress (the EM or JXB torque), the neoclassical toroidal viscous (NTV) torque, and the torque associated with the Reynolds stress. Numerical results show that the relative magnitude of the net resonant electromagnetic and the Reynolds stress torques increases with the equilibrium flow speed of the plasma, whilst the net NTV torque follows the opposite trend. The global flow shear sensitively affects the Reynolds stress torque, but not the electromagnetic and the NTV torques. Detailed examinations reveal dominant contributions to the Maxwell and Reynolds stress torques, in terms of the poloidal harmonic numbers of various perturbation fields, as well as their relative toroidal phasing.},
doi = {10.1063/1.4995271},
journal = {Physics of Plasmas},
number = 8,
volume = 24,
place = {United States},
year = {Mon Jul 24 00:00:00 EDT 2017},
month = {Mon Jul 24 00:00:00 EDT 2017}
}
Web of Science
Works referenced in this record:
Destabilization of the internal kink mode by energetic electrons on the HL-2A tokamak
journal, June 2009
- Chen, W.; Ding, X. T.; Liu, Yi.
- Nuclear Fusion, Vol. 49, Issue 7
Scaling of rotation and momentum confinement in JET plasmas
journal, April 2008
- de Vries, P. C.; Hua, M. -D.; McDonald, D. C.
- Nuclear Fusion, Vol. 48, Issue 6
Test of tokamak low‐mode–high‐mode transition theory in stellarators
journal, November 1993
- Shaing, K. C.
- Physics of Fluids B: Plasma Physics, Vol. 5, Issue 11
Modelling of the neoclassical toroidal plasma viscosity torque in tokamaks
journal, April 2011
- Sun, Y.; Liang, Y.; Shaing, K. C.
- Nuclear Fusion, Vol. 51, Issue 5
Torque on an Ideal Plasma
journal, September 2003
- Taylor, J. B.
- Physical Review Letters, Vol. 91, Issue 11
Bifurcated states of a rotating tokamak plasma in the presence of a static error-field
journal, September 1998
- Fitzpatrick, Richard
- Physics of Plasmas, Vol. 5, Issue 9
Internal kink mode dynamics in high-β NSTX plasmas
journal, June 2005
- Menard, J. E.; Bell, R. E.; Fredrickson, E. D.
- Nuclear Fusion, Vol. 45, Issue 7
Cross-machine comparison of resonant field amplification and resistive wall mode stabilization by plasma rotation
journal, May 2006
- Reimerdes, H.; Hender, T. C.; Sabbagh, S. A.
- Physics of Plasmas, Vol. 13, Issue 5
Toroidal modeling of interaction between resistive wall mode and plasma flow
journal, February 2013
- Liu, Yueqiang; Sun, Youwen
- Physics of Plasmas, Vol. 20, Issue 2
Finite toroidal flow generated by unstable tearing mode in a toroidal plasma
journal, December 2014
- Hao, G. Z.; Liu, Y. Q.; Wang, A. K.
- Physics of Plasmas, Vol. 21, Issue 12
Resistive instabilities in a diffuse linear pinch
journal, June 1966
- Coppi, Bruno; Greene, John M.; Johnson, John L.
- Nuclear Fusion, Vol. 6, Issue 2
The effect of toroidal plasma rotation on sawteeth in MAST
journal, October 2006
- Chapman, I. T.; Hender, T. C.; Saarelma, S.
- Nuclear Fusion, Vol. 46, Issue 12
Modelling toroidal rotation damping in ITER due to external 3D fields
journal, May 2015
- Liu, Yueqiang; Akers, R.; Chapman, I. T.
- Nuclear Fusion, Vol. 55, Issue 6
Theory comparison and numerical benchmarking on neoclassical toroidal viscosity torque
journal, April 2014
- Wang, Zhirui; Park, Jong-Kyu; Liu, Yueqiang
- Physics of Plasmas, Vol. 21, Issue 4
Effect of rotation on ideal and resistive MHD modes
journal, November 1999
- Chu, M. S.; Chen, L.; Zheng, L. -J
- Nuclear Fusion, Vol. 39, Issue 11Y
Effect of sheared flows on classical and neoclassical tearing modes
journal, May 2005
- Chandra, D.; Sen, A.; Kaw, P.
- Nuclear Fusion, Vol. 45, Issue 6
MHD stability analysis of ELMs in MAST
journal, December 2006
- Saarelma, S.; Hender, T. C.; Kirk, A.
- Plasma Physics and Controlled Fusion, Vol. 49, Issue 1
Mechanism of Stabilization of Ballooning Modes by Toroidal Rotation Shear in Tokamaks
journal, May 2005
- Furukawa, M.; Tokuda, S.
- Physical Review Letters, Vol. 94, Issue 17
Continuum resonance induced electromagnetic torque by a rotating plasma response to static resonant magnetic perturbation field
journal, October 2012
- Liu, Yueqiang; Connor, J. W.; Cowley, S. C.
- Physics of Plasmas, Vol. 19, Issue 10
Islands in the stream: The effect of plasma flow on tearing stability
journal, May 2010
- La Haye, R. J.; Brennan, D. P.; Buttery, R. J.
- Physics of Plasmas, Vol. 17, Issue 5
Effect of toroidal plasma flow and flow shear on global magnetohydrodynamic MHD modes
journal, June 1995
- Chu, M. S.; Greene, J. M.; Jensen, T. H.
- Physics of Plasmas, Vol. 2, Issue 6
Direct Observation of the Resistive Wall Mode in a Tokamak and Its Interaction with Plasma Rotation
journal, May 1999
- Garofalo, A. M.; Turnbull, A. D.; Austin, M. E.
- Physical Review Letters, Vol. 82, Issue 19
Stabilization of resistive wall modes in ITER by active feedback and toroidal rotation
journal, January 2004
- Liu, Yueqiang; Bondeson, A.; Gribov, Y.
- Nuclear Fusion, Vol. 44, Issue 2
Magnetohydrodynamic-activity-induced toroidal momentum dissipation in collisionless regimes in tokamaks
journal, May 2003
- Shaing, K. C.
- Physics of Plasmas, Vol. 10, Issue 5
22nd IAEA Fusion Energy Conference: summary of sessions EX/D, EX/S and EX/W
journal, September 2009
- Motojima, O.
- Nuclear Fusion, Vol. 49, Issue 10
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
Stabilization of ballooning modes with sheared toroidal rotation
journal, October 1995
- Miller, R. L.; Waelbroeck, F. L.; Hassam, A. B.
- Physics of Plasmas, Vol. 2, Issue 10
An approximate analytic expression for neoclassical toroidal plasma viscosity in tokamaks
journal, January 2010
- Shaing, K. C.; Sabbagh, S. A.; Chu, M. S.
- Nuclear Fusion, Vol. 50, Issue 2
Energetic particle driven instability in wall-stabilized high-β plasmas
journal, July 2010
- Matsunaga, G.; Shinohara, K.; Aiba, N.
- Nuclear Fusion, Vol. 50, Issue 8
Global hybrid simulations of energetic particle effects on the n=1 mode in tokamaks: Internal kink and fishbone instability
journal, May 2006
- Fu, G. Y.; Park, W.; Strauss, H. R.
- Physics of Plasmas, Vol. 13, Issue 5
Comparison of MHD-induced rotation damping with NTV predictions on MAST
journal, February 2010
- Hua, M-D; Chapman, I. T.; Field, A. R.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 3
Stabilization of external modes in tokamaks by resistive walls and plasma rotation
journal, April 1994
- Bondeson, A.; Ward, D. J.
- Physical Review Letters, Vol. 72, Issue 17
Investigation of the long-lived saturated internal mode and its control on the HL-2A tokamak
journal, December 2013
- Wei, Deng; Yi, Liu; Xian-Qu, Wang
- Nuclear Fusion, Vol. 54, Issue 1
Saturated ideal modes in advanced tokamak regimes in MAST
journal, March 2010
- Chapman, I. T.; Hua, M. -D.; Pinches, S. D.
- Nuclear Fusion, Vol. 50, Issue 4
Electromagnetic torque on the toroidal plasma and the error-field induced torque
journal, October 2007
- Pustovitov, V. D.
- Nuclear Fusion, Vol. 47, Issue 11
Toroidal modeling of penetration of the resonant magnetic perturbation field
journal, April 2013
- Liu, Yueqiang; Kirk, A.; Sun, Y.
- Physics of Plasmas, Vol. 20, Issue 4
Toroidal self-consistent modeling of drift kinetic effects on the resistive wall mode
journal, November 2008
- Liu, Yueqiang; Chu, M. S.; Chapman, I. T.
- Physics of Plasmas, Vol. 15, Issue 11
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
Plasma parameter scaling of the error-field penetration threshold in tokamaks
journal, May 2003
- Fitzpatrick, Richard
- Physics of Plasmas, Vol. 10, Issue 5
Toroidal modeling of plasma response and resonant magnetic perturbation field penetration
journal, November 2012
- Liu, Y. Q.; Kirk, A.; Sun, Y.
- Plasma Physics and Controlled Fusion, Vol. 54, Issue 12
Kinetic energy principle and neoclassical toroidal torque in tokamaks
journal, November 2011
- Park, Jong-Kyu
- Physics of Plasmas, Vol. 18, Issue 11
Plasma rotation and transport in MAST spherical tokamak
journal, April 2011
- Field, A. R.; Michael, C.; Akers, R. J.
- Nuclear Fusion, Vol. 51, Issue 6
Works referencing / citing this record:
Toroidal modeling of interaction between internal kink mode and plasma flow
journal, September 2018
- Zhang, N.; Liu, Y. Q.; Wang, S.
- Physics of Plasmas, Vol. 25, Issue 9
Summary of the 8th Asia-Pacific Transport Working Group (APTWG) Meeting
journal, January 2019
- Shi, Z. B.; Cheng, J.; Xu, Y. H.
- Nuclear Fusion, Vol. 59, Issue 4
Non-linear interplay between edge localized infernal mode and plasma flow
journal, April 2019
- Dong, G. Q.; Liu, Y. Q.; Liu, Y.
- Nuclear Fusion, Vol. 59, Issue 6