Toroidal modeling of thermal particle drift kinetic effects and sub-sonic plasma flow on internal kink mode
Abstract
The stability of the n = 1 (n is the toroidal mode number) internal kink mode in a tokamak plasma is numerically investigated, utilizing the full toroidal, ideal magnetohydrodynamic (MHD) code MARS-F [Y. Q. Liu et al., Phys. Plasmas 7, 3681 (2000)] and the nonperturbative MHD-kinetic hybrid code MARS-K [Y. Liu et al., Phys. Plasmas 15, 112503 (2008)]. This study focuses on two physics effects: the sheared toroidal flow of plasma and the drift kinetic effects from thermal particles (ions and electrons) on the internal kink instability. Within the subsonic flow assumption, the flow and flow shear effects on the internal kink are generally weak, but the kinetic effects can be strong. A significant reduction in the mode growth rate is predicted by the nonperturbative MHD-kinetic hybrid computations, when the precessional drift resonance contributions from both particle species are included and when the mode is not too strongly unstable according to the fluid theory. The stabilization/destabilization of sheared toroidal flow depends on the radial location of the local flow shear. Strong destabilization (stabilization) occurs when a negative (positive) flow shear is located near the q = 1 rational surface.
- Authors:
-
- Dalian University of Technology (China)
- General Atomics, San Diego, CA (United States)
- Southwestern Institute of Physics, Chengdu (China)
- Publication Date:
- Research Org.:
- General Atomics, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1799656
- Grant/Contract Number:
- FC02-04ER54698; FG02-95ER54309
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 26; Journal Issue: 10; 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; Plasma confinement; Magnetic fields; Plasma dynamics; Coriolis effects; Thermodynamic properties; Plasma flows; Tokamaks; Plasma instabilities; Kinematics; Fluid flows
Citation Formats
Wu, Tingting, Liu, Yueqiang, Liu, Yue, Zhou, Lina, and He, Hongda. Toroidal modeling of thermal particle drift kinetic effects and sub-sonic plasma flow on internal kink mode. United States: N. p., 2019.
Web. doi:10.1063/1.5111583.
Wu, Tingting, Liu, Yueqiang, Liu, Yue, Zhou, Lina, & He, Hongda. Toroidal modeling of thermal particle drift kinetic effects and sub-sonic plasma flow on internal kink mode. United States. https://doi.org/10.1063/1.5111583
Wu, Tingting, Liu, Yueqiang, Liu, Yue, Zhou, Lina, and He, Hongda. Tue .
"Toroidal modeling of thermal particle drift kinetic effects and sub-sonic plasma flow on internal kink mode". United States. https://doi.org/10.1063/1.5111583. https://www.osti.gov/servlets/purl/1799656.
@article{osti_1799656,
title = {Toroidal modeling of thermal particle drift kinetic effects and sub-sonic plasma flow on internal kink mode},
author = {Wu, Tingting and Liu, Yueqiang and Liu, Yue and Zhou, Lina and He, Hongda},
abstractNote = {The stability of the n = 1 (n is the toroidal mode number) internal kink mode in a tokamak plasma is numerically investigated, utilizing the full toroidal, ideal magnetohydrodynamic (MHD) code MARS-F [Y. Q. Liu et al., Phys. Plasmas 7, 3681 (2000)] and the nonperturbative MHD-kinetic hybrid code MARS-K [Y. Liu et al., Phys. Plasmas 15, 112503 (2008)]. This study focuses on two physics effects: the sheared toroidal flow of plasma and the drift kinetic effects from thermal particles (ions and electrons) on the internal kink instability. Within the subsonic flow assumption, the flow and flow shear effects on the internal kink are generally weak, but the kinetic effects can be strong. A significant reduction in the mode growth rate is predicted by the nonperturbative MHD-kinetic hybrid computations, when the precessional drift resonance contributions from both particle species are included and when the mode is not too strongly unstable according to the fluid theory. The stabilization/destabilization of sheared toroidal flow depends on the radial location of the local flow shear. Strong destabilization (stabilization) occurs when a negative (positive) flow shear is located near the q = 1 rational surface.},
doi = {10.1063/1.5111583},
journal = {Physics of Plasmas},
number = 10,
volume = 26,
place = {United States},
year = {Tue Oct 01 00:00:00 EDT 2019},
month = {Tue Oct 01 00:00:00 EDT 2019}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Rotation and Kinetic Modifications of the Tokamak Ideal-Wall Pressure Limit
journal, December 2014
- Menard, J. E.; Wang, Z.; Liu, Y.
- Physical Review Letters, Vol. 113, Issue 25
Modelling resistive wall modes in ITER with self-consistent inclusion of drift kinetic resonances
journal, February 2009
- Liu, Yueqiang; Chu, M. S.; Chapman, I. T.
- Nuclear Fusion, Vol. 49, Issue 3
The physics of sawtooth stabilization
journal, November 2007
- Chapman, I. T.; Pinches, S. D.; Graves, J. P.
- Plasma Physics and Controlled Fusion, Vol. 49, Issue 12B
Cancellation of drift kinetic effects between thermal and energetic particles on the resistive wall mode stabilization
journal, June 2016
- Guo, S. C.; Liu, Y. Q.; Xu, X. Y.
- Nuclear Fusion, Vol. 56, Issue 7
Sawtooth control and the interaction of energetic particles
journal, February 2009
- Chapman, I. T.; Igochine, V. G.; Graves, J. P.
- Nuclear Fusion, Vol. 49, Issue 3
Electrostatic modification of variational principles for anisotropic plasmas
journal, January 1982
- Antonsen, T. M.
- Physics of Fluids, Vol. 25, Issue 1
Non‐uniform rotation and the resistive wall mode
journal, October 1996
- Gimblett, C. G.; Hastie, R. J.; Van der Linden, R. A. M.
- Physics of Plasmas, Vol. 3, Issue 10
Sawtooth Stabilization by Energetic Trapped Particles
journal, May 1988
- White, R. B.; Rutherford, P. H.; Colestock, P.
- Physical Review Letters, Vol. 60, Issue 20
Linear stability and nonlinear dynamics of the fishbone mode in spherical tokamaks
journal, October 2013
- Wang, Feng; Fu, G. Y.; Breslau, J. A.
- Physics of Plasmas, Vol. 20, Issue 10
High- , Sawtooth-Free Tokamak Operation Using Energetic Trapped Particles
journal, January 1989
- White, R. B.; Bussac, M. N.; Romanelli, F.
- Physical Review Letters, Vol. 62, Issue 5
Kinetic calculation of the resistive wall mode and fishbone-like mode instability in tokamak
journal, June 2016
- Hao, G. Z.; Yang, S. X.; Liu, Y. Q.
- Physics of Plasmas, Vol. 23, Issue 6
Influence of rotation profiles on stabilization of resistive wall modes
journal, October 2001
- Gregoratto, D.; Bondeson, A.; Chu, M. S.
- Plasma Physics and Controlled Fusion, Vol. 43, Issue 11
Synergetic effects of magnetic feedback and plasma flow on resistive wall mode stability in tokamaks
journal, July 2014
- Xia, Guoliang; Liu, Yue; Liu, Yueqiang
- Plasma Physics and Controlled Fusion, Vol. 56, Issue 9
Modeling sawtooth stabilization by energetic ions from neutral beam injection
journal, July 2007
- Chapman, I. T.; Pinches, S. D.; Appel, L. C.
- Physics of Plasmas, Vol. 14, Issue 7
The CHEASE code for toroidal MHD equilibria
journal, September 1996
- Lütjens, H.; Bondeson, A.; Sauter, O.
- Computer Physics Communications, Vol. 97, Issue 3
Effects of plasma shear flow on the RWM stability in ITER
journal, May 2015
- Liu, Chao; Liu, Yueqiang; Liu, Yue
- Nuclear Fusion, Vol. 55, Issue 6
Stabilization of the internal kink mode in a tokamak by toroidal plasma rotation
journal, March 2000
- Wahlberg, C.; Bondeson, A.
- Physics of Plasmas, Vol. 7, Issue 3
Dynamic evolution of resistive kink mode with electron diamagnetic drift in tokamaks
journal, April 2019
- Zhang, W.; Ma, Z. W.; Zhang, H. W.
- Physics of Plasmas, Vol. 26, Issue 4
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
Simulation of non-resonant internal kink mode with toroidal rotation in the National Spherical Torus Experiment
journal, July 2013
- Wang, Feng; Fu, G. Y.; Breslau, J. A.
- Physics of Plasmas, Vol. 20, Issue 7
Wall Stabilization of High Beta Tokamak Discharges in DIII-D
journal, March 1995
- Strait, E. J.; Taylor, T. S.; Turnbull, A. D.
- Physical Review Letters, Vol. 74, Issue 13
Importance of centrifugal effects for the internal kink mode stability in toroidally rotating tokamak plasmas
journal, November 2009
- Wahlberg, C.; Chapman, I. T.; Graves, J. P.
- Physics of Plasmas, Vol. 16, Issue 11
Influence of trapped thermal particles on internal kink modes in high temperature tokamaks
journal, November 1993
- Antonsen, T. M.; Bondeson, Anders
- Physics of Fluids B: Plasma Physics, Vol. 5, Issue 11
Ideal stability of cylindrical plasma in the presence of mass flow
journal, July 1989
- Bondeson, A.; Iacono, R.
- Physics of Fluids B: Plasma Physics, Vol. 1, Issue 7
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
Stability Analysis of Resistive Wall Kink Modes in Rotating Plasmas
journal, April 1995
- Betti, R.; Freidberg, J. P.
- Physical Review Letters, Vol. 74, Issue 15
Gyroscopic stabilization of the internal kink mode
journal, March 1996
- Waelbroeck, F. L.
- Physics of Plasmas, Vol. 3, Issue 3
Solution of the drift‐kinetic equation for global plasma modes and finite particle orbit widths
journal, March 1994
- Porcelli, F.; Stankiewicz, R.; Kerner, W.
- Physics of Plasmas, Vol. 1, Issue 3
Fast particle stabilisation
journal, November 1991
- Porcelli, F.
- Plasma Physics and Controlled Fusion, Vol. 33, Issue 13
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
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
Influence of toroidal rotation on resistive tearing modes in tokamaks
journal, December 2015
- Wang, S.; Ma, Z. W.
- Physics of Plasmas, Vol. 22, Issue 12
A comparative study of ideal kink stability in two reactor-relevant tokamak plasma configurations with negative and positive triangularity
journal, September 2016
- Ren, Jing; Liu, Yueqiang; Liu, Yue
- Plasma Physics and Controlled Fusion, Vol. 58, Issue 11
Resistive wall mode control code maturity: progress and specific examples
journal, September 2010
- Liu, Yueqiang; Chu, M. S.; Guo, W. F.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 10
The effect of plasma profile variation on the stability of the n = 1 internal kink mode in rotating tokamak plasmas
journal, January 2010
- Chapman, I. T.; Graves, J. P.; Wahlberg, C.
- Nuclear Fusion, Vol. 50, Issue 2
Kinetic stability of the internal kink mode in ITER
journal, November 2006
- Hu, Bo; Betti, R.; Manickam, J.
- Physics of Plasmas, Vol. 13, Issue 11
Benchmarking kinetic calculations of resistive wall mode stability
journal, May 2014
- Berkery, J. W.; Liu, Y. Q.; Wang, Z. R.
- Physics of Plasmas, Vol. 21, Issue 5
Toroidal modelling of resistive internal kink and fishbone instabilities
journal, May 2018
- Wu, Tingting; He, Hongda; Liu, Yueqiang
- Physics of Plasmas, Vol. 25, Issue 5
The effects of sheared toroidal plasma rotation on the internal kink mode in the banana regime
journal, October 2000
- Graves, J. P.; Hastie, R. J.; Hopcraft, K. I.
- Plasma Physics and Controlled Fusion, Vol. 42, Issue 10
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
Three-Dimensional Drift Kinetic Response of High- Plasmas in the DIII-D Tokamak
journal, April 2015
- Wang, Z. R.; Lanctot, M. J.; Liu, Y. Q.
- Physical Review Letters, Vol. 114, Issue 14
Local magnetohydrodynamic instabilities of cylindrical plasma with sheared equilibrium flows
journal, January 1987
- Bondeson, A.; Iacono, R.; Bhattacharjee, A.
- Physics of Fluids, Vol. 30, Issue 7
Non-perturbative modelling of energetic particle effects on resistive wall mode: Anisotropy and finite orbit width
journal, May 2014
- Liu, Yueqiang; Chapman, I. T.; Graves, J. P.
- Physics of Plasmas, Vol. 21, Issue 5