Neoclassical toroidal viscosity torque in tokamak edge pedestal induced by external resonant magnetic perturbation

Yan, Xingting; Zhu, Ping; Sun, Youwen

doi:10.1063/1.4989449

Neoclassical toroidal viscosity torque in tokamak edge pedestal induced by external resonant magnetic perturbation

Journal Article · Fri Jul 28 00:00:00 EDT 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4989449· OSTI ID:1535316

Yan, Xingting ^[1]; ^[2]; Sun, Youwen ^[3]

Univ. of Science and Technology of China, Hefei, Anhui (China). CAS Key Lab. of Geospace Environment and Dept. of Modern Physics; DOE/OSTI
Univ. of Science and Technology of China, Hefei, Anhui (China). CAS Key Lab. of Geospace Environment and Dept. of Modern Physics; Univ. of Science and Technology of China, Hefei, Anhui (China). KTX Lab. and Dept. of Modern Physics; Univ. of Wisconsin-Madison, Madison, WI (United States). Dept. of Engineering Physics
Chinese Academy of Sciences (CAS), Hefei, Anhui (China). CAS Inst. of Plasma Physics

The characteristic profile and magnitude are predicted in theory for the neoclassical toroidal viscosity (NTV) torque induced by the plasma response to the resonant magnetic perturbation (RMP) in a tokamak with an edge pedestal. For a low-β equilibrium, the NTV torque is dominated by the toroidal component with the same dominant toroidal mode number of RMPs. The NTV torque profile is found to be localized, whose peak location is determined by profiles of both the equilibrium temperature (pressure) and the plasma response. In general, the peak of the NTV torque profile is found to track the pedestal position. The magnitude of NTV torque strongly depends on the β value at the top of pedestal, which suggests a more significant role of NTV torque in higher plasma β regimes. For a fixed plasma β, decreasing density hence increasing temperature can also enhance the amplitude of NTV torque due to the reduced collisionality in the 1/v regime. Based on those findings, our study identifies the tokamak operation regimes where the significance of NTV torque in the edge pedestal induced by RMP can approach those from other momentum sources such as the neutral beam injections.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, Oakland, CA (United States); Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231; FC02-08ER54975; FG02-86ER53218

OSTI ID:: 1535316

Alternate ID(s):: OSTI ID: 1373145

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 24; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (43)

Alternative Splicing of CHEK2 and Codeletion with NF2 Promote Chromosomal Instability in Meningioma Yang, Hong Wei; Kim, Tae-Min; Song, Sydney S. Neoplasia, Vol. 14, Issue 1 https://doi.org/10.1593/neo.111574	journal	January 2012
Nonlinear magnetohydrodynamics simulation using high-order finite elements Sovinec, C. R.; Glasser, A. H.; Gianakon, T. A. Journal of Computational Physics, Vol. 195, Issue 1 https://doi.org/10.1016/j.jcp.2003.10.004	journal	March 2004
Magnetohydrodynamic-activity-induced toroidal momentum dissipation in collisionless regimes in tokamaks Shaing, K. C. Physics of Plasmas, Vol. 10, Issue 5 https://doi.org/10.1063/1.1567285	journal	May 2003
Perturbation to the magnetic field strength Boozer, Allen H. Physics of Plasmas, Vol. 13, Issue 4 https://doi.org/10.1063/1.2192511	journal	April 2006
Collisional boundary layer analysis for neoclassical toroidal plasma viscosity in tokamaks Shaing, K. C.; Cahyna, P.; Becoulet, M. Physics of Plasmas, Vol. 15, Issue 8 https://doi.org/10.1063/1.2969434	journal	August 2008
Importance of plasma response to nonaxisymmetric perturbations in tokamaks Park, Jong-kyu; Boozer, Allen H.; Menard, Jonathan E. Physics of Plasmas, Vol. 16, Issue 5 https://doi.org/10.1063/1.3122862	journal	May 2009
δf Monte Carlo calculation of neoclassical transport in perturbed tokamaks Kim, Kimin; Park, Jong-Kyu; Kramer, Gerrit J. Physics of Plasmas, Vol. 19, Issue 8 https://doi.org/10.1063/1.4740511	journal	August 2012
Toroidal modeling of penetration of the resonant magnetic perturbation field Liu, Yueqiang; Kirk, A.; Sun, Y. Physics of Plasmas, Vol. 20, Issue 4 https://doi.org/10.1063/1.4799535	journal	April 2013
Neoclassical toroidal viscosity in perturbed equilibria with general tokamak geometry Logan, Nikolas C.; Park, Jong-Kyu; Kim, Kimin Physics of Plasmas, Vol. 20, Issue 12 https://doi.org/10.1063/1.4849395	journal	December 2013
Theory comparison and numerical benchmarking on neoclassical toroidal viscosity torque Wang, Zhirui; Park, Jong-Kyu; Liu, Yueqiang Physics of Plasmas, Vol. 21, Issue 4 https://doi.org/10.1063/1.4869251	journal	April 2014
Bifurcation of poloidal rotation and suppression of turbulent fluctuations: A model for the L–H transition in tokamaks Shaing, K. C.; Crume, E. C.; Houlberg, W. A. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 6 https://doi.org/10.1063/1.859473	journal	June 1990
Theory of perturbed equilibria for solving the Grad–Shafranov equation Zakharov, L. E.; Pletzer, A. Physics of Plasmas, Vol. 6, Issue 12 https://doi.org/10.1063/1.873756	journal	December 1999
Energy loss for grassy ELMs and effects of plasma rotation on the ELM characteristics in JT-60U Oyama, N.; Sakamoto, Y.; Isayama, A. Nuclear Fusion, Vol. 45, Issue 8 https://doi.org/10.1088/0029-5515/45/8/014	journal	July 2005
Inter-machine comparison of intrinsic toroidal rotation in tokamaks Rice, J. E.; Ince-Cushman, A.; deGrassie, J. S. Nuclear Fusion, Vol. 47, Issue 11 https://doi.org/10.1088/0029-5515/47/11/025	journal	October 2007
RMP enhanced transport and rotational screening in simulations of DIII-D plasmas Izzo, V. A.; Joseph, I. Nuclear Fusion, Vol. 48, Issue 11 https://doi.org/10.1088/0029-5515/48/11/115004	journal	September 2008
Influence of toroidal rotation on transport and stability in hybrid scenario plasmas in DIII-D Politzer, P. A.; Petty, C. C.; Jayakumar, R. J. Nuclear Fusion, Vol. 48, Issue 7 https://doi.org/10.1088/0029-5515/48/7/075001	journal	May 2008
Edge pedestal control in quiescent H-mode discharges in DIII-D using co-plus counter-neutral beam injection Burrell, K. H.; Osborne, T. H.; Snyder, P. B. Nuclear Fusion, Vol. 49, Issue 8 https://doi.org/10.1088/0029-5515/49/8/085024	journal	July 2009
Advances in global MHD mode stabilization research on NSTX Sabbagh, S. A.; Berkery, J. W.; Bell, R. E. Nuclear Fusion, Vol. 50, Issue 2 https://doi.org/10.1088/0029-5515/50/2/025020	journal	January 2010
An approximate analytic expression for neoclassical toroidal plasma viscosity in tokamaks Shaing, K. C.; Sabbagh, S. A.; Chu, M. S. Nuclear Fusion, Vol. 50, Issue 2 https://doi.org/10.1088/0029-5515/50/2/025022	journal	January 2010
Modelling of the neoclassical toroidal plasma viscosity torque in tokamaks Sun, Y.; Liang, Y.; Shaing, K. C. Nuclear Fusion, Vol. 51, Issue 5 https://doi.org/10.1088/0029-5515/51/5/053015	journal	April 2011
Non-resonant magnetic braking on JET and TEXTOR Sun, Y.; Liang, Y.; Shaing, K. C. Nuclear Fusion, Vol. 52, Issue 8 https://doi.org/10.1088/0029-5515/52/8/083007	journal	July 2012
Simulation studies of the effect of E × B rotation on neoclassical toroidal viscosity in tokamaks with small magnetic perturbations Satake, S.; Park, J. -K.; Sugama, H. Nuclear Fusion, Vol. 53, Issue 11 https://doi.org/10.1088/0029-5515/53/11/113033	journal	October 2013
Numerical validation of the refined formula of neoclassical toroidal plasma viscosity in tokamaks Sun, Y.; Shaing, K. C.; Liang, Y. Nuclear Fusion, Vol. 53, Issue 7 https://doi.org/10.1088/0029-5515/53/7/073026	journal	June 2013
Experimental analyses and predictive simulations of toroidal rotation driven by the neoclassical toroidal viscosity in rippled tokamaks Honda, M.; Satake, S.; Suzuki, Y. Nuclear Fusion, Vol. 54, Issue 11 https://doi.org/10.1088/0029-5515/54/11/114005	journal	November 2014
ELM suppression in low edge collisionality H-mode discharges using n = 3 magnetic perturbations Burrell, K. H.; Evans, T. E.; Doyle, E. J. Plasma Physics and Controlled Fusion, Vol. 47, Issue 12B https://doi.org/10.1088/0741-3335/47/12B/S04	journal	November 2005
Neoclassical toroidal plasma viscosity in the low collisionality regime for tokamaks Shaing, K. C.; Sabbagh, S. A.; Chu, M. S. Plasma Physics and Controlled Fusion, Vol. 51, Issue 3 https://doi.org/10.1088/0741-3335/51/3/035004	journal	December 2008
Neoclassical toroidal plasma viscosity in the superbanana plateau regime for tokamaks Shaing, K. C.; Sabbagh, S. A.; Chu, M. S. Plasma Physics and Controlled Fusion, Vol. 51, Issue 3 https://doi.org/10.1088/0741-3335/51/3/035009	journal	December 2008
Neoclassical toroidal plasma viscosity in the superbanana regime in tokamaks Shaing, K. C.; Sabbagh, S. A.; Chu, M. S. Plasma Physics and Controlled Fusion, Vol. 51, Issue 5 https://doi.org/10.1088/0741-3335/51/5/055003	journal	February 2009
Eulerian approach to bounce–transit and drift resonance and neoclassical toroidal plasma viscosity in tokamaks Shaing, K. C.; Chu, M. S.; Sabbagh, S. A. Plasma Physics and Controlled Fusion, Vol. 51, Issue 7 https://doi.org/10.1088/0741-3335/51/7/075015	journal	June 2009
Toroidal rotation braking with n = 1 magnetic perturbation field on JET Sun, Y.; Liang, Y.; Koslowski, H. R. Plasma Physics and Controlled Fusion, Vol. 52, Issue 10 https://doi.org/10.1088/0741-3335/52/10/105007	journal	September 2010
Comparison of MHD-induced rotation damping with NTV predictions on MAST Hua, M-D; Chapman, I. T.; Field, A. R. Plasma Physics and Controlled Fusion, Vol. 52, Issue 3 https://doi.org/10.1088/0741-3335/52/3/035009	journal	February 2010
Resonant magnetic perturbations of edge-plasmas in toroidal confinement devices Evans, T. E. Plasma Physics and Controlled Fusion, Vol. 57, Issue 12 https://doi.org/10.1088/0741-3335/57/12/123001	journal	November 2015
Modeling of non-axisymmetric magnetic perturbations in tokamaks Sun, Y.; Liang, Y.; Qian, J. Plasma Physics and Controlled Fusion, Vol. 57, Issue 4 https://doi.org/10.1088/0741-3335/57/4/045003	journal	March 2015
Observation of Plasma Rotation Driven by Static Nonaxisymmetric Magnetic Fields in a Tokamak Garofalo, A. M.; Burrell, K. H.; DeBoo, J. C. Physical Review Letters, Vol. 101, Issue 19 https://doi.org/10.1103/PhysRevLett.101.195005	journal	November 2008
Nonambipolar Transport by Trapped Particles in Tokamaks Park, Jong-kyu; Boozer, Allen H.; Menard, Jonathan E. Physical Review Letters, Vol. 102, Issue 6 https://doi.org/10.1103/PhysRevLett.102.065002	journal	February 2009
Neoclassical Toroidal Plasma Viscosity Torque in Collisionless Regimes in Tokamaks Sun, Y.; Liang, Y.; Shaing, K. C. Physical Review Letters, Vol. 105, Issue 14 https://doi.org/10.1103/PhysRevLett.105.145002	journal	October 2010
Pedestal Bifurcation and Resonant Field Penetration at the Threshold of Edge-Localized Mode Suppression in the DIII-D Tokamak Nazikian, R.; Paz-Soldan, C.; Callen, J. D. Physical Review Letters, Vol. 114, Issue 10 https://doi.org/10.1103/PhysRevLett.114.105002	journal	March 2015
Model of L to H -Mode Transition in Tokamak Itoh, Sanae-I.; Itoh, Kimitaka Physical Review Letters, Vol. 60, Issue 22 https://doi.org/10.1103/PhysRevLett.60.2276	journal	May 1988
Bifurcation theory of poloidal rotation in tokamaks: A model for L-H transition Shaing, K.; Crume, E. Physical Review Letters, Vol. 63, Issue 21 https://doi.org/10.1103/PhysRevLett.63.2369	journal	November 1989
Suppression of Large Edge-Localized Modes in High-Confinement DIII-D Plasmas with a Stochastic Magnetic Boundary Evans, T. E.; Moyer, R. A.; Thomas, P. R. Physical Review Letters, Vol. 92, Issue 23 https://doi.org/10.1103/PhysRevLett.92.235003	journal	June 2004
Observation of Plasma Toroidal-Momentum Dissipation by Neoclassical Toroidal Viscosity Zhu, W.; Sabbagh, S. A.; Bell, R. E. Physical Review Letters, Vol. 96, Issue 22 https://doi.org/10.1103/PhysRevLett.96.225002	journal	June 2006
Active Control of Type-I Edge-Localized Modes with n = 1 Perturbation Fields in the JET Tokamak Liang, Y.; Koslowski, H. R.; Thomas, P. R. Physical Review Letters, Vol. 98, Issue 26 https://doi.org/10.1103/PhysRevLett.98.265004	journal	June 2007
Suppression of turbulence and transport by sheared flow Terry, P. W. Reviews of Modern Physics, Vol. 72, Issue 1 https://doi.org/10.1103/RevModPhys.72.109	journal	January 2000

Similar Records

Neoclassical toroidal viscosity torque prediction via deep learning

Journal Article · Wed Dec 22 19:00:00 EST 2021 · Nuclear Fusion · OSTI ID:1836829

Neoclassical Toroidal Plasma Viscosity Torque in Collisionless Regimes in Tokamaks

Journal Article · Fri Oct 01 00:00:00 EDT 2010 · Physical Review Letters · OSTI ID:21466992

Modeling of toroidal torques exerted by internal kink instability in a tokamak plasma

Journal Article · Sun Jul 23 20:00:00 EDT 2017 · Physics of Plasmas · OSTI ID:1535333

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
physics

Neoclassical toroidal viscosity torque in tokamak edge pedestal induced by external resonant magnetic perturbation

Citation Formats

References (43)

Similar Records

Related Subjects