A resistive MHD model and simulation on plasma flow evolution in the presence of resonant magnetic perturbation in a tokamak

Zhu, Ping; Ma, Fangyuan; Yan, Xingting; Huang, Wenlong

doi:10.1063/5.0085883

A resistive MHD model and simulation on plasma flow evolution in the presence of resonant magnetic perturbation in a tokamak

Journal Article · Fri Jul 01 00:00:00 EDT 2022 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0085883· OSTI ID:1979053

^[1]; ^[2]; Yan, Xingting ^[3]; ^[4]

Huazhong Univ. of Science and Technology, Wuhan (China); Univ. of Wisconsin, Madison, WI (United States); Huazhong Univ. of Science and Technology, Wuhan (China)
Huazhong Univ. of Science and Technology, Wuhan (China)
Univ. of Science and Technology of China, Hefei (China)
Anhui University of Technology (China)

Nonaxisymmetric magnetic fields such as the intrinsic error field and the externally applied resonant magnetic perturbation (RMP) in a tokamak are known to influence the plasma momentum transport and flow evolution through plasma response, which itself strongly depends on the plasma flow as well. The nonlinear interaction between plasma response and flow has been previously modeled in the conventional error field theory with the “no-slip” condition, which has been recently extended to allow the “free-slip” condition. In this work, we further target this specific process and numerically simulate the nonlinear plasma response and flow evolution in the presence of a single-helicity RMP in a circular-shaped model tokamak configuration, based on the full resistive MHD model in the initial-value code NIMROD. Time evolution of the parallel (to k) flow or “slip frequency” profile and its asymptotic steady state obtained from the NIMROD simulations are compared with both conventional and extended nonlinear response theories. Here, k is the wave vector of the propagating island. Good agreement with the extended theory with free-slip condition has been achieved for the parallel flow profile evolution in response to RMP in all resistive regimes, whereas the difference from the conventional theory with the no-slip condition tends to diminish as the plasma resistivity approaches zero.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: National Magnetic Confinement Fusion Program of China; National Natural Science Foundation of China; USDOE; USDOE Office of Science (SC); Young Elite Scientists Sponsorship Program by CAST

Grant/Contract Number:: FG02-86ER53218; SC0018001

OSTI ID:: 1979053

Alternate ID(s):: OSTI ID: 1874745

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 7 Vol. 29; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

References (51)

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
Pedestal, SOL and divertor plasma properties in DIII-D RMP ELM-suppressed discharges at ITER relevant edge collisionality Fenstermacher, M. E.; Evans, T. E.; Moyer, R. A. Journal of Nuclear Materials, Vol. 363-365 https://doi.org/10.1016/j.jnucmat.2007.01.270	journal	June 2007
Nonlinear dynamo mode dynamics in reversed field pinches Fitzpatrick, Richard; Yu, Edmund P. Physics of Plasmas, Vol. 7, Issue 9 https://doi.org/10.1063/1.1286990	journal	September 2000
Phase-locking of tearing modes in the reversed field experiment Fitzpatrick, Richard; Zanca, Paolo Physics of Plasmas, Vol. 9, Issue 6 https://doi.org/10.1063/1.1481057	journal	June 2002
Bifurcation of generic metastable tearing modes interacting with resonant magnetic fields Coelho, R.; Lazzaro, E. Physics of Plasmas, Vol. 11, Issue 4 https://doi.org/10.1063/1.1649992	journal	April 2004
Nonlinear growth of the tearing mode Rutherford, P. H. Physics of Fluids, Vol. 16, Issue 11 https://doi.org/10.1063/1.1694232	journal	January 1973
Rigorous approach to the nonlinear saturation of the tearing mode in cylindrical and slab geometry Arcis, N.; Escande, D. F.; Ottaviani, M. Physics of Plasmas, Vol. 13, Issue 5 https://doi.org/10.1063/1.2199208	journal	May 2006
Full toroidal plasma response to externally applied nonaxisymmetric magnetic fields Liu, Yueqiang; Kirk, A.; Nardon, E. Physics of Plasmas, Vol. 17, Issue 12 https://doi.org/10.1063/1.3526677	journal	December 2010
Toroidal curvature induced screening of external fields by a resistive plasma response Liu, Yueqiang; Connor, J. W.; Cowley, S. C. Physics of Plasmas, Vol. 19, Issue 7 https://doi.org/10.1063/1.4739062	journal	July 2012
Continuum resonance induced electromagnetic torque by a rotating plasma response to static resonant magnetic perturbation field Liu, Yueqiang; Connor, J. W.; Cowley, S. C. Physics of Plasmas, Vol. 19, Issue 10 https://doi.org/10.1063/1.4759205	journal	October 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
Understanding the effect of resonant magnetic perturbations on tearing mode dynamics Hu, Qiming; Rao, Bo; Yu, Q. Physics of Plasmas, Vol. 20, Issue 9 https://doi.org/10.1063/1.4820800	journal	September 2013
Rotation characteristics during the resonant magnetic perturbation induced edge localized mode suppression on the KSTAR Ko, Won-Ha; Lee, H. H.; Jeon, Y. M. Review of Scientific Instruments, Vol. 85, Issue 11 https://doi.org/10.1063/1.4890402	journal	November 2014
Linear and nonlinear response of a rotating tokamak plasma to a resonant error-field Fitzpatrick, Richard Physics of Plasmas, Vol. 21, Issue 9 https://doi.org/10.1063/1.4896244	journal	September 2014
Mode locking and island suppression by resonant magnetic perturbations in Rutherford regime Huang, Wenlong; Zhu, Ping Physics of Plasmas, Vol. 22, Issue 3 https://doi.org/10.1063/1.4913989	journal	March 2015
The locking and unlocking thresholds for tearing modes in a cylindrical tokamak Huang, Wenlong; Zhu, Ping Physics of Plasmas, Vol. 23, Issue 3 https://doi.org/10.1063/1.4943411	journal	March 2016
Nonlinear modeling of forced magnetic reconnection in slab geometry with NIMROD Beidler, M. T.; Callen, J. D.; Hegna, C. C. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4982814	journal	May 2017
Mode penetration induced by transient magnetic perturbations Beidler, M. T.; Callen, J. D.; Hegna, C. C. Physics of Plasmas, Vol. 25, Issue 8 https://doi.org/10.1063/1.5046076	journal	August 2018
Analytical model of plasma response to external magnetic perturbation in absence of no-slip condition Huang, Wenlong; Zhu, Ping Physics of Plasmas, Vol. 27, Issue 2 https://doi.org/10.1063/1.5129085	journal	February 2020
Nonlinear error field response in the presence of plasma rotation and real frequencies due to favorable curvature Akçay, Cihan; Finn, John M.; Cole, Andrew J. Physics of Plasmas, Vol. 27, Issue 3 https://doi.org/10.1063/1.5144470	journal	March 2020
The interaction of resonant magnetic perturbations with rotating plasmas Fitzpatrick, R.; Hender, T. C. Physics of Fluids B: Plasma Physics, Vol. 3, Issue 3 https://doi.org/10.1063/1.859863	journal	March 1991
Resistive instabilities in general toroidal plasma configurations Glasser, A. H.; Greene, J. M.; Johnson, J. L. Physics of Fluids, Vol. 18, Issue 7 https://doi.org/10.1063/1.861224	journal	January 1975
Forced magnetic reconnection Hahm, T. S.; Kulsrud, R. M. Physics of Fluids, Vol. 28, Issue 8 https://doi.org/10.1063/1.865247	journal	January 1985
Feedback control of rotating resistive modes Lazzaro, E.; Nave, M. F. F. Physics of Fluids, Vol. 31, Issue 6 https://doi.org/10.1063/1.867004	journal	January 1988
Effect of a static external magnetic perturbation on resistive mode stability in tokamaks Fitzpatrick, R.; Hender, T. C. Physics of Plasmas, Vol. 1, Issue 10 https://doi.org/10.1063/1.870918	journal	October 1994
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
Mode locking in tokamaks Nave, M. F. F.; Wesson, J. A. Nuclear Fusion, Vol. 30, Issue 12 https://doi.org/10.1088/0029-5515/30/12/011	journal	December 1990
Interaction of tearing modes with external structures in cylindrical geometry (plasma) Fitzpatrick, R. Nuclear Fusion, Vol. 33, Issue 7 https://doi.org/10.1088/0029-5515/33/7/I08	journal	July 1993
The KSTAR project: An advanced steady state superconducting tokamak experiment Lee, G. S.; Kim, J.; Hwang, S. M. Nuclear Fusion, Vol. 40, Issue 3Y https://doi.org/10.1088/0029-5515/40/3Y/319	journal	March 2000
A design retrospective of the DIII-D tokamak Luxon, J. L. Nuclear Fusion, Vol. 42, Issue 5 https://doi.org/10.1088/0029-5515/42/5/313	journal	May 2002
Suppression of large edge localized modes with edge resonant magnetic fields in high confinement DIII-D plasmas Evans, T. E.; Moyer, R. A.; Watkins, J. G. Nuclear Fusion, Vol. 45, Issue 7 https://doi.org/10.1088/0029-5515/45/7/007	journal	June 2005
Chapter 4: Power and particle control Loarte, A.; Lipschultz, B.; Kukushkin, A. S. Nuclear Fusion, Vol. 47, Issue 6 https://doi.org/10.1088/0029-5515/47/6/S04	journal	June 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
RMP ELM suppression in DIII-D plasmas with ITER similar shapes and collisionalities Evans, T. E.; Fenstermacher, M. E.; Moyer, R. A. Nuclear Fusion, Vol. 48, Issue 2 https://doi.org/10.1088/0029-5515/48/2/024002	journal	January 2008
Physics of penetration of resonant magnetic perturbations used for Type I edge localized modes suppression in tokamaks Bécoulet, M.; Huysmans, G.; Garbet, X. Nuclear Fusion, Vol. 49, Issue 8 https://doi.org/10.1088/0029-5515/49/8/085011	journal	July 2009
Quasi-linear MHD modelling of H-mode plasma response to resonant magnetic perturbations Nardon, E.; Tamain, P.; Bécoulet, M. Nuclear Fusion, Vol. 50, Issue 3 https://doi.org/10.1088/0029-5515/50/3/034002	journal	February 2010
Effect of externally applied resonant magnetic perturbations on resistive tearing modes Hu, Qiming; Yu, Q.; Rao, Bo Nuclear Fusion, Vol. 52, Issue 8 https://doi.org/10.1088/0029-5515/52/8/083011	journal	July 2012
Modelling of the penetration process of externally applied helical magnetic perturbation of the DED on the TEXTOR tokamak Kikuchi, Y.; Finken, K. H.; Jakubowski, M. Plasma Physics and Controlled Fusion, Vol. 48, Issue 2 https://doi.org/10.1088/0741-3335/48/2/001	journal	January 2006
Avoidance of tearing modes wall-locking in a reversed field pinch with active feedback coils Zanca, P. Plasma Physics and Controlled Fusion, Vol. 51, Issue 1 https://doi.org/10.1088/0741-3335/51/1/015006	journal	December 2008
Simulation of feedback control on tearing modes using different sensors in a reversed field pinch and application to the Keda Torus eXperiment Li, Chenguang; Zanca, Paolo; Liu, Wandong Plasma Physics and Controlled Fusion, Vol. 56, Issue 7 https://doi.org/10.1088/0741-3335/56/7/075015	journal	June 2014
Response of plasma rotation to resonant magnetic perturbations in J-TEXT tokamak Yan, W.; Chen, Z. Y.; Huang, D. W. Plasma Physics and Controlled Fusion, Vol. 60, Issue 3 https://doi.org/10.1088/1361-6587/aa9c14	journal	January 2018
Multi-scale interactions between turbulence and magnetic islands and parity mixture—a review Ishizawa, A.; Kishimoto, Y.; Nakamura, Y. Plasma Physics and Controlled Fusion, Vol. 61, Issue 5 https://doi.org/10.1088/1361-6587/ab06a8	journal	March 2019
Edge localized mode control using n = 1 resonant magnetic perturbation in the EAST tokamak Sun, Y.; Jia, M.; Zang, Q. Nuclear Fusion, Vol. 57, Issue 3 https://doi.org/10.1088/1741-4326/57/3/036007	journal	December 2016
The role of edge resonant magnetic perturbations in edge-localized-mode suppression and density pump-out in low-collisionality DIII-D plasmas Hu, Q. M.; Nazikian, R.; Grierson, B. A. Nuclear Fusion, Vol. 60, Issue 7 https://doi.org/10.1088/1741-4326/ab8545	journal	May 2020
Quasi-linear theory of forced magnetic reconnection for the transition from the linear to the Rutherford regime Huang, Wenlong; Zhu, Ping Nuclear Fusion, Vol. 61, Issue 3 https://doi.org/10.1088/1741-4326/abdb90	journal	February 2021
Overview of the J-TEXT progress on RMP and disruption physics Ding, Yonghua; Chen, Zhongyong; Chen, Zhipeng Plasma Science and Technology, Vol. 20, Issue 12 https://doi.org/10.1088/2058-6272/aadcfd	journal	October 2018
Suppression of Edge Localized Modes in High-Confinement KSTAR Plasmas by Nonaxisymmetric Magnetic Perturbations Jeon, Y. M.; Park, J. -K.; Yoon, S. W. Physical Review Letters, Vol. 109, Issue 3 https://doi.org/10.1103/PhysRevLett.109.035004	journal	July 2012
Nonlinear Transition from Mitigation to Suppression of the Edge Localized Mode with Resonant Magnetic Perturbations in the EAST Tokamak Sun, Y.; Liang, Y.; Liu, Y. Q. Physical Review Letters, Vol. 117, Issue 11 https://doi.org/10.1103/PhysRevLett.117.115001	journal	September 2016
Finite Larmor-Radius Theory of Magnetic Island Evolution Waelbroeck, F. L.; Connor, J. W.; Wilson, H. R. Physical Review Letters, Vol. 87, Issue 21 https://doi.org/10.1103/PhysRevLett.87.215003	journal	November 2001
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
Generic structure of externally driven tearing modes instabilities Lazzaro, E.; Coelho, R. The European Physical Journal D, Vol. 19, Issue 1 https://doi.org/10.1140/epjd/e20020060	journal	April 2002

Similar Records

Analytical model of plasma response to external magnetic perturbation in absence of no-slip condition

Journal Article · Tue Feb 18 19:00:00 EST 2020 · Physics of Plasmas · OSTI ID:1800634

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Dynamical systems
Magnetic confinement fusion
Magnetic reconnection
Magnetohydrodynamics
Physics
Plasma confinement
Plasma flows
Plasma properties and parameters
Plasma simulation
Tokamaks
Torque

A resistive MHD model and simulation on plasma flow evolution in the presence of resonant magnetic perturbation in a tokamak

Citation Formats

References (51)

Similar Records

Related Subjects