Nonlinear modeling of forced magnetic reconnection in slab geometry with NIMROD

Beidler, M. T.; Callen, J. D.; Hegna, C. C.; Sovinec, C. R.

doi:10.1063/1.4982814

Title: Nonlinear modeling of forced magnetic reconnection in slab geometry with NIMROD

Journal Article · Thu May 04 00:00:00 EDT 2017 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4982814· OSTI ID:1465764

^[1]; Callen, J. D. ^[1];

^[1]; Sovinec, C. R. ^[1]

Univ. of Wisconsin, Madison, WI (United States). Dept. of Engineering Physics

The nonlinear, extended-magnetohydrodynamic (MHD) code NIMROD is benchmarked with the theory of time-dependent forced magnetic reconnection induced by small resonant fields in slab geometry in the context of visco-resistive MHD modeling.

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

Sponsoring Organization:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: FG02-92ER54139; FG02-86ER53218; SC0014664

OSTI ID:: 1465764

Alternate ID(s):: OSTI ID: 1361862

Journal Information:: Physics of Plasmas, Vol. 24, Issue 5; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

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Cited by: 14 works

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References (63)

Computation of three-dimensional tokamak and spherical torus equilibria Park, Jong-kyu; Boozer, Allen H.; Glasser, Alan H. Physics of Plasmas, Vol. 14, Issue 5 https://doi.org/10.1063/1.2732170	journal	May 2007
Current sheets and nonlinear growth of the m =1 kink‐tearing mode Waelbroeck, F. L. Physics of Fluids B: Plasma Physics, Vol. 1, Issue 12 https://doi.org/10.1063/1.859172	journal	December 1989
Neoclassical toroidal viscosity and error-field penetration in tokamaks Cole, A. J.; Hegna, C. C.; Callen, J. D. Physics of Plasmas, Vol. 15, Issue 5 https://doi.org/10.1063/1.2838241	journal	May 2008
A drift-magnetohydrodynamical fluid model of helical magnetic island equilibria in the pedestals of H-mode tokamak plasmas Fitzpatrick, R.; Waelbroeck, F. L. Physics of Plasmas, Vol. 17, Issue 6 https://doi.org/10.1063/1.3432720	journal	June 2010
Non-linear MHD modeling of edge localized mode cycles and mitigation by resonant magnetic perturbations Orain, François; Bécoulet, M.; Morales, J. Plasma Physics and Controlled Fusion, Vol. 57, Issue 1 https://doi.org/10.1088/0741-3335/57/1/014020	journal	November 2014
Non-linear modeling of the plasma response to RMPs in ASDEX Upgrade Orain, F.; Hölzl, M.; Viezzer, E. Nuclear Fusion, Vol. 57, Issue 2 https://doi.org/10.1088/0029-5515/57/2/022013	journal	September 2016
Stability of coupled tearing and twisting modes in tokamaks Fitzpatrick, Richard Physics of Plasmas, Vol. 1, Issue 10 https://doi.org/10.1063/1.870482	journal	October 1994
Forced Magnetic Reconnection Kulsrud, R. M.; Hahm, T. S. Physica Scripta, Vol. T2B https://doi.org/10.1088/0031-8949/1982/T2B/034	journal	January 1982
Bifurcated states of a rotating tokamak plasma in the presence of a static error-field Fitzpatrick, Richard Physics of Plasmas, Vol. 5, Issue 9 https://doi.org/10.1063/1.873000	journal	September 1998
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
Drift-magnetohydrodynamical model of error-field penetration in tokamak plasmas Cole, A.; Fitzpatrick, R. Physics of Plasmas, Vol. 13, Issue 3 https://doi.org/10.1063/1.2178167	journal	March 2006
Calculations of two-fluid linear response to non-axisymmetric fields in tokamaks Ferraro, N. M. Physics of Plasmas, Vol. 19, Issue 5 https://doi.org/10.1063/1.3694657	journal	May 2012
Modelling toroidal rotation damping in ITER due to external 3D fields Liu, Yueqiang; Akers, R.; Chapman, I. T. Nuclear Fusion, Vol. 55, Issue 6 https://doi.org/10.1088/0029-5515/55/6/063027	journal	May 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
Extended MHD simulation of resonant magnetic perturbations Strauss, H. R.; Sugiyama, L.; Park, G. Y. Nuclear Fusion, Vol. 49, Issue 5 https://doi.org/10.1088/0029-5515/49/5/055025	journal	April 2009
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
Numerical study of nonlinear forced magnetic reconnection Browning, P. K.; Kawaguchi, J.; Kusano, K. Physics of Plasmas, Vol. 8, Issue 1 https://doi.org/10.1063/1.1329151	journal	January 2001
Forced magnetic reconnection Birn, J. Geophysical Research Letters, Vol. 32, Issue 6 https://doi.org/10.1029/2004GL022058	journal	January 2005
Kinetic estimate of the shielding of resonant magnetic field perturbations by the plasma in DIII-D Heyn, Martin F.; Ivanov, Ivan B.; Kasilov, Sergei V. Nuclear Fusion, Vol. 48, Issue 2 https://doi.org/10.1088/0029-5515/48/2/024005	journal	January 2008
Forced reconnection and current sheet formation in Taylor’s model Wang, Xiaogang; Bhattacharjee, A. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 7 https://doi.org/10.1063/1.860035	journal	March 1992
Numerical modelling of error field penetration Yu, Q.; Günter, S.; Kikuchi, Y. Nuclear Fusion, Vol. 48, Issue 2 https://doi.org/10.1088/0029-5515/48/2/024007	journal	January 2008
On the cause of thin current sheets in the near-Earth magnetotail and their possible significance for magnetospheric substorms Schindler, K.; Birn, J. Journal of Geophysical Research, Vol. 98, Issue A9 https://doi.org/10.1029/93JA01047	journal	January 1993
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
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
Simulation of magnetic island dynamics under resonant magnetic perturbation with the TEAR code and validation of the results on T-10 tokamak data Ivanov, N. V.; Kakurin, A. M. Physics of Plasmas, Vol. 21, Issue 10 https://doi.org/10.1063/1.4897174	journal	October 2014
Two‐dimensional magnetohydrodynamic simulation of a flowing plasma interacting with an externally imposed magnetic field Hurricane, O. A.; Jensen, T. H.; Hassam, A. B. Physics of Plasmas, Vol. 2, Issue 6 https://doi.org/10.1063/1.871283	journal	June 1995
Nonlinear dynamics in forced reconnection Rem, J.; Schep, T. J. Plasma Physics and Controlled Fusion, Vol. 40, Issue 1 https://doi.org/10.1088/0741-3335/40/1/008	journal	January 1998
Effects of resistivity and rotation on the linear plasma response to non-axisymmetric magnetic perturbations on DIII-D Haskey, S. R.; Lanctot, M. J.; Liu, Y. Q. Plasma Physics and Controlled Fusion, Vol. 57, Issue 2 https://doi.org/10.1088/0741-3335/57/2/025015	journal	January 2015
Characteristics of type I ELM energy and particle losses in existing devices and their extrapolation to ITER Loarte, A.; Saibene, G.; Sartori, R. Plasma Physics and Controlled Fusion, Vol. 45, Issue 9 https://doi.org/10.1088/0741-3335/45/9/302	journal	August 2003
Sweet's mechanism for merging magnetic fields in conducting fluids Parker, E. N. Journal of Geophysical Research, Vol. 62, Issue 4 https://doi.org/10.1029/JZ062i004p00509	journal	December 1957
Dynamics of resonant magnetic field penetration and plasma rotation Ivanov, N. V.; Kakurin, A. M. Nuclear Fusion, Vol. 57, Issue 1 https://doi.org/10.1088/0029-5515/57/1/016021	journal	November 2016
Chapter 3: MHD stability, operational limits and disruptions Hender, T. C.; Wesley, J. C.; Bialek, J. Nuclear Fusion, Vol. 47, Issue 6 https://doi.org/10.1088/0029-5515/47/6/S03	journal	June 2007
Energy release and plasma heating by forced magnetic reconnection Vekstein, G. E.; Jain, Rekha Physics of Plasmas, Vol. 5, Issue 5 https://doi.org/10.1063/1.872809	journal	May 1998
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
Reconnection rates of magnetic fields including the effects of viscosity Park, W.; Monticello, D. A.; White, R. B. Physics of Fluids, Vol. 27, Issue 1 https://doi.org/10.1063/1.864502	journal	January 1984
Effect of Neoclassical Toroidal Viscosity on Error-Field Penetration Thresholds in Tokamak Plasmas Cole, A. J.; Hegna, C. C.; Callen, J. D. Physical Review Letters, Vol. 99, Issue 6 https://doi.org/10.1103/PhysRevLett.99.065001	journal	August 2007
Mechanism of Edge Localized Mode Mitigation by Resonant Magnetic Perturbations Bécoulet, M.; Orain, F.; Huijsmans, G. T. A. Physical Review Letters, Vol. 113, Issue 11 https://doi.org/10.1103/PhysRevLett.113.115001	journal	September 2014
Measurements and modelling of plasma response field to RMP on the COMPASS tokamak Markovic, T.; Liu, Y. Q.; Cahyna, P. Nuclear Fusion, Vol. 56, Issue 9 https://doi.org/10.1088/0029-5515/56/9/092010	journal	July 2016
Rotation and Locking of Magnetic Islands Waelbroeck, F. L.; Fitzpatrick, R. Physical Review Letters, Vol. 78, Issue 9 https://doi.org/10.1103/PhysRevLett.78.1703	journal	March 1997
Plasma response to externally applied resonant magnetic perturbations Yu, Q.; Günter, S. Nuclear Fusion, Vol. 51, Issue 7 https://doi.org/10.1088/0029-5515/51/7/073030	journal	June 2011
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
Edge localized mode control with an edge resonant magnetic perturbation Moyer, R. A.; Evans, T. E.; Osborne, T. H. Physics of Plasmas, Vol. 12, Issue 5 https://doi.org/10.1063/1.1888705	journal	May 2005
Forced Magnetic Reconnection and Field Penetration of an Externally Applied Rotating Helical Magnetic Field in the TEXTOR Tokamak Kikuchi, Y.; de Bock, M. F. M.; Finken, K. H. Physical Review Letters, Vol. 97, Issue 8 https://doi.org/10.1103/PhysRevLett.97.085003	journal	August 2006
Magnetic reconnection via current sheets Biskamp, D. Physics of Fluids, Vol. 29, Issue 5 https://doi.org/10.1063/1.865670	journal	January 1986
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
Extended theory of the Taylor problem in the plasmoid-unstable regime Comisso, L.; Grasso, D.; Waelbroeck, F. L. Physics of Plasmas, Vol. 22, Issue 4 https://doi.org/10.1063/1.4918331	journal	April 2015
Role of plasma response in displacements of the tokamak edge due to applied non-axisymmetric fields Ferraro, N. M.; Evans, T. E.; Lao, L. L. Nuclear Fusion, Vol. 53, Issue 7 https://doi.org/10.1088/0029-5515/53/7/073042	journal	June 2013
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
Linear ideal MHD predictions for n = 2 non-axisymmetric magnetic perturbations on DIII-D Haskey, S. R.; Lanctot, M. J.; Liu, Y. Q. Plasma Physics and Controlled Fusion, Vol. 56, Issue 3 https://doi.org/10.1088/0741-3335/56/3/035005	journal	February 2014
A numerical study of forced magnetic reconnection in the viscous Taylor problem Fitzpatrick, Richard Physics of Plasmas, Vol. 10, Issue 6 https://doi.org/10.1063/1.1574516	journal	June 2003
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
Role of singular layers in the plasma response to resonant magnetic perturbations Waelbroeck, F. L.; Joseph, I.; Nardon, E. Nuclear Fusion, Vol. 52, Issue 7 https://doi.org/10.1088/0029-5515/52/7/074004	journal	July 2012
Effects of resistivity on linear plasma responses to resonant magnetic perturbations in tokamak plasmas Kim, Juhyung; Kim, S. S.; Jhang, Hogun Physics of Plasmas, Vol. 23, Issue 9 https://doi.org/10.1063/1.4961919	journal	September 2016
Shielding of resonant magnetic perturbations in the long mean-free path regime Waelbroeck, F. L. Physics of Plasmas, Vol. 10, Issue 10 https://doi.org/10.1063/1.1607324	journal	October 2003
Non-linear magnetohydrodynamic modeling of plasma response to resonant magnetic perturbations Orain, F.; Bécoulet, M.; Dif-Pradalier, G. Physics of Plasmas, Vol. 20, Issue 10 https://doi.org/10.1063/1.4824820	journal	October 2013
Edge stability and transport control with resonant magnetic perturbations in collisionless tokamak plasmas Evans, Todd E.; Moyer, Richard A.; Burrell, Keith H. Nature Physics, Vol. 2, Issue 6 https://doi.org/10.1038/nphys312	journal	May 2006
Forced magnetic reconnection in the inviscid Taylor problem Cole, Andrew; Fitzpatrick, Richard Physics of Plasmas, Vol. 11, Issue 7 https://doi.org/10.1063/1.1756587	journal	July 2004
Finite-Resistivity Instabilities of a Sheet Pinch Furth, Harold P.; Killeen, John; Rosenbluth, Marshall N. Physics of Fluids, Vol. 6, Issue 4 https://doi.org/10.1063/1.1706761	journal	January 1963
Nonlinear dynamics of feedback modulated magnetic islands in toroidal plasmas Fitzpatrick, Richard; Waelbroeck, François L. Physics of Plasmas, Vol. 7, Issue 12 https://doi.org/10.1063/1.1318360	journal	December 2000
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
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
Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling Sovinec, C. R.; King, J. R. Journal of Computational Physics, Vol. 229, Issue 16 https://doi.org/10.1016/j.jcp.2010.04.022	journal	August 2010
Toroidal modeling of plasma response and resonant magnetic perturbation field penetration Liu, Y. Q.; Kirk, A.; Sun, Y. Plasma Physics and Controlled Fusion, Vol. 54, Issue 12 https://doi.org/10.1088/0741-3335/54/12/124013	journal	November 2012

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Direct evidence of E × B flow changes at the onset of resonant magnetic perturbation-driven edge-localized mode crash suppression Lee, Jaehyun; Jeon, Y. M.; In, Y. Nuclear Fusion, Vol. 59, Issue 6 https://doi.org/10.1088/1741-4326/ab167a	journal	May 2019
On the Observations of Rapid Forced Reconnection in the Solar Corona Srivastava, A. K.; Mishra, S. K.; Jelínek, P. The Astrophysical Journal, Vol. 887, Issue 2 https://doi.org/10.3847/1538-4357/ab4a0c	journal	December 2019

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