Multi-region approach to free-boundary three-dimensional tokamak equilibria and resistive wall instabilities

Ferraro, N. M.; Jardin, S. C.; Lao, L. L.; Shephard, M. S.; Zhang, F.

doi:10.1063/1.4948722

Title: Multi-region approach to free-boundary three-dimensional tokamak equilibria and resistive wall instabilities

Journal Article · Fri May 20 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4948722· OSTI ID:1371710

Ferraro, N. M. ^[1];

^[2];

^[1]; Shephard, M. S. ^[3]; Zhang, F. ^[3]

General Atomics, La Jolla, CA (United States)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Rensselaer Polytechnic Inst., Troy, NY (United States)

Free-boundary 3D tokamak equilibria and resistive wall instabilities are calculated using a new resistive wall model in the two-fluid M3D-C1 code. In this model, the resistive wall and surround- ing vacuum region are included within the computational domain. Our implementation contrasts with the method typically used in fluid codes in which the resistive wall is treated as a boundary condition on the computational domain boundary and has the advantage of maintaining purely local coupling of mesh elements. We use this new capability to simulate perturbed, free-boundary non- axisymmetric equilibria; the linear evolution of resistive wall modes; and the linear and nonlinear evolution of axisymmetric vertical displacement events (VDEs). Calculated growth rates for a resistive wall mode with arbitrary wall thickness are shown to agree well with the analytic theory. Equilibrium and VDE calculations are performed in diverted tokamak geometry, at physically real- istic values of dissipation, and with resistive walls of finite width. Simulations of a VDE disruption extend into the current-quench phase, in which the plasma becomes limited by the first wall, and strong currents are observed to flow in the wall, in the SOL, and from the plasma to the wall.

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Research Organization:: General Atomics, San Diego, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FC02-04ER54698; FG02-95ER54309; AC02-09CH11466; SC0006617

OSTI ID:: 1371710

Alternate ID(s):: OSTI ID: 1254030

Journal Information:: Physics of Plasmas, Vol. 23, 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: 25 works

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References (32)

Ideal and resistive edge stability calculations with M3D-C1 Ferraro, N. M.; Jardin, S. C.; Snyder, P. B. Physics of Plasmas, Vol. 17, Issue 10 https://doi.org/10.1063/1.3492727	journal	October 2010
Disruptions and halo currents in Alcator C-Mod Granetz, R. S.; Hutchinson, I. H.; Sorci, J. Nuclear Fusion, Vol. 36, Issue 5 https://doi.org/10.1088/0029-5515/36/5/I02	journal	May 1996
Experimental tests of linear and nonlinear three-dimensional equilibrium models in DIII-D King, J. D.; Strait, E. J.; Lazerson, S. A. Physics of Plasmas, Vol. 22, Issue 7 https://doi.org/10.1063/1.4923017	journal	July 2015
The NIMROD code: a new approach to numerical plasma physics Glasser, A. H.; Sovinec, C. R.; Nebel, R. A. Plasma Physics and Controlled Fusion, Vol. 41, Issue 3A https://doi.org/10.1088/0741-3335/41/3A/067	journal	January 1999
Plasma response measurements of non-axisymmetric magnetic perturbations on DIII-D via soft x-ray imaginga) Shafer, M. W.; Unterberg, E. A.; Wingen, A. Physics of Plasmas, Vol. 21, Issue 12 https://doi.org/10.1063/1.4905129	journal	December 2014
Negative voltage spike in tokamak disruptions Wesson, J. A.; Ward, D. J.; Rosenbluth, M. N. Nuclear Fusion, Vol. 30, Issue 6 https://doi.org/10.1088/0029-5515/30/6/003	journal	June 1990
Understanding disruptions in tokamaks Zakharov, Leonid E.; Galkin, Sergei A.; Gerasimov, Sergei N. Physics of Plasmas, Vol. 19, Issue 5 https://doi.org/10.1063/1.4705694	journal	May 2012
An efficient method for solving elliptic boundary element problems with application to the tokamak vacuum problem Pletzer, Alexander; Strauss, H. R. Computer Physics Communications, Vol. 182, Issue 10 https://doi.org/10.1016/j.cpc.2011.05.001	journal	October 2011
Dynamics and energy flow in a disrupting tokamak plasma Merrill, B. J.; Jardin, S. C.; Ulrickson, M. Fusion Engineering and Design, Vol. 15, Issue 2 https://doi.org/10.1016/0920-3796(91)90223-D	journal	October 1991
A high-order implicit finite element method for integrating the two-fluid magnetohydrodynamic equations in two dimensions Jardin, S. C.; Breslau, J.; Ferraro, N. Journal of Computational Physics, Vol. 226, Issue 2 https://doi.org/10.1016/j.jcp.2007.07.003	journal	October 2007
Improving Multifrontal Methods by Means of Block Low-Rank Representations Amestoy, Patrick; Ashcraft, Cleve; Boiteau, Olivier SIAM Journal on Scientific Computing, Vol. 37, Issue 3 https://doi.org/10.1137/120903476	journal	January 2015
SuperLU_DIST: A scalable distributed-memory sparse direct solver for unsymmetric linear systems Li, Xiaoye S.; Demmel, James W. ACM Transactions on Mathematical Software, Vol. 29, Issue 2 https://doi.org/10.1145/779359.779361	journal	June 2003
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
Finite element implementation of Braginskii’s gyroviscous stress with application to the gravitational instability Ferraro, N. M.; Jardin, S. C. Physics of Plasmas, Vol. 13, Issue 9 https://doi.org/10.1063/1.2236277	journal	September 2006
TSC plasma halo simulation of a DIII-D vertical displacement episode Sayer, R. O.; Peng, Y. -K. M.; Jardin, S. C. Nuclear Fusion, Vol. 33, Issue 7 https://doi.org/10.1088/0029-5515/33/7/I01	journal	July 1993
Observation of poloidal current flow to the vacuum vessel wall during vertical instabilities in the DIII-D tokamak Strait, E. J.; Lao, L. L.; Luxon, J. L. Nuclear Fusion, Vol. 31, Issue 3 https://doi.org/10.1088/0029-5515/31/3/011	journal	March 1991
Impact of plasma response on plasma displacements in DIII-D during application of external 3D perturbations Wingen, A.; Ferraro, N. M.; Shafer, M. W. Nuclear Fusion, Vol. 54, Issue 6 https://doi.org/10.1088/0029-5515/54/6/064007	journal	May 2014
Coupling JOREK and STARWALL Codes for Non-linear Resistive-wall Simulations Hölzl, M.; Merkel, P.; Huysmans, G. T. A. Journal of Physics: Conference Series, Vol. 401 https://doi.org/10.1088/1742-6596/401/1/012010	journal	December 2012
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
Validation of the linear ideal magnetohydrodynamic model of three-dimensional tokamak equilibria Lanctot, M. J.; Reimerdes, H.; Garofalo, A. M. Physics of Plasmas, Vol. 17, Issue 3 https://doi.org/10.1063/1.3335237	journal	March 2010
Vacuum calculations in azimuthally symmetric geometry Chance, M. S. Physics of Plasmas, Vol. 4, Issue 6 https://doi.org/10.1063/1.872380	journal	June 1997
Inter-code comparison benchmark between DINA and TSC for ITER disruption modelling Miyamoto, S.; Isayama, A.; Bandyopadhyay, I. Nuclear Fusion, Vol. 54, Issue 8 https://doi.org/10.1088/0029-5515/54/8/083002	journal	May 2014
Calculations of two-fluid magnetohydrodynamic axisymmetric steady-states Ferraro, N. M.; Jardin, S. C. Journal of Computational Physics, Vol. 228, Issue 20 https://doi.org/10.1016/j.jcp.2009.07.015	journal	November 2009
MHD simulations with resistive wall and magnetic separatrix Strauss, H. R.; Pletzer, A.; Park, W. Computer Physics Communications, Vol. 164, Issue 1-3 https://doi.org/10.1016/j.cpc.2004.06.007	journal	December 2004
High spatial resolution equilibrium reconstruction Ren, Q.; Chu, M. S.; Lao, L. L. Plasma Physics and Controlled Fusion, Vol. 53, Issue 9 https://doi.org/10.1088/0741-3335/53/9/095009	journal	July 2011
Wall forces produced during ITER disruptions Strauss, H. R.; Paccagnella, R.; Breslau, J. Physics of Plasmas, Vol. 17, Issue 8 https://doi.org/10.1063/1.3474922	journal	August 2010
Multiple timescale calculations of sawteeth and other global macroscopic dynamics of tokamak plasmas Jardin, S. C.; Ferraro, N.; Breslau, J. Computational Science & Discovery, Vol. 5, Issue 1 https://doi.org/10.1088/1749-4699/5/1/014002	journal	January 2012
Feedback stabilization of nonaxisymmetric resistive wall modes in tokamaks. I. Electromagnetic model Liu, Y. Q.; Bondeson, A.; Fransson, C. M. Physics of Plasmas, Vol. 7, Issue 9 https://doi.org/10.1063/1.1287744	journal	September 2000
Edge localized linear ideal magnetohydrodynamic instability studies in an extended-magnetohydrodynamic code Burke, B. J.; Kruger, S. E.; Hegna, C. C. Physics of Plasmas, Vol. 17, Issue 3 https://doi.org/10.1063/1.3309732	journal	March 2010
A triangular finite element with first-derivative continuity applied to fusion MHD applications Jardin, S. C. Journal of Computational Physics, Vol. 200, Issue 1 https://doi.org/10.1016/j.jcp.2004.04.004	journal	October 2004
An analytical demonstration of coupling schemes between magnetohydrodynamic codes and eddy current codes Liu, Yueqiang; Albanese, R.; Portone, A. Physics of Plasmas, Vol. 15, Issue 7 https://doi.org/10.1063/1.2959129	journal	July 2008
Sideways wall force produced during tokamak disruptions Strauss, H.; Paccagnella, R.; Breslau, J. Nuclear Fusion, Vol. 53, Issue 7 https://doi.org/10.1088/0029-5515/53/7/073018	journal	June 2013

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Modelling of NSTX hot vertical displacement events using M3D-C1 Pfefferlé, D.; Ferraro, N.; Jardin, S. C. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5016348	journal	May 2018
Predict-first experimental analysis using automated and integrated magnetohydrodynamic modeling Lyons, B. C.; Paz-Soldan, C.; Meneghini, O. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5025838	journal	May 2018
Axisymmetric simulations of vertical displacement events in tokamaks: A benchmark of M3D-C ¹ , NIMROD, and JOREK Krebs, I.; Artola, F. J.; Sovinec, C. R. Physics of Plasmas, Vol. 27, Issue 2 https://doi.org/10.1063/1.5127664	journal	February 2020
Effect of rotation zero-crossing on single-fluid plasma response to three-dimensional magnetic perturbations Lyons, B. C.; Ferraro, N. M.; Paz-Soldan, C. Plasma Physics and Controlled Fusion, Vol. 59, Issue 4 https://doi.org/10.1088/1361-6587/aa5860	journal	February 2017
Local and integral disruption forces on the tokamak wall Pustovitov, V. D.; Kiramov, D. I. Plasma Physics and Controlled Fusion, Vol. 60, Issue 4 https://doi.org/10.1088/1361-6587/aab056	journal	March 2018
Scenario development during commissioning operations on the National Spherical Torus Experiment Upgrade Battaglia, D. J.; Boyer, M. D.; Gerhardt, S. Nuclear Fusion, Vol. 58, Issue 4 https://doi.org/10.1088/1741-4326/aaa6e0	journal	February 2018
3D two-temperature magnetohydrodynamic modeling of fast thermal quenches due to injected impurities in tokamaks Ferraro, N. M.; Lyons, B. C.; Kim, C. C. Nuclear Fusion, Vol. 59, Issue 1 https://doi.org/10.1088/1741-4326/aae990	journal	November 2018
Vertical forces during vertical displacement events in an ITER plasma and the role of halo currents Clauser, C. F.; Jardin, S. C.; Ferraro, N. M. Nuclear Fusion, Vol. 59, Issue 12 https://doi.org/10.1088/1741-4326/ab440a	journal	October 2019

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