The impact of collisionality, FLR, and parallel closure effects on instabilities in the tokamak pedestal: Numerical studies with the NIMROD code

King, J. R.; Pankin, A. Y.; Kruger, S. E.; Snyder, P. B.

doi:10.1063/1.4954302

Title: The impact of collisionality, FLR, and parallel closure effects on instabilities in the tokamak pedestal: Numerical studies with the NIMROD code

Journal Article · Fri Jun 24 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4954302· OSTI ID:1259284

^[1]; Pankin, A. Y. ^[1];

^[1]; Snyder, P. B. ^[2]

Tech-X Corp., Boulder, CO (United States)
General Atomics, San Diego, CA (United States)

The extended-MHD NIMROD code [C. R. Sovinec and J. R. King, J. Comput. Phys. 229, 5803 (2010)] is verified against the ideal-MHD ELITE code [H. R. Wilson et al., Phys. Plasmas 9, 1277 (2002)] on a diverted tokamak discharge. When the NIMROD model complexity is increased incrementally, resistive and first-order finite-Larmour radius effects are destabilizing and stabilizing, respectively. Lastly, the full result is compared to local analytic calculations which are found to overpredict both the resistive destabilization and drift stabilization in comparison to the NIMROD computations.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Tech-X Corp., Boulder, CO (United States)

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

Grant/Contract Number:: FC02-08ER54972; AC02-05CH11231; FC02-06ER54875; FG02-08ER54972

OSTI ID:: 1259284

Alternate ID(s):: OSTI ID: 1420655

Journal Information:: Physics of Plasmas, Vol. 23, Issue 6; Related Information: Dataset: J. R. King (2016). “NIMROD growth rates (1/s) by finite ele-ment poly_degree (columns) and case from “the impact of collisionality,FLR and parallel closure effects on instabilities in the tokamak pedestal:Numerical studies with the nimrod code”,” Zenodo.http://dx.doi.org/10.5281/zenodo.50089.; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 13 works

Citation information provided by
Web of Science

References (46)

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
Dynamics of the major disruption of a DIII-D plasma Kruger, S. E.; Schnack, D. D.; Sovinec, C. R. Physics of Plasmas, Vol. 12, Issue 5 https://doi.org/10.1063/1.1873872	journal	May 2005
A drift ordered short mean free path description for magnetized plasma allowing strong spatial anisotropy Catto, Peter J.; Simakov, Andrei N. Physics of Plasmas, Vol. 11, Issue 1 https://doi.org/10.1063/1.1632496	journal	January 2004
Survey of Type I ELM dynamics measurements Leonard, A. W.; Asakura, N.; Boedo, J. A. Plasma Physics and Controlled Fusion, Vol. 48, Issue 5A https://doi.org/10.1088/0741-3335/48/5A/S14	journal	April 2006
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
Tunable integration scheme for the finite element method Bondeson, A.; Fu, G. Y. Computer Physics Communications, Vol. 66, Issue 2-3 https://doi.org/10.1016/0010-4655(91)90065-S	journal	September 1991
Numerical Method for the Stability Analysis of Ideal MHD Modes with a Wide Range of Toroidal Mode Numbers in Tokamaks Aiba, Nobuyuki; Tokuda, Shinji; Fujita, Takaaki Plasma and Fusion Research, Vol. 2, Issue 0 https://doi.org/10.1585/pfr.2.010	journal	January 2007
Effect of strong radial variation of the ion diamagnetic frequency on internal ballooning modes Hastie, R. J.; Catto, Peter J.; Ramos, J. J. Physics of Plasmas, Vol. 7, Issue 11 https://doi.org/10.1063/1.1310201	journal	November 2000
Nonlinear Simulations of Peeling-Ballooning Modes with Anomalous Electron Viscosity and their Role in Edge Localized Mode Crashes Xu, X. Q.; Dudson, B.; Snyder, P. B. Physical Review Letters, Vol. 105, Issue 17 https://doi.org/10.1103/PhysRevLett.105.175005	journal	October 2010
Mitigating impact of thermal and rectified radio-frequency sheath potentials on edge localized modes Gui, B.; Xu, X. Q.; Myra, J. R. Physics of Plasmas, Vol. 21, Issue 11 https://doi.org/10.1063/1.4901306	journal	November 2014
Fluid theory of magnetized plasma dynamics at low collisionality Ramos, J. J. Physics of Plasmas, Vol. 14, Issue 5 https://doi.org/10.1063/1.2717595	journal	May 2007
First-order finite-Larmor-radius effects on magnetic tearing in pinch configurations King, J. R.; Sovinec, C. R.; Mirnov, V. V. Physics of Plasmas, Vol. 18, Issue 4 https://doi.org/10.1063/1.3571599	journal	April 2011
Impact of a large density gradient on linear and nonlinear edge-localized mode simulations Xi, P. W.; Xu, X. Q.; Xia, T. Y. Nuclear Fusion, Vol. 53, Issue 11 https://doi.org/10.1088/0029-5515/53/11/113020	journal	September 2013
ELMs and constraints on the H-mode pedestal: peeling–ballooning stability calculation and comparison with experiment Snyder, P. B.; Wilson, H. R.; Ferron, J. R. Nuclear Fusion, Vol. 44, Issue 2 https://doi.org/10.1088/0029-5515/44/2/014	journal	January 2004
Verification of continuum drift kinetic equation solvers in NIMROD Held, E. D.; Kruger, S. E.; Ji, J. -Y. Physics of Plasmas, Vol. 22, Issue 3 https://doi.org/10.1063/1.4914165	journal	March 2015
A first-principles predictive model of the pedestal height and width: development, testing and ITER optimization with the EPED model Snyder, P. B.; Groebner, R. J.; Hughes, J. W. Nuclear Fusion, Vol. 51, Issue 10 https://doi.org/10.1088/0029-5515/51/10/103016	journal	August 2011
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
BOUT++: A framework for parallel plasma fluid simulations Dudson, B. D.; Umansky, M. V.; Xu, X. Q. Computer Physics Communications, Vol. 180, Issue 9 https://doi.org/10.1016/j.cpc.2009.03.008	journal	September 2009
Growth of ideal magnetohydrodynamic modes driven slowly through their instability threshold: Application to disruption precursors Callen, J. D.; Hegna, C. C.; Rice, B. W. Physics of Plasmas, Vol. 6, Issue 8 https://doi.org/10.1063/1.873583	journal	August 1999
A parametric study of the drift-tearing mode using an extended-magnetohydrodynamic model King, J. R.; Kruger, S. E. Physics of Plasmas, Vol. 21, Issue 10 https://doi.org/10.1063/1.4899036	journal	October 2014
Modelling of ELM dynamics for DIII-D and ITER Pankin, A. Y.; Bateman, G.; Brennan, D. P. Plasma Physics and Controlled Fusion, Vol. 49, Issue 7 https://doi.org/10.1088/0741-3335/49/7/S04	journal	June 2007
Pedestal stability comparison and ITER pedestal prediction Snyder, P. B.; Aiba, N.; Beurskens, M. Nuclear Fusion, Vol. 49, Issue 8 https://doi.org/10.1088/0029-5515/49/8/085035	journal	July 2009
Stability and dynamics of the edge pedestal in the low collisionality regime: physics mechanisms for steady-state ELM-free operation Snyder, P. B.; Burrell, K. H.; Wilson, H. R. Nuclear Fusion, Vol. 47, Issue 8 https://doi.org/10.1088/0029-5515/47/8/030	journal	August 2007
Impact of the pedestal plasma density on dynamics of edge localized mode crashes and energy loss scaling Xu, X. Q.; Ma, J. F.; Li, G. Q. Physics of Plasmas, Vol. 21, Issue 12 https://doi.org/10.1063/1.4905070	journal	December 2014
Calculating electron cyclotron current drive stabilization of resistive tearing modes in a nonlinear magnetohydrodynamic model Jenkins, Thomas G.; Kruger, Scott E.; Hegna, C. C. Physics of Plasmas, Vol. 17, Issue 1 https://doi.org/10.1063/1.3276740	journal	January 2010
Fluid and drift-kinetic description of a magnetized plasma with low collisionality and slow dynamics orderings. II. Ion theory Ramos, J. J. Physics of Plasmas, Vol. 18, Issue 10 https://doi.org/10.1063/1.3647568	journal	October 2011
Magnetohydrodynamic stability of tokamak edge plasmas Connor, J. W.; Hastie, R. J.; Wilson, H. R. Physics of Plasmas, Vol. 5, Issue 7 https://doi.org/10.1063/1.872956	journal	July 1998
Edge localized modes and the pedestal: A model based on coupled peeling–ballooning modes Snyder, P. B.; Wilson, H. R.; Ferron, J. R. Physics of Plasmas, Vol. 9, Issue 5 https://doi.org/10.1063/1.1449463	journal	May 2002
Drift ballooning instabilities in tokamak edge plasmas Hastie, R. J.; Ramos, J. J.; Porcelli, F. Physics of Plasmas, Vol. 10, Issue 11 https://doi.org/10.1063/1.1612499	journal	November 2003
Methods for numerical simulation of ideal MHD stability of axisymmetric plasmas Degtyarev, L. M.; Medvedev, S. Yu. Computer Physics Communications, Vol. 43, Issue 1 https://doi.org/10.1016/0010-4655(86)90052-4	journal	December 1986
Influence of diamagnetic drifts on critical beta in tokamaks Tang, W. M.; Dewar, R. L.; Manickam, J. Nuclear Fusion, Vol. 22, Issue 8 https://doi.org/10.1088/0029-5515/22/8/007	journal	August 1982
Gyro-fluid and two-fluid theory and simulations of edge-localized-modes Xu, X. Q.; Xi, P. W.; Dimits, A. Physics of Plasmas, Vol. 20, Issue 5 https://doi.org/10.1063/1.4801746	journal	May 2013
Non-linear MHD simulations of edge localized modes (ELMs) Huysmans, G. T. A.; Pamela, S.; van der Plas, E. Plasma Physics and Controlled Fusion, Vol. 51, Issue 12 https://doi.org/10.1088/0741-3335/51/12/124012	journal	November 2009
Numerical studies of edge localized instabilities in tokamaks Wilson, H. R.; Snyder, P. B.; Huysmans, G. T. A. Physics of Plasmas, Vol. 9, Issue 4 https://doi.org/10.1063/1.1459058	journal	April 2002
A class of basis functions for non-ideal magnetohydrodynamic computations Lütjens, H.; Luciani, J. F. Computer Physics Communications, Vol. 95, Issue 1 https://doi.org/10.1016/0010-4655(96)00006-9	journal	May 1996
Influence of Gyration Radius and Collisions on Hydromagnetic Stability Coppi, Bruno Physics of Fluids, Vol. 7, Issue 9 https://doi.org/10.1063/1.1711405	journal	January 1964
Magnetic X-points, edge localized modes, and stochasticity Sugiyama, L. E.; Strauss, H. R. Physics of Plasmas, Vol. 17, Issue 6 https://doi.org/10.1063/1.3449301	journal	June 2010
Non-linear MHD simulation of ELM energy deposition Huijsmans, G. T. A.; Loarte, A. Nuclear Fusion, Vol. 53, Issue 12 https://doi.org/10.1088/0029-5515/53/12/123023	journal	November 2013
Computational modeling of fully ionized magnetized plasmas using the fluid approximation Schnack, D. D.; Barnes, D. C.; Brennan, D. P. Physics of Plasmas, Vol. 13, Issue 5 https://doi.org/10.1063/1.2183738	journal	May 2006
Comparison of kinetic and extended magnetohydrodynamics computational models for the linear ion temperature gradient instability in slab geometry Schnack, D. D.; Cheng, J.; Barnes, D. C. Physics of Plasmas, Vol. 20, Issue 6 https://doi.org/10.1063/1.4811468	journal	June 2013
Stabilizing effects of edge current density on pedestal instabilities Zhu, P.; Hegna, C. C.; Sovinec, C. R. Physics of Plasmas, Vol. 19, Issue 3 https://doi.org/10.1063/1.3692089	journal	March 2012
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
Resistive MHD simulation of edge-localized-modes for double-null discharges in the MAST device Pamela, S. J. P.; Huijsmans, G. T. A.; Kirk, A. Plasma Physics and Controlled Fusion, Vol. 55, Issue 9 https://doi.org/10.1088/0741-3335/55/9/095001	journal	July 2013
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
Stabilization of numerical interchange in spectral-element magnetohydrodynamics Sovinec, C. R. Journal of Computational Physics, Vol. 319 https://doi.org/10.1016/j.jcp.2016.04.063	journal	August 2016
Nimrod Growth Rates (1/S) By Finite Element Poly_Degree (Columns) And Case From "The Impact Of Collisionality, Flr And Parallel Closure Effects On Instabilities In The Tomakak Pedestal: Numerical Studies With The Nimrod Code” King, Jacob Zenodo https://doi.org/10.5281/zenodo.50089	dataset	January 2016

Cited By (2)

Dominant two-fluid magnetohydrodynamic instabilities in CFETR upgrade phase-I scenario in presence of perfect conducting wall Cheng, Shikui; Zhu, Ping; Banerjee, Debabrata Plasma Physics and Controlled Fusion, Vol. 61, Issue 4 https://doi.org/10.1088/1361-6587/ab0090	journal	February 2019
Ideal MHD stability and characteristics of edge localized modes on CFETR Li, Ze-Yu; Chan, V. S.; Zhu, Yi-Ren Nuclear Fusion, Vol. 58, Issue 1 https://doi.org/10.1088/1741-4326/aa9149	journal	November 2017

Similar Records

The impact of collisionality, FLR, and parallel closure effects on instabilities in the tokamak pedestal: Numerical studies with the NIMROD code

Journal Article · Wed Jun 15 00:00:00 EDT 2016 · Physics of Plasmas · OSTI ID:1259284

King, J. R.; Pankin, A. Y.; Kruger, S. E.; +1 more

NIMROD modeling of quiescent H-mode: Reconstruction considerations and saturation mechanism

Journal Article · Fri Sep 30 00:00:00 EDT 2016 · Nuclear Fusion · OSTI ID:1259284

King, Jacob R.; Burrell, Keith H.; Garofalo, Andrea M.; +4 more

Edge localized linear ideal magnetohydrodynamic instability studies in an extended-magnetohydrodynamic code

Journal Article · Mon Mar 15 00:00:00 EDT 2010 · Physics of Plasmas · OSTI ID:1259284

Burke, B J; Kruger, S E; Hegna, C C; +4 more

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
97 MATHEMATICS AND COMPUTING
extended-MHD NIMROD peeling ballooning mode plasma instability
electrical resistivity
edge localized modes
nonlinear dynamics
tokamaks
magnetohydrodynamics

Title: The impact of collisionality, FLR, and parallel closure effects on instabilities in the tokamak pedestal: Numerical studies with the NIMROD code

Citation Formats

References (46)

Cited By (2)

Similar Records

Related Subjects