Global gyrokinetic study of shaping effects on electromagnetic modes at NSTX aspect ratio with ad hoc parallel magnetic perturbation effects

Sharma, A. Y.; Cole, M. J.; Görler, T.; Chen, Y.; Hatch, D. R.; Guttenfelder, W.; Hager, R.; Sturdevant, B. J.; Ku, S.; Mishchenko, A.; Chang, C. S.

doi:10.1063/5.0106925

Title: Global gyrokinetic study of shaping effects on electromagnetic modes at NSTX aspect ratio with ad hoc parallel magnetic perturbation effects

Journal Article · Fri Nov 04 00:00:00 EDT 2022 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0106925· OSTI ID:1905778

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Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Max Planck Institute for Plasma Physics, Garching (Germany)
University of Colorado, Boulder, CO (United States)
University of Texas, Austin, TX (United States)

Plasma shaping may have a stronger effect on global turbulence in tight-aspect-ratio tokamaks than in conventional-aspect-ratio tokamaks due to the higher toroidicity and more acute poloidal asymmetry in the magnetic field. In addition, previous local gyrokinetic studies have shown that it is necessary to include parallel magnetic field perturbations in order to accurately compute growth rates of electromagnetic modes in tight-aspect-ratio tokamaks. In this work, the effects of elongation and triangularity on global, ion-scale, linear electromagnetic modes are studied at National Spherical Torus Experiment (NSTX) aspect ratio and high plasma β using the global gyrokinetic particle-in-cell code XGC. The effects of compressional magnetic perturbations are approximated via a well-known modification to the particle drifts that was developed for flux-tube simulations [Joiner et al., Phys. Plasmas 17, 072104 (2010)], without proof of its validity in a global simulation, with the gyrokinetic codes GENE and GEM being used for local verification and global cross-verification. Magnetic equilibria are re-constructed for each distinct plasma profile that is used. Coulomb collision effects are not considered. Within the limitations imposed by the present study, it is found that linear growth rates of electromagnetic modes (collisionless microtearing modes and kinetic ballooning modes) are significantly reduced in a high-elongation and high-triangularity NSTX-like geometry compared to a circular NSTX-like geometry. For example, growth rates of kinetic ballooning modes at high-β are reduced to the level of that of collisionless trapped electron modes.

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Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466; AC02-05CH11231; FES-ERCAPm499

OSTI ID:: 1905778

Alternate ID(s):: OSTI ID: 1897273

Journal Information:: Physics of Plasmas, Vol. 29, Issue 11; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

References (54)

Stabilization of Ion-Temperature-Gradient–Driven Tokamak Modes by Magnetic-Field Gradient Reversal Fivaz, M.; Tran, T.; Appert, K. Physical Review Letters, Vol. 78, Issue 18 https://doi.org/10.1103/PhysRevLett.78.3471	journal	May 1997
Intercode comparison of gyrokinetic global electromagnetic modes Görler, T.; Tronko, N.; Hornsby, W. A. Physics of Plasmas, Vol. 23, Issue 7 https://doi.org/10.1063/1.4954915	journal	July 2016
A unified method for operator evaluation in local Grad–Shafranov plasma equilibria Candy, J. Plasma Physics and Controlled Fusion, Vol. 51, Issue 10 https://doi.org/10.1088/0741-3335/51/10/105009	journal	September 2009
Global gyrokinetic stability of collisionless microtearing modes in large aspect ratio tokamaks Swamy, Aditya K.; Ganesh, R.; Chowdhury, J. Physics of Plasmas, Vol. 21, Issue 8 https://doi.org/10.1063/1.4893314	journal	August 2014
An analytic functional form for characterization and generation of axisymmetric plasma boundaries Luce, T. C. Plasma Physics and Controlled Fusion, Vol. 55, Issue 9 https://doi.org/10.1088/0741-3335/55/9/095009	journal	July 2013
Nonlinear gyrofluid description of turbulent magnetized plasmas Brizard, Alain Physics of Fluids B: Plasma Physics, Vol. 4, Issue 5 https://doi.org/10.1063/1.860129	journal	May 1992
Linear gyrokinetic simulations of microinstabilities within the pedestal region of H-mode NSTX discharges in a highly shaped geometry Coury, M.; Guttenfelder, W.; Mikkelsen, D. R. Physics of Plasmas, Vol. 23, Issue 6 https://doi.org/10.1063/1.4954911	journal	June 2016
Stabilizing impact of high gradient of β on microturbulence Bourdelle, C.; Dorland, W.; Garbet, X. Physics of Plasmas, Vol. 10, Issue 7 https://doi.org/10.1063/1.1585032	journal	July 2003
Suppressing electron turbulence and triggering internal transport barriers with reversed magnetic shear in the National Spherical Torus Experiment Peterson, J. L.; Bell, R.; Candy, J. Physics of Plasmas, Vol. 19, Issue 5 https://doi.org/10.1063/1.4718456	journal	May 2012
Effect of progressively increasing lithium conditioning on edge transport and stability in high triangularity NSTX H-modes Maingi, R.; Canik, J. M.; Bell, R. E. Fusion Engineering and Design, Vol. 117 https://doi.org/10.1016/j.fusengdes.2016.06.058	journal	April 2017
Fully electromagnetic gyrokinetic eigenmode analysis of high-beta shaped plasmas Belli, E. A.; Candy, J. Physics of Plasmas, Vol. 17, Issue 11 https://doi.org/10.1063/1.3495976	journal	November 2010
Features of spherical torus plasmas Peng, Y-K. M.; Strickler, D. J. Nuclear Fusion, Vol. 26, Issue 6 https://doi.org/10.1088/0029-5515/26/6/005	journal	June 1986
Microtearing modes as the source of magnetic fluctuations in the JET pedestal Hatch, D. R.; Kotschenreuther, M.; Mahajan, S. M. Nuclear Fusion, Vol. 61, Issue 3 https://doi.org/10.1088/1741-4326/abd21a	journal	February 2021
NSTX/NSTX-U theory, modeling and analysis results Kaye, S. M.; Battaglia, D. J.; Baver, D. Nuclear Fusion, Vol. 59, Issue 11 https://doi.org/10.1088/1741-4326/ab023a	journal	June 2019
Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria Hirshman, S. P. Physics of Fluids, Vol. 26, Issue 12 https://doi.org/10.1063/1.864116	journal	January 1983
Microinstability properties of small‐aspect‐ratio tokamaks Rewoldt, G.; Tang, W. M.; Kaye, S. Physics of Plasmas, Vol. 3, Issue 5 https://doi.org/10.1063/1.871686	journal	May 1996
Attaining neoclassical transport in ignited tokamaks Kotschenreuther, M.; Dorland, W.; Liu, Q. P. Nuclear Fusion, Vol. 40, Issue 3Y https://doi.org/10.1088/0029-5515/40/3Y/331	journal	March 2000
Compressed ion temperature gradient turbulence in diverted tokamak edge Chang, C. S.; Ku, S.; Diamond, P. H. Physics of Plasmas, Vol. 16, Issue 5 https://doi.org/10.1063/1.3099329	journal	May 2009
Edge microstability of NSTX plasmas without and with lithium-coated plasma-facing components Canik, J. M.; Guttenfelder, W.; Maingi, R. Nuclear Fusion, Vol. 53, Issue 11 https://doi.org/10.1088/0029-5515/53/11/113016	journal	September 2013
Ion temperature gradient turbulence simulations and plasma flux surface shape Waltz, R. E.; Miller, R. L. Physics of Plasmas, Vol. 6, Issue 11 https://doi.org/10.1063/1.873694	journal	November 1999
The dependence of H-mode energy confinement and transport on collisionality in NSTX Kaye, S. M.; Gerhardt, S.; Guttenfelder, W. Nuclear Fusion, Vol. 53, Issue 6 https://doi.org/10.1088/0029-5515/53/6/063005	journal	April 2013
A reanalysis of a strong-flow gyrokinetic formalism Sharma, A. Y.; McMillan, B. F. Physics of Plasmas, Vol. 22, Issue 3 https://doi.org/10.1063/1.4916129	journal	March 2015
Verification of a fully implicit particle-in-cell method for the v ∥-formalism of electromagnetic gyrokinetics in the XGC code Sturdevant, Benjamin J.; Ku, S.; Chacón, L. Physics of Plasmas, Vol. 28, Issue 7 https://doi.org/10.1063/5.0047842	journal	July 2021
Comparisons and physics basis of tokamak transport models and turbulence simulations Dimits, A. M.; Bateman, G.; Beer, M. A. Physics of Plasmas, Vol. 7, Issue 3 https://doi.org/10.1063/1.873896	journal	March 2000
Overview of physics results from MAST towards ITER/DEMO and the MAST Upgrade Meyer, H.; Abel, I. G.; Akers, R. J. Nuclear Fusion, Vol. 53, Issue 10 https://doi.org/10.1088/0029-5515/53/10/104008	journal	September 2013
Tokamak ITG-KBM transition benchmarking with the mixed variables/pullback transformation electromagnetic gyrokinetic scheme Cole, M. D. J.; Mishchenko, A.; Bottino, A. Physics of Plasmas, Vol. 28, Issue 3 https://doi.org/10.1063/5.0030937	journal	March 2021
Low n electromagnetic modes in spherical tokamaks Chowdhury, J.; McMillan, B. F. Plasma Physics and Controlled Fusion, Vol. 63, Issue 7 https://doi.org/10.1088/1361-6587/ac031b	journal	June 2021
A fast low-to-high confinement mode bifurcation dynamics in the boundary-plasma gyrokinetic code XGC1 Ku, S.; Chang, C. S.; Hager, R. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5020792	journal	May 2018
Gyrokinetic particle simulations of the effects of compressional magnetic perturbations on drift-Alfvenic instabilities in tokamaks Dong, Ge; Bao, Jian; Bhattacharjee, Amitava Physics of Plasmas, Vol. 24, Issue 8 https://doi.org/10.1063/1.4997788	journal	August 2017
Ray-tracing code TRAVIS for ECR heating, EC current drive and ECE diagnostic Marushchenko, N. B.; Turkin, Y.; Maassberg, H. Computer Physics Communications, Vol. 185, Issue 1 https://doi.org/10.1016/j.cpc.2013.09.002	journal	January 2014
Comparing electromagnetic instabilities in global gyrokinetic simulations with local and MHD models Martin Collar, James Peter; McMillan, Ben Fynney; Saarelma, Samuli Plasma Physics and Controlled Fusion, Vol. 62, Issue 9 https://doi.org/10.1088/1361-6587/ab81db	journal	July 2020
Progress in simulating turbulent electron thermal transport in NSTX Guttenfelder, W.; Peterson, J. L.; Candy, J. Nuclear Fusion, Vol. 53, Issue 9 https://doi.org/10.1088/0029-5515/53/9/093022	journal	August 2013
Electromagnetic effect on the toroidal ion temperature gradient mode Kim, J. Y.; Horton, W.; Dong, J. Q. Physics of Fluids B: Plasma Physics, Vol. 5, Issue 11 https://doi.org/10.1063/1.860623	journal	November 1993
The Gyrokinetic Description of Microturbulence in Magnetized Plasmas Krommes, John A. Annual Review of Fluid Mechanics, Vol. 44, Issue 1 https://doi.org/10.1146/annurev-fluid-120710-101223	journal	January 2012
Variational method for electromagnetic waves in a magneto-plasma Berk, H. L.; Dominguez, R. R. Journal of Plasma Physics, Vol. 18, Issue 1 https://doi.org/10.1017/S0022377800020869	journal	August 1977
The global version of the gyrokinetic turbulence code GENE Görler, T.; Lapillonne, X.; Brunner, S. Journal of Computational Physics, Vol. 230, Issue 18 https://doi.org/10.1016/j.jcp.2011.05.034	journal	August 2011
Study of up–down poloidal density asymmetry of high- impurities with the new impurity version of XGCa Dominski, J.; Chang, C. S.; Hager, R. Journal of Plasma Physics, Vol. 85, Issue 5 https://doi.org/10.1017/S0022377819000722	journal	October 2019
Dependence of recycling and edge profiles on lithium evaporation in high triangularity, high performance NSTX H-mode discharges Maingi, R.; Osborne, T. H.; Bell, M. G. Journal of Nuclear Materials, Vol. 463 https://doi.org/10.1016/j.jnucmat.2014.10.084	journal	August 2015
Solving gyrokinetic systems with higher-order time dependence Sharma, A. Y.; McMillan, B. F. Journal of Plasma Physics, Vol. 86, Issue 4 https://doi.org/10.1017/S0022377820000653	journal	July 2020
A very general electromagnetic gyrokinetic formalism McMillan, B. F.; Sharma, A. Physics of Plasmas, Vol. 23, Issue 9 https://doi.org/10.1063/1.4960975	journal	September 2016
Electromagnetic gyrokinetic δf particle-in-cell turbulence simulation with realistic equilibrium profiles and geometry Chen, Yang; Parker, Scott E. Journal of Computational Physics, Vol. 220, Issue 2 https://doi.org/10.1016/j.jcp.2006.05.028	journal	January 2007
Considerations of ion‐temperature‐gradient‐driven turbulence Cowley, S. C.; Kulsrud, R. M.; Sudan, R. Physics of Fluids B: Plasma Physics, Vol. 3, Issue 10 https://doi.org/10.1063/1.859913	journal	October 1991
An explicit large time step particle-in-cell scheme for nonlinear gyrokinetic simulations in the electromagnetic regime Kleiber, R.; Hatzky, R.; Könies, A. Physics of Plasmas, Vol. 23, Issue 3 https://doi.org/10.1063/1.4942788	journal	March 2016
Overview of the physics and engineering design of NSTX upgrade Menard, J. E.; Gerhardt, S.; Bell, M. Nuclear Fusion, Vol. 52, Issue 8 https://doi.org/10.1088/0029-5515/52/8/083015	journal	July 2012
Gyrokinetic analysis and simulation of pedestals to identify the culprits for energy losses using ‘fingerprints’ Kotschenreuther, M.; Liu, X.; Hatch, D. R. Nuclear Fusion, Vol. 59, Issue 9 https://doi.org/10.1088/1741-4326/ab1fa2	journal	July 2019
Foundations of nonlinear gyrokinetic theory Brizard, A. J.; Hahm, T. S. Reviews of Modern Physics, Vol. 79, Issue 2 https://doi.org/10.1103/RevModPhys.79.421	journal	April 2007
Gyrokinetic equations in an extended ordering Dimits, Andris M. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3327211	journal	May 2010
Kinetic-ballooning-mode theory in general geometry Tang, W. M.; Connor, J. W.; Hastie, R. J. Nuclear Fusion, Vol. 20, Issue 11 https://doi.org/10.1088/0029-5515/20/11/011	journal	November 1980
Reduced models for parallel magnetic field fluctuations and their impact on pressure gradient driven MHD instabilities in axisymmetric toroidal plasmas Graves, J. P.; Zullino, D.; Brunetti, D. Plasma Physics and Controlled Fusion, Vol. 61, Issue 10 https://doi.org/10.1088/1361-6587/ab368b	journal	August 2019
Physics of magnetically confined plasmas Boozer, Allen H. Reviews of Modern Physics, Vol. 76, Issue 4 https://doi.org/10.1103/RevModPhys.76.1071	journal	January 2005
Parallel magnetic field perturbations in gyrokinetic simulations Joiner, N.; Hirose, A.; Dorland, W. Physics of Plasmas, Vol. 17, Issue 7 https://doi.org/10.1063/1.3432117	journal	July 2010
MAST Upgrade – Construction Status Milnes, Joe; Ayed, Nizar Ben; Dhalla, Fahim Fusion Engineering and Design, Vol. 96-97 https://doi.org/10.1016/j.fusengdes.2015.03.002	journal	October 2015
Noncircular, finite aspect ratio, local equilibrium model Miller, R. L.; Chu, M. S.; Greene, J. M. Physics of Plasmas, Vol. 5, Issue 4 https://doi.org/10.1063/1.872666	journal	April 1998
Mesh generation for confined fusion plasma simulation Zhang, Fan; Hager, Robert; Ku, Seung-Hoe Engineering with Computers, Vol. 32, Issue 2 https://doi.org/10.1007/s00366-015-0417-y	journal	September 2015

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