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Title: Initial transport and turbulence analysis and gyrokinetic simulation validation in NSTX-U L-mode plasmas

Abstract

Transport analysis, ion-scale turbulence measurements, and initial linear and nonlinear gyrokinetic simulations are reported for a transport validation study based on low aspect ratio NSTX-U L-mode discharges. The relatively long, stationary L-modes enabled by the upgraded centerstack provide a more ideal target for transport validation studies that were not available during NSTX operation. Transport analysis shows that anomalous electron transport dominates energy loss while ion thermal transport is well described by neoclassical theory. Linear gyrokinetic GYRO analysis predicts that ion temperature gradient (ITG) modes are unstable around normalized radii ρ=0.6-0.8, although E×B shearing rates are larger than the linear growth rates over much of that region. Deeper in the core (ρ=0.4-0.6), electromagnetic microtearing modes (MTM) are unstable as a consequence of the relatively high beta and collisionality in these particular discharges. Consistent with the linear analysis, local, nonlinear ion-scale GYRO simulations predict strong ITG transport at ρ=0.76, whereas electromagnetic MTM transport is important at ρ=0.47. The prediction of ion-scale turbulence is consistent with 2D beam emission spectroscopy (BES) that measures the presence of broadband ion-scale fluctuations. Interestingly, the BES measurements also indicate the presence of bi-modal poloidal phase velocity propagation that could be indicative of two different turbulence types. Furthermore,more » in the region between (ρ=0.56, 0.66), ion-scale simulations are strongly suppressed by the locally large E×B shear. Instead, electron temperature gradient (ETG) turbulence simulations predict substantial transport, illustrating electron-scale contributions can be important in low aspect ratio L-modes, similar to recent analysis at conventional aspect ratio. However, agreement within experimental uncertainties has not been demonstrated, which requires additional simulations to test parametric sensitivities. The potential need to include profile-variation effects (due to the relatively large value of ρ∗=ρi/a at low aspect ratio), including electromagnetic and possibly multi-scale effects, is also discussed.« less

Authors:
ORCiD logo [1];  [1];  [2];  [1];  [3];  [1];  [4]; ORCiD logo [1];  [5];  [2]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  2. Univ. of Wisconsin, Madison, WI (United States)
  3. Princeton Univ., Princeton, NJ (United States)
  4. Univ. of Wisconsin, Madison, WI (United States); General Atomics, San Diego, CA (United States)
  5. Columbia Univ., New York, NY (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE
OSTI Identifier:
1498795
Grant/Contract Number:  
AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Nuclear Fusion
Additional Journal Information:
Journal Volume: 59; Journal Issue: 5; Journal ID: ISSN 0029-5515
Publisher:
IOP Science
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Citation Formats

Guttenfelder, Walter, Kaye, Stanley M., Kriete, Matthew, Bell, Ronald E., Diallo, Ahmed, LeBlanc, Benoit P., McKee, George R., Podesta, Mario, Sabbagh, Steve A., and Smith, David R. Initial transport and turbulence analysis and gyrokinetic simulation validation in NSTX-U L-mode plasmas. United States: N. p., 2019. Web. doi:10.1088/1741-4326/ab0b2c.
Guttenfelder, Walter, Kaye, Stanley M., Kriete, Matthew, Bell, Ronald E., Diallo, Ahmed, LeBlanc, Benoit P., McKee, George R., Podesta, Mario, Sabbagh, Steve A., & Smith, David R. Initial transport and turbulence analysis and gyrokinetic simulation validation in NSTX-U L-mode plasmas. United States. https://doi.org/10.1088/1741-4326/ab0b2c
Guttenfelder, Walter, Kaye, Stanley M., Kriete, Matthew, Bell, Ronald E., Diallo, Ahmed, LeBlanc, Benoit P., McKee, George R., Podesta, Mario, Sabbagh, Steve A., and Smith, David R. Wed . "Initial transport and turbulence analysis and gyrokinetic simulation validation in NSTX-U L-mode plasmas". United States. https://doi.org/10.1088/1741-4326/ab0b2c. https://www.osti.gov/servlets/purl/1498795.
@article{osti_1498795,
title = {Initial transport and turbulence analysis and gyrokinetic simulation validation in NSTX-U L-mode plasmas},
author = {Guttenfelder, Walter and Kaye, Stanley M. and Kriete, Matthew and Bell, Ronald E. and Diallo, Ahmed and LeBlanc, Benoit P. and McKee, George R. and Podesta, Mario and Sabbagh, Steve A. and Smith, David R.},
abstractNote = {Transport analysis, ion-scale turbulence measurements, and initial linear and nonlinear gyrokinetic simulations are reported for a transport validation study based on low aspect ratio NSTX-U L-mode discharges. The relatively long, stationary L-modes enabled by the upgraded centerstack provide a more ideal target for transport validation studies that were not available during NSTX operation. Transport analysis shows that anomalous electron transport dominates energy loss while ion thermal transport is well described by neoclassical theory. Linear gyrokinetic GYRO analysis predicts that ion temperature gradient (ITG) modes are unstable around normalized radii ρ=0.6-0.8, although E×B shearing rates are larger than the linear growth rates over much of that region. Deeper in the core (ρ=0.4-0.6), electromagnetic microtearing modes (MTM) are unstable as a consequence of the relatively high beta and collisionality in these particular discharges. Consistent with the linear analysis, local, nonlinear ion-scale GYRO simulations predict strong ITG transport at ρ=0.76, whereas electromagnetic MTM transport is important at ρ=0.47. The prediction of ion-scale turbulence is consistent with 2D beam emission spectroscopy (BES) that measures the presence of broadband ion-scale fluctuations. Interestingly, the BES measurements also indicate the presence of bi-modal poloidal phase velocity propagation that could be indicative of two different turbulence types. Furthermore, in the region between (ρ=0.56, 0.66), ion-scale simulations are strongly suppressed by the locally large E×B shear. Instead, electron temperature gradient (ETG) turbulence simulations predict substantial transport, illustrating electron-scale contributions can be important in low aspect ratio L-modes, similar to recent analysis at conventional aspect ratio. However, agreement within experimental uncertainties has not been demonstrated, which requires additional simulations to test parametric sensitivities. The potential need to include profile-variation effects (due to the relatively large value of ρ∗=ρi/a at low aspect ratio), including electromagnetic and possibly multi-scale effects, is also discussed.},
doi = {10.1088/1741-4326/ab0b2c},
journal = {Nuclear Fusion},
number = 5,
volume = 59,
place = {United States},
year = {Wed Feb 27 00:00:00 EST 2019},
month = {Wed Feb 27 00:00:00 EST 2019}
}

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Works referenced in this record:

Measurements of the cross-phase angle between density and electron temperature fluctuations and comparison with gyrokinetic simulations
journal, May 2010

  • White, A. E.; Peebles, W. A.; Rhodes, T. L.
  • Physics of Plasmas, Vol. 17, Issue 5
  • DOI: 10.1063/1.3323084

Low-noise, high-speed detector development for optical turbulence fluctuation measurements for NSTX
journal, October 2010

  • Schoenbeck, N. L.; Ellington, S. D.; Fonck, R. J.
  • Review of Scientific Instruments, Vol. 81, Issue 10
  • DOI: 10.1063/1.3483196

A unified method for operator evaluation in local Grad–Shafranov plasma equilibria
journal, September 2009


An Eulerian gyrokinetic-Maxwell solver
journal, April 2003


Study of the effect of sawteeth on fast ions and neutron emission in MAST using a neutron camera
journal, March 2018


Separation of β̄ p and ℓ i in tokamaks of non-circular cross-section
journal, October 1985


Identification of new turbulence contributions to plasma transport and confinement in spherical tokamak regime
journal, October 2015

  • Wang, W. X.; Ethier, S.; Ren, Y.
  • Physics of Plasmas, Vol. 22, Issue 10
  • DOI: 10.1063/1.4933216

Multi-channel transport experiments at Alcator C-Mod and comparison with gyrokinetic simulations
journal, May 2013

  • White, A. E.; Howard, N. T.; Greenwald, M.
  • Physics of Plasmas, Vol. 20, Issue 5
  • DOI: 10.1063/1.4803089

Diagnostic performance of the beam emission spectroscopy system on the National Spherical Torus Experiment
journal, October 2012

  • Smith, D. R.; Fonck, R. J.; McKee, G. R.
  • Review of Scientific Instruments, Vol. 83, Issue 10
  • DOI: 10.1063/1.4728094

Plasma Turbulence Imaging via Beam Emission Spectroscopy in the Core of the DIII-D Tokamak
journal, January 2007

  • McKEE, George R.; Fonck, Raymond J.; Gupta, Deepak K.
  • Plasma and Fusion Research, Vol. 2
  • DOI: 10.1585/pfr.2.S1025

Critical gradient formula for toroidal electron temperature gradient modes
journal, September 2001

  • Jenko, F.; Dorland, W.; Hammett, G. W.
  • Physics of Plasmas, Vol. 8, Issue 9
  • DOI: 10.1063/1.1391261

A model of the saturation of coupled electron and ion scale gyrokinetic turbulence
journal, May 2017


Synergistic cross-scale coupling of turbulence in a tokamak plasma
journal, November 2014

  • Howard, N. T.; Holland, C.; White, A. E.
  • Physics of Plasmas, Vol. 21, Issue 11
  • DOI: 10.1063/1.4902366

Fully electromagnetic gyrokinetic eigenmode analysis of high-beta shaped plasmas
journal, November 2010

  • Belli, E. A.; Candy, J.
  • Physics of Plasmas, Vol. 17, Issue 11
  • DOI: 10.1063/1.3495976

Dependence of the L- to H-mode power threshold on toroidal rotation and the link to edge turbulence dynamics
journal, September 2009


Advances in validating gyrokinetic turbulence models against L- and H-mode plasmas
journal, May 2011

  • Holland, C.; Schmitz, L.; Rhodes, T. L.
  • Physics of Plasmas, Vol. 18, Issue 5
  • DOI: 10.1063/1.3574518

Measurement of poloidal velocity on the National Spherical Torus Experiment (invited)
journal, October 2010

  • Bell, Ronald E.; Feder, Russell
  • Review of Scientific Instruments, Vol. 81, Issue 10
  • DOI: 10.1063/1.3485027

Multi-scale gyrokinetic simulation of tokamak plasmas: enhanced heat loss due to cross-scale coupling of plasma turbulence
journal, December 2015


Validation of nonlinear gyrokinetic simulations of L- and I-mode plasmas on Alcator C-Mod
journal, May 2017

  • Creely, A. J.; Howard, N. T.; Rodriguez-Fernandez, P.
  • Physics of Plasmas, Vol. 24, Issue 5
  • DOI: 10.1063/1.4977466

Anomalous Transport Scaling in the DIII-D Tokamak Matched by Supercomputer Simulation
journal, July 2003


Short-Scale Turbulent Fluctuations Driven by the Electron-Temperature Gradient in the National Spherical Torus Experiment
journal, August 2008


Electron gyroscale fluctuation measurements in National Spherical Torus Experiment H-mode plasmas
journal, November 2009

  • Smith, D. R.; Kaye, S. M.; Lee, W.
  • Physics of Plasmas, Vol. 16, Issue 11
  • DOI: 10.1063/1.3262530

Measurements of core electron temperature and density fluctuations in DIII-D and comparison to nonlinear gyrokinetic simulations
journal, May 2008

  • White, A. E.; Schmitz, L.; McKee, G. R.
  • Physics of Plasmas, Vol. 15, Issue 5
  • DOI: 10.1063/1.2895408

Compact steady-state tokamak performance dependence on magnet and core physics limits
journal, February 2019

  • Menard, J. E.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 377, Issue 2141
  • DOI: 10.1098/rsta.2017.0440

Gyrokinetic Microtearing Turbulence
journal, April 2011


Scaling of linear microtearing stability for a high collisionality National Spherical Torus Experiment discharge
journal, February 2012

  • Guttenfelder, W.; Candy, J.; Kaye, S. M.
  • Physics of Plasmas, Vol. 19, Issue 2
  • DOI: 10.1063/1.3685698

Electromagnetic Transport from Microtearing Mode Turbulence
journal, April 2011


The tokamak Monte Carlo fast ion module NUBEAM in the National Transport Code Collaboration library
journal, June 2004

  • Pankin, Alexei; McCune, Douglas; Andre, Robert
  • Computer Physics Communications, Vol. 159, Issue 3
  • DOI: 10.1016/j.cpc.2003.11.002

Overview of the beam emission spectroscopy diagnostic system on the National Spherical Torus Experiment
journal, October 2010

  • Smith, D. R.; Feder, H.; Feder, R.
  • Review of Scientific Instruments, Vol. 81, Issue 10
  • DOI: 10.1063/1.3478660

Physics basis of Multi-Mode anomalous transport module
journal, March 2013

  • Rafiq, T.; Kritz, A. H.; Weiland, J.
  • Physics of Plasmas, Vol. 20, Issue 3
  • DOI: 10.1063/1.4794288

Full linearized Fokker–Planck collisions in neoclassical transport simulations
journal, December 2011


ITER L mode confinement database
journal, September 1997


Scenario development during commissioning operations on the National Spherical Torus Experiment Upgrade
journal, February 2018


Fusion nuclear science facilities and pilot plants based on the spherical tokamak
journal, August 2016


Properties of ion temperature gradient drift instabilities in H ‐mode plasmas
journal, June 1989

  • Hahm, T. S.; Tang, W. M.
  • Physics of Fluids B: Plasma Physics, Vol. 1, Issue 6
  • DOI: 10.1063/1.859197

Micro-tearing modes in the mega ampere spherical tokamak
journal, July 2007

  • Applegate, D. J.; Roach, C. M.; Connor, J. W.
  • Plasma Physics and Controlled Fusion, Vol. 49, Issue 8
  • DOI: 10.1088/0741-3335/49/8/001

Progress in simulating turbulent electron thermal transport in NSTX
journal, August 2013


Integrated Tokamak modeling: When physics informs engineering and research planning
journal, May 2018


Stabilization of electron-scale turbulence by electron density gradient in national spherical torus experiment
journal, December 2015

  • Ruiz Ruiz, J.; Ren, Y.; Guttenfelder, W.
  • Physics of Plasmas, Vol. 22, Issue 12
  • DOI: 10.1063/1.4936110

Equilibrium properties of spherical torus plasmas in NSTX
journal, November 2001


Operation of the NSTX Thomson scattering system
journal, March 2003

  • LeBlanc, B. P.; Bell, R. E.; Johnson, D. W.
  • Review of Scientific Instruments, Vol. 74, Issue 3
  • DOI: 10.1063/1.1532763

Design of solid state neutral particle analyzer array for National Spherical Torus Experiment-Upgrade
journal, November 2014

  • Liu, D.; Heidbrink, W. W.; Tritz, K.
  • Review of Scientific Instruments, Vol. 85, Issue 11
  • DOI: 10.1063/1.4889913

Effect of finite aspect ratio on the neoclassical ion thermal conductivity in the banana regime
journal, January 1982


Characterizing electron temperature gradient turbulence via numerical simulation
journal, December 2006

  • Nevins, W. M.; Candy, J.; Cowley, S.
  • Physics of Plasmas, Vol. 13, Issue 12
  • DOI: 10.1063/1.2402510

Probing plasma turbulence by modulating the electron temperature gradient
journal, May 2010

  • DeBoo, J. C.; Holland, C.; Rhodes, T. L.
  • Physics of Plasmas, Vol. 17, Issue 5
  • DOI: 10.1063/1.3316298

Validation of the gyrokinetic model in ITG and TEM dominated L-mode plasmas
journal, November 2013


2D properties of core turbulence on DIII-D and comparison to gyrokinetic simulations
journal, March 2012

  • Shafer, M. W.; Fonck, R. J.; McKee, G. R.
  • Physics of Plasmas, Vol. 19, Issue 3
  • DOI: 10.1063/1.3691965

Compact and multi-view solid state neutral particle analyzer arrays on National Spherical Torus Experiment-Upgrade
journal, July 2016

  • Liu, D.; Heidbrink, W. W.; Tritz, K.
  • Review of Scientific Instruments, Vol. 87, Issue 11
  • DOI: 10.1063/1.4959798

Validation studies of gyrofluid and gyrokinetic predictions of transport and turbulence stiffness using the DIII-D tokamak
journal, July 2013


Global gyrokinetic turbulence simulations of MAST plasmas
journal, July 2012


Experimental study of parametric dependence of electron-scale turbulence in a spherical tokamak
journal, May 2012

  • Ren, Y.; Guttenfelder, W.; Kaye, S. M.
  • Physics of Plasmas, Vol. 19, Issue 5
  • DOI: 10.1063/1.4719689

Gyrokinetic simulations of spherical tokamaks
journal, November 2009


Comparison of BES measurements of ion-scale turbulence with direct gyro-kinetic simulations of MAST L-mode plasmas
journal, January 2014


Turbulence in the TORE SUPRA Tokamak: Measurements and Validation of Nonlinear Simulations
journal, April 2009


Fidelity of reduced and realistic electron mass ratio multi-scale gyrokinetic simulations of tokamak discharges
journal, April 2015


Electron temperature critical gradient and transport stiffness in DIII-D
journal, July 2015


An Empirical Approach to Tokamak Transport
book, January 1979


Electron temperature gradient driven transport in a MAST H-mode plasma
journal, April 2006


Resolving electron scale turbulence in spherical tokamaks with flow shear
journal, February 2011

  • Guttenfelder, W.; Candy, J.
  • Physics of Plasmas, Vol. 18, Issue 2
  • DOI: 10.1063/1.3551701

Overview of the physics and engineering design of NSTX upgrade
journal, July 2012


Investigation of the transport shortfall in Alcator C-Mod L-mode plasmas
journal, March 2013

  • Howard, N. T.; White, A. E.; Greenwald, M.
  • Physics of Plasmas, Vol. 20, Issue 3
  • DOI: 10.1063/1.4795301

Multi-scale gyrokinetic simulations: Comparison with experiment and implications for predicting turbulence and transport
journal, April 2016

  • Howard, N. T.; Holland, C.; White, A. E.
  • Physics of Plasmas, Vol. 23, Issue 5
  • DOI: 10.1063/1.4946028

Effect of ion ∇B drift direction on density fluctuation poloidal flow and flow shear
journal, June 2005

  • Fenzi, C.; McKee, G. R.; Fonck, R. J.
  • Physics of Plasmas, Vol. 12, Issue 6
  • DOI: 10.1063/1.1915349

The NSTX fast-ion D-alpha diagnostic
journal, October 2008

  • Podestà, M.; Heidbrink, W. W.; Bell, R. E.
  • Review of Scientific Instruments, Vol. 79, Issue 10
  • DOI: 10.1063/1.2956744

Perturbative momentum transport in MAST L-mode plasmas
journal, March 2017


Global and local gyrokinetic simulations of high-performance discharges in view of ITER
journal, May 2013


Study of turbulent fluctuations driven by the electron temperature gradient in the National Spherical Torus Experiment
journal, April 2009


The role of zonal flows in the saturation of multi-scale gyrokinetic turbulence
journal, June 2016

  • Staebler, G. M.; Candy, J.; Howard, N. T.
  • Physics of Plasmas, Vol. 23, Issue 6
  • DOI: 10.1063/1.4954905

Density fluctuation measurements via beam emission spectroscopy (invited)
journal, October 1992

  • Durst, R. D.; Fonck, R. J.; Cosby, G.
  • Review of Scientific Instruments, Vol. 63, Issue 10
  • DOI: 10.1063/1.1143546

Observation of a localized transition from edge to core density turbulence in the TFTR tokamak
journal, November 1993


Ion temperature‐gradient‐driven modes and anomalous ion transport in tokamaks
journal, May 1989

  • Romanelli, F.
  • Physics of Fluids B: Plasma Physics, Vol. 1, Issue 5
  • DOI: 10.1063/1.859023

Kinetic calculation of neoclassical transport including self-consistent electron and impurity dynamics
journal, July 2008


Bootstrap current and neoclassical transport in tokamaks of arbitrary collisionality and aspect ratio
journal, September 1997

  • Houlberg, W. A.; Shaing, K. C.; Hirshman, S. P.
  • Physics of Plasmas, Vol. 4, Issue 9
  • DOI: 10.1063/1.872465

Evidence of critical balance in kinetic Alfvén wave turbulence simulations
journal, May 2012

  • TenBarge, J. M.; Howes, G. G.
  • Physics of Plasmas, Vol. 19, Issue 5
  • DOI: 10.1063/1.3693974

Overview of NSTX Upgrade initial results and modelling highlights
journal, June 2017

  • Menard, J. E.; Allain, J. P.; Battaglia, D. J.
  • Nuclear Fusion, Vol. 57, Issue 10, Article No. 102006
  • DOI: 10.1088/1741-4326/aa600a

Ion-scale turbulence in MAST: anomalous transport, subcritical transitions, and comparison to BES measurements
journal, September 2017

  • van Wyk, F.; Highcock, E. G.; Field, A. R.
  • Plasma Physics and Controlled Fusion, Vol. 59, Issue 11
  • DOI: 10.1088/1361-6587/aa8484

Parallel velocity shear instabilities in an inhomogeneous plasma with a sheared magnetic field
journal, January 1973


Simulation of microtearing turbulence in national spherical torus experiment
journal, May 2012

  • Guttenfelder, W.; Candy, J.; Kaye, S. M.
  • Physics of Plasmas, Vol. 19, Issue 5
  • DOI: 10.1063/1.3694104

Suppression of Ion-Scale Microtearing Modes by Electron-Scale Turbulence via Cross-Scale Nonlinear Interactions in Tokamak Plasmas
journal, November 2017


A collective scattering system for measuring electron gyroscale fluctuations on the National Spherical Torus Experiment
journal, December 2008

  • Smith, D. R.; Mazzucato, E.; Lee, W.
  • Review of Scientific Instruments, Vol. 79, Issue 12
  • DOI: 10.1063/1.3039415

A tangentially viewing fast ion D-alpha diagnostic for NSTX
journal, October 2010

  • Bortolon, A.; Heidbrink, W. W.; Podestà, M.
  • Review of Scientific Instruments, Vol. 81, Issue 10
  • DOI: 10.1063/1.3495768

Integrated modeling of high β N steady state scenario on DIII-D
journal, January 2018

  • Park, J. M.; Ferron, J. R.; Holcomb, C. T.
  • Physics of Plasmas, Vol. 25, Issue 1
  • DOI: 10.1063/1.5013021

Characterizing turbulent transport in ASDEX Upgrade L-mode plasmas via nonlinear gyrokinetic simulations
journal, December 2013

  • Told, D.; Jenko, F.; Görler, T.
  • Physics of Plasmas, Vol. 20, Issue 12
  • DOI: 10.1063/1.4858899

Implementation and application of two synthetic diagnostics for validating simulations of core tokamak turbulence
journal, May 2009

  • Holland, C.; White, A. E.; McKee, G. R.
  • Physics of Plasmas, Vol. 16, Issue 5
  • DOI: 10.1063/1.3085792

Non-dimensional scaling of turbulence characteristics and turbulent diffusivity
journal, September 2001


Isotope and fast ions turbulence suppression effects: Consequences for high-β ITER plasmas
journal, May 2018

  • Garcia, J.; Görler, T.; Jenko, F.
  • Physics of Plasmas, Vol. 25, Issue 5
  • DOI: 10.1063/1.5016331

Collisionality scaling of the electron heat flux in ETG turbulence
journal, March 2017

  • Colyer, G. J.; Schekochihin, A. A.; Parra, F. I.
  • Plasma Physics and Controlled Fusion, Vol. 59, Issue 5
  • DOI: 10.1088/1361-6587/aa5f75

Multi-segment foot modeling for human animation
conference, November 2018

  • Park, Hwangpil; Yu, Ri; Lee, Jehee
  • MIG '18: Motion, Interaction and Games, Proceedings of the 11th Annual International Conference on Motion, Interaction, and Games
  • DOI: 10.1145/3274247.3274508

Collisionality scaling of the electron heat flux in ETG turbulence
text, January 2016


Works referencing / citing this record:

NSTX/NSTX-U theory, modeling and analysis results
journal, June 2019