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Stability and transport of gyrokinetic critical pedestals

Journal Article · · Nuclear Fusion
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Abstract

A gyrokinetic threshold model for pedestal width–height scaling prediction is applied to multiple devices. A shaping and aspect ratio scan is performed on National Spherical Torus Experiment (NSTX) equilibria, finding Δ ped = 0.92 A 1.04 κ 1.24 0.38 δ β θ , ped 1.05 for the wide-pedestal branch with pedestal width Δ ped , aspect ratio A , elongation κ , triangularity δ , and normalized pedestal height β θ , ped . The width–transport scaling is found to vary significantly if the pedestal height is varied either with a fixed density or fixed temperature, showing how fueling and heating sources affect the pedestal density and temperature profiles for the kinetic-ballooning-mode (KBM) limited profiles. For an NSTX equilibrium, at fixed density, the wide branch is Δ ped = 0.028 ( q e / Γ e 1.7 ) 1.5 η e 1.5 and at fixed temperature Δ ped = 0.31 ( q e / Γ e 4.7 ) 0.85 η e 0.85 , where q e and Γ e are turbulent electron heat and particle fluxes and η e = ln T e / ln n e for an electron temperature T e and density n e . Pedestals close to the KBM limit are shown to have modified turbulent transport coefficients compared to the strongly driven KBMs. The role of flow shear is studied as a width–height scaling constraint and pedestal saturation mechanism for a standard and lithiated wide pedestal discharge. Finally, the stability, transport, and flow shear constraints are combined and examined for an NSTX experiment.

Sponsoring Organization:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
Grant/Contract Number:
AC02-09CH11466
OSTI ID:
2377463
Alternate ID(s):
OSTI ID: 2352291
OSTI ID: 2376985
Journal Information:
Nuclear Fusion, Journal Name: Nuclear Fusion Journal Issue: 8 Vol. 64; ISSN 0029-5515
Publisher:
IOP PublishingCopyright Statement
Country of Publication:
IAEA
Language:
English

References (126)

Attainment of high confinement in neutral beam heated divertor discharges in the PDX tokamak journal May 1984
Effect of progressively increasing lithium conditioning on edge transport and stability in high triangularity NSTX H-modes journal April 2017
A high-accuracy Eulerian gyrokinetic solver for collisional plasmas journal November 2016
Dependence of recycling and edge profiles on lithium evaporation in high triangularity, high performance NSTX H-mode discharges journal August 2015
Kinetic ballooning modes in tokamaks and stellarators journal December 2018
Overview of the SPARC tokamak journal September 2020
Projections of H-mode access and edge pedestal in the SPARC tokamak journal September 2020
Electromagnetic instabilities and plasma turbulence driven by electron-temperature gradient journal August 2022
Complex structure of turbulence across the ASDEX Upgrade pedestal journal December 2023
Critical gradient formula for toroidal electron temperature gradient modes journal September 2001
Edge localized modes and the pedestal: A model based on coupled peeling–ballooning modes journal May 2002
The role of neutrals in high-mode (H-mode) pedestal formation journal May 2002
Physics of pedestal density profile formation and its impact on H-mode density limit in burning plasmas journal October 2003
Parallel velocity shear instabilities in an inhomogeneous plasma with a sheared magnetic field journal January 1973
Role of trapped electron mode turbulence in internal transport barrier control in the Alcator C-Mod Tokamak journal May 2004
Effects of high density peaking and high collisionality on the stabilization of the electrostatic turbulence in the Frascati Tokamak Upgrade journal August 2004
Gyrokinetic microinstabilities in ASDEX Upgrade edge plasmas journal October 2008
Gyrokinetic turbulence simulations at high plasma beta journal October 2008
Tokamak profile prediction using direct gyrokinetic and neoclassical simulation journal June 2009
Direct multiscale coupling of a transport code to gyrokinetic turbulence codes journal May 2010
H-mode pedestal scaling in DIII-D, ASDEX Upgrade, and JET journal May 2011
Influence of equilibrium shear flow on peeling-ballooning instability and edge localized mode crash journal September 2012
Microturbulence in DIII-D tokamak pedestal. I. Electrostatic instabilities journal April 2014
Investigation of the plasma shaping effects on the H-mode pedestal structure using coupled kinetic neoclassical/MHD stability simulations journal June 2017
Considerations of ion‐temperature‐gradient‐driven turbulence journal October 1991
Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria journal January 1982
Stable equilibria for bootstrap-current-driven low aspect ratio tokamaks journal April 1997
Gyrofluid simulations of turbulence suppression in reversed-shear experiments on the Tokamak Fusion Test Reactor journal May 1997
Neoclassical conductivity and bootstrap current formulas for general axisymmetric equilibria and arbitrary collisionality regime journal July 1999
Modification of high mode pedestal instabilities in the DIII-D tokamak journal May 2000
A new set of analytical formulae for the computation of the bootstrap current and the neoclassical conductivity in tokamaks journal February 2021
Reduced models for ETG transport in the tokamak pedestal journal June 2022
Linear ion-scale microstability analysis of high and low-collisionality NSTX discharges and NSTX-U projections journal October 2022
Kinetic-ballooning-bifurcation in tokamak pedestals across shaping and aspect-ratio journal March 2024
Global micro-tearing modes in the wide pedestal of an NSTX plasma journal April 2024
Orchestrating TRANSP Simulations for Interpretative and Predictive Tokamak Modeling with OMFIT journal February 2018
Kinetic-ballooning-mode theory in general geometry journal November 1980
Features of spherical torus plasmas journal June 1986
Dependence of edge stability on plasma shape and local pressure gradients in the DIII-D and JT-60U tokamaks journal March 2001
A design retrospective of the DIII-D tokamak journal May 2002
Impact of the α parameter on the microstability of internal transport barriers journal February 2005
The radial electric field and its associated shear in the ASDEX Upgrade tokamak journal August 2006
Chapter 1: Overview and summary journal June 2007
Pedestal performance dependence upon plasma shape in DIII-D journal June 2007
Stability and dynamics of the edge pedestal in the low collisionality regime: physics mechanisms for steady-state ELM-free operation journal August 2007
Pedestal stability comparison and ITER pedestal prediction journal July 2009
Limits to the H-mode pedestal pressure gradient in DIII-D journal May 2010
A first-principles predictive model of the pedestal height and width: development, testing and ITER optimization with the EPED model journal August 2011
ITER predictions using the GYRO verified and experimentally validated trapped gyro-Landau fluid transport model journal June 2011
Linear gyrokinetic analysis of a DIII-D H-mode pedestal near the ideal ballooning threshold journal September 2012
Characterization of the pedestal in Alcator C-Mod ELMing H-modes and comparison with the EPED model journal April 2012
Pedestal structure and stability in H-mode and I-mode: a comparative study on Alcator C-Mod journal March 2013
Progress in characterization of the pedestal stability and turbulence during the edge-localized-mode cycle on National Spherical Torus Experiment journal August 2013
Gyrokinetic study of ASDEX Upgrade inter-ELM pedestal profile evolution journal May 2015
Integrated modeling applications for tokamak experiments with OMFIT journal July 2015
Super H-mode: theoretical prediction and initial observations of a new high performance regime for tokamak operation journal July 2015
Microtearing turbulence limiting the JET-ILW pedestal journal August 2016
Fusion nuclear science facilities and pilot plants based on the spherical tokamak journal August 2016
JET ITER-like wall—overview and experimental programme journal December 2011
Linearized gyro-kinetics journal July 1978
Multiscale gyrokinetics for rotating tokamak plasmas: fluctuations, transport and energy flows journal October 2013
Micro-tearing stability in Tokamaks journal October 1990
Effect of plasma shape variation on ELMs and H-mode pedestal properties in ASDEX Upgrade journal May 2000
The effect of plasma shape on H-mode pedestal characteristics on DIII-D journal May 2000
Limitations of gyrokinetics on transport time scales journal April 2008
Pedestal width and ELM size identity studies in JET and DIII-D; implications for ITER journal November 2009
Understanding the effect of sheared flow on microinstabilities journal November 2010
Subcritical fluctuations and suppression of turbulence in differentially rotating gyrokinetic plasmas journal April 2012
Microtearing modes at the top of the pedestal journal June 2013
An analytic functional form for characterization and generation of axisymmetric plasma boundaries journal July 2013
Kinetic microtearing modes and reconnecting modes in strongly magnetised slab plasmas journal April 2015
Pedestal properties of H-modes with negative triangularity using the EPED-CH model journal August 2017
Pedestal and edge electrostatic turbulence characteristics from an XGC1 gyrokinetic simulation journal August 2017
Integrated modelling of H-mode pedestal and confinement in JET-ILW journal November 2017
Extended electron tails in electrostatic microinstabilities and the nonadiabatic response of passing electrons journal March 2022
Pedestal analysis of MAST ELMy regimes journal March 2022
Application of machine learning and artificial intelligence to extend EFIT equilibrium reconstruction journal June 2022
Supervised learning approaches to modeling pedestal density journal February 2023
New linear stability parameter to describe low-β electromagnetic microinstabilities driven by passing electrons in axisymmetric toroidal geometry journal March 2023
Pedestal particle balance studies in JET-ILW H-mode plasmas journal March 2023
Investigation of energy transport in DIII-D High- β P EAST-demonstration discharges with the TGLF turbulent and NEO neoclassical transport models journal January 2017
A gyrokinetic perspective on the JET-ILW pedestal journal January 2017
Overview of progress in European medium sized tokamaks towards an integrated plasma-edge/wall solution journal June 2017
Pedestal transport in H-mode plasmas for fusion gain journal April 2017
Bifurcation of quiescent H-mode to a wide pedestal regime in DIII-D and advances in the understanding of edge harmonic oscillations journal June 2017
Density gradient driven microinstabilities and turbulence in ASDEX Upgrade pellet fuelled plasmas journal August 2017
Access to pedestal pressure relevant to burning plasmas on the high magnetic field tokamak Alcator C-Mod journal September 2018
Gyrokinetic analysis and simulation of pedestals to identify the culprits for energy losses using ‘fingerprints’ journal July 2019
High fusion performance in Super H-mode experiments on Alcator C-Mod and DIII-D journal June 2019
Direct gyrokinetic comparison of pedestal transport in JET with carbon and ITER-like walls journal July 2019
Shafranov shift bifurcation of turbulent transport in the high β p scenario on DIII-D journal September 2019
The dominant micro-turbulence instabilities in the lower q 95 high β p plasmas on DIII-D and predict-first extrapolation journal November 2019
Connecting the global H-mode power threshold to the local radial electric field at ASDEX Upgrade journal May 2020
Overview of density pedestal structure: role of fueling versus transport journal July 2020
Toroidal and slab ETG instability dominance in the linear spectrum of JET-ILW pedestals journal October 2020
Microtearing modes as the source of magnetic fluctuations in the JET pedestal journal February 2021
Testing predictions of electron scale turbulent pedestal transport in two DIII-D ELMy H-modes journal April 2021
Nonlinear gyrokinetic predictions of SPARC burning plasma profiles enabled by surrogate modeling journal May 2022
The role of ETG modes in JET–ILW pedestals with varying levels of power and fuelling journal June 2022
Three-dimensional inhomogeneity of electron-temperature-gradient turbulence in the edge of tokamak plasmas journal July 2022
Global gyrokinetic simulations of ASDEX Upgrade up to the transport timescale with GENE–Tango journal September 2022
Testing a prediction model for the H-mode density pedestal against JET-ILW pedestals journal March 2023
Electromagnetic gyrokinetic instabilities in STEP journal November 2023
NSTX-U research advancing the physics of spherical tokamaks journal March 2024
Modeling electron temperature profiles in the pedestal with simple formulas for ETG transport journal April 2024
Kinetic-ballooning-limited pedestals in spherical tokamak plasmas journal April 2024
High Mode Number Stability of an Axisymmetric Toroidal Plasma
  • Connor, J. W.; Hastie, R. J.; Taylor, J. B.
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 365, Issue 1720 https://doi.org/10.1098/rspa.1979.0001
journal February 1979
Comparing pedestal structure in JET-ILW H-mode plasmas with a model for stiff ETG turbulent heat transport
  • Field, A. R.; Chapman-Oplopoiou, B.; Connor, J. W.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 381, Issue 2242 https://doi.org/10.1098/rsta.2021.0228
journal January 2023
Triggered Confinement Enhancement and Pedestal Expansion in High-Confinement-Mode Discharges in the National Spherical Torus Experiment journal September 2010
Density Gradient Stabilization of Electron Temperature Gradient Driven Turbulence in a Spherical Tokamak journal April 2011
High-Frequency Coherent Edge Fluctuations in a High-Pedestal-Pressure Quiescent H-Mode Plasma journal July 2011
Critically Balanced Ion Temperature Gradient Turbulence in Fusion Plasmas journal September 2011
Kinetic Instabilities that Limit β in the Edge of a Tokamak Plasma: A Picture of an H -Mode Pedestal journal March 2012
Origin of Magnetic Stochasticity and Transport in Plasma Microturbulence journal June 2012
Global Gyrokinetic Simulation of Tokamak Edge Pedestal Instabilities journal November 2012
Quasistationary Plasma Predator-Prey System of Coupled Turbulence, Drive, and Sheared E × B Flow During High Performance DIII-D Tokamak Discharges journal March 2018
Quasicontinuous Exhaust Scenario for a Fusion Reactor: The Renaissance of Small Edge Localized Modes journal October 2022
Robust Avoidance of Edge-Localized Modes alongside Gradient Formation in the Negative Triangularity Tokamak Edge journal November 2023
Microtearing Modes and Anomalous Transport in Tokamaks journal April 1980
Regime of Improved Confinement and High Beta in Neutral-Beam-Heated Divertor Discharges of the ASDEX Tokamak journal November 1982
Role of edge electric field and poloidal rotation in the L - H transition journal June 1990
Fluid moment models for Landau damping with application to the ion-temperature-gradient instability journal June 1990
Phase Space of Tokamak Edge Turbulence, the L − H Transition, and the Formation of the Edge Pedestal journal November 1998
Electron Temperature Gradient Turbulence journal December 2000
Linear Gyrokinetic Analyses of ITG Modes and Zonal Flows in LHD with High Ion Temperature journal January 2011
GS2 v8.1.0 software December 2021

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