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Title: Validation metrics for turbulent plasma transport

Abstract

Developing accurate models of plasma dynamics is essential for confident predictive modeling of current and future fusion devices. In modern computer science and engineering, formal verification and validation processes are used to assess model accuracy and establish confidence in the predictive capabilities of a given model. This paper provides an overview of the key guiding principles and best practices for the development of validation metrics, illustrated using examples from investigations of turbulent transport in magnetically confined plasmas. Particular emphasis is given to the importance of uncertainty quantification and its inclusion within the metrics, and the need for utilizing synthetic diagnostics to enable quantitatively meaningful comparisons between simulation and experiment. As a starting point, the structure of commonly used global transport model metrics and their limitations is reviewed. An alternate approach is then presented, which focuses upon comparisons of predicted local fluxes, fluctuations, and equilibrium gradients against observation. Furthermore, the utility of metrics based upon these comparisons is demonstrated by applying them to gyrokinetic predictions of turbulent transport in a variety of discharges performed on the DIII-D tokamak, as part of a multi-year transport model validation activity.

Authors:
Publication Date:
Research Org.:
Univ. of California, San Diego, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Fusion Energy Sciences (FES)
OSTI Identifier:
1259193
Alternate Identifier(s):
OSTI ID: 1420654; OSTI ID: 1434473
Grant/Contract Number:  
FG02-06ER54871; SC0006957
Resource Type:
Published Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Name: Physics of Plasmas Journal Volume: 23 Journal Issue: 6; Journal ID: ISSN 1070-664X
Publisher:
American Institute of Physics
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Error Analysis; Plasma Gyrokinetics; Turbulent Transport Process; Plasma Diagnostics; Plasma Fluctuations; Experiment Design; Plasma Turbulence; Turbulence Simulations; Plasma Temperature

Citation Formats

Holland, C. Validation metrics for turbulent plasma transport. United States: N. p., 2016. Web. doi:10.1063/1.4954151.
Holland, C. Validation metrics for turbulent plasma transport. United States. https://doi.org/10.1063/1.4954151
Holland, C. Wed . "Validation metrics for turbulent plasma transport". United States. https://doi.org/10.1063/1.4954151.
@article{osti_1259193,
title = {Validation metrics for turbulent plasma transport},
author = {Holland, C.},
abstractNote = {Developing accurate models of plasma dynamics is essential for confident predictive modeling of current and future fusion devices. In modern computer science and engineering, formal verification and validation processes are used to assess model accuracy and establish confidence in the predictive capabilities of a given model. This paper provides an overview of the key guiding principles and best practices for the development of validation metrics, illustrated using examples from investigations of turbulent transport in magnetically confined plasmas. Particular emphasis is given to the importance of uncertainty quantification and its inclusion within the metrics, and the need for utilizing synthetic diagnostics to enable quantitatively meaningful comparisons between simulation and experiment. As a starting point, the structure of commonly used global transport model metrics and their limitations is reviewed. An alternate approach is then presented, which focuses upon comparisons of predicted local fluxes, fluctuations, and equilibrium gradients against observation. Furthermore, the utility of metrics based upon these comparisons is demonstrated by applying them to gyrokinetic predictions of turbulent transport in a variety of discharges performed on the DIII-D tokamak, as part of a multi-year transport model validation activity.},
doi = {10.1063/1.4954151},
journal = {Physics of Plasmas},
number = 6,
volume = 23,
place = {United States},
year = {Wed Jun 01 00:00:00 EDT 2016},
month = {Wed Jun 01 00:00:00 EDT 2016}
}

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https://doi.org/10.1063/1.4954151

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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

Validating simulations of core tokamak turbulence: current status and future directions
journal, July 2008


Zonal flows in plasma—a review
journal, April 2005


The 2008 Public Release of the International Multi-tokamak Confinement Profile Database
journal, October 2008


Electron temperature gradient driven turbulence
journal, May 2000

  • Jenko, F.; Dorland, W.; Kotschenreuther, M.
  • Physics of Plasmas, Vol. 7, Issue 5
  • DOI: 10.1063/1.874014

Damped eigenmode saturation in plasma fluid turbulence
journal, January 2011

  • Makwana, K. D.; Terry, P. W.; Kim, J. -H.
  • Physics of Plasmas, Vol. 18, Issue 1
  • DOI: 10.1063/1.3530186

Simulation of plasma turbulence in scrape-off layer conditions: the GBS code, simulation results and code validation
journal, November 2012


Chapter 3: MHD stability, operational limits and disruptions
journal, December 1999

  • Mhd, ITER Physics Expert Group on Disrup; Editors, ITER Physics Basis
  • Nuclear Fusion, Vol. 39, Issue 12
  • DOI: 10.1088/0029-5515/39/12/303

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


Chapter 1: Overview and summary
journal, December 1999

  • Editors, ITER Physics Basis; Co-Chairs, ITER Physics Expert Group Chairs an; Unit, ITER Joint Central Team and Physics
  • Nuclear Fusion, Vol. 39, Issue 12
  • DOI: 10.1088/0029-5515/39/12/301

A Landau fluid model for electromagnetic plasma microturbulence
journal, July 2001

  • Snyder, P. B.; Hammett, G. W.
  • Physics of Plasmas, Vol. 8, Issue 7
  • DOI: 10.1063/1.1374238

Role of trapped electron mode turbulence in internal transport barrier control in the Alcator C-Mod Tokamak
journal, May 2004

  • Ernst, D. R.; Bonoli, P. T.; Catto, P. J.
  • Physics of Plasmas, Vol. 11, Issue 5
  • DOI: 10.1063/1.1705653

Modelling of JET Diagnostics Using Bayesian Graphical Models
journal, March 2011

  • Svensson, J.; Ford, O.; McDonald, D. C.
  • Contributions to Plasma Physics, Vol. 51, Issue 2-3
  • DOI: 10.1002/ctpp.201000058

Verification, validation, and predictive capability in computational engineering and physics
journal, September 2004

  • Oberkampf, William L.; Trucano, Timothy G.; Hirsch, Charles
  • Applied Mechanics Reviews, Vol. 57, Issue 5
  • DOI: 10.1115/1.1767847

Quantification of Uncertainty in Computational Fluid Dynamics
journal, January 1997


Edge-localized-modes in tokamaks
journal, September 2014


Toward a Better Understanding of Model Validation Metrics
journal, July 2011

  • Liu, Yu; Chen, Wei; Arendt, Paul
  • Journal of Mechanical Design, Vol. 133, Issue 7
  • DOI: 10.1115/1.4004223

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


Verification and validation of linear gyrokinetic simulation of Alfvén eigenmodes in the DIII-D tokamak
journal, August 2012

  • Spong, D. A.; Bass, E. M.; Deng, W.
  • Physics of Plasmas, Vol. 19, Issue 8
  • DOI: 10.1063/1.4747505

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


Comparison of turbulence measurements from DIII-D low-mode and high-performance plasmas to turbulence simulations and models
journal, May 2002

  • Rhodes, T. L.; Leboeuf, J. -N.; Sydora, R. D.
  • Physics of Plasmas, Vol. 9, Issue 5
  • DOI: 10.1063/1.1464544

Investigation of fast particle driven instabilities by 2D electron cyclotron emission imaging on ASDEX Upgrade
journal, November 2011


Multi-scale gyrokinetic simulation of Alcator C-Mod tokamak discharges
journal, March 2014

  • Howard, N. T.; White, A. E.; Greenwald, M.
  • Physics of Plasmas, Vol. 21, Issue 3
  • DOI: 10.1063/1.4869078

An introduction to ROC analysis
journal, June 2006


A global collisionless PIC code in magnetic coordinates
journal, September 2007


Gyrokinetic studies of core turbulence features in ASDEX Upgrade H-mode plasmas
journal, April 2015

  • Navarro, A. Bañón; Happel, T.; Görler, T.
  • Physics of Plasmas, Vol. 22, Issue 4
  • DOI: 10.1063/1.4919022

Comprehensive Approach to Verification and Validation of CFD Simulations—Part 1: Methodology and Procedures
journal, July 2001

  • Stern, Fred; Wilson, Robert V.; Coleman, Hugh W.
  • Journal of Fluids Engineering, Vol. 123, Issue 4
  • DOI: 10.1115/1.1412235

Trapped electron mode driven electron heat transport in JET: experimental investigation and gyro-kinetic theory validation
journal, September 2015


Role of stable eigenmodes in saturated local plasma turbulence
journal, February 2006

  • Terry, P. W.; Baver, D. A.; Gupta, Sangeeta
  • Physics of Plasmas, Vol. 13, Issue 2
  • DOI: 10.1063/1.2168453

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


Finite-Resistivity Instabilities of a Sheet Pinch
journal, January 1963

  • Furth, Harold P.; Killeen, John; Rosenbluth, Marshall N.
  • Physics of Fluids, Vol. 6, Issue 4
  • DOI: 10.1063/1.1706761

Nonlinear electromagnetic gyrokinetic equation for plasmas with large mean flows
journal, July 1998

  • Sugama, H.; Horton, W.
  • Physics of Plasmas, Vol. 5, Issue 7
  • DOI: 10.1063/1.872941

Multiscale features of density and frequency spectra from nonlinear gyrokinetics
journal, October 2008

  • Görler, T.; Jenko, F.
  • Physics of Plasmas, Vol. 15, Issue 10
  • DOI: 10.1063/1.3006086

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


Measures of agreement between computation and experiment: Validation metrics
journal, September 2006

  • Oberkampf, William L.; Barone, Matthew F.
  • Journal of Computational Physics, Vol. 217, Issue 1
  • DOI: 10.1016/j.jcp.2006.03.037

Determination of Z eff by integrating measurements from x-ray tomography and charge exchange recombination spectroscopy
journal, November 2015


A flux-matched gyrokinetic analysis of DIII-D L-mode turbulence
journal, December 2014

  • Görler, T.; White, A. E.; Told, D.
  • Physics of Plasmas, Vol. 21, Issue 12
  • DOI: 10.1063/1.4904301

Study of the L-mode tokamak plasma “shortfall” with local and global nonlinear gyrokinetic δf particle-in-cell simulation
journal, November 2014

  • Chowdhury, J.; Wan, Weigang; Chen, Yang
  • Physics of Plasmas, Vol. 21, Issue 11
  • DOI: 10.1063/1.4901031

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

Profile stiffness and global confinement
journal, July 2004


Basic physics of Alfvén instabilities driven by energetic particles in toroidally confined plasmas
journal, May 2008


Sizing up plasmas using dimensionless parameters
journal, August 2008


Comparisons and physics basis of tokamak transport models and turbulence simulations
journal, March 2000

  • Dimits, A. M.; Bateman, G.; Beer, M. A.
  • Physics of Plasmas, Vol. 7, Issue 3
  • DOI: 10.1063/1.873896

Nonlinear gyrokinetic simulations of the I-mode high confinement regime and comparisons with experimenta)
journal, May 2015

  • White, A. E.; Howard, N. T.; Creely, A. J.
  • Physics of Plasmas, Vol. 22, Issue 5
  • DOI: 10.1063/1.4921150

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


3D toroidal physics: Testing the boundaries of symmetry breakinga)
journal, May 2015


Langmuir probe-based observables for plasma-turbulence code validation and application to the TORPEX basic plasma physics experiment
journal, May 2009

  • Ricci, Paolo; Theiler, C.; Fasoli, A.
  • Physics of Plasmas, Vol. 16, Issue 5
  • DOI: 10.1063/1.3082698

Gyro‐Landau fluid models for toroidal geometry
journal, October 1992

  • Waltz, R. E.; Dominguez, R. R.; Hammett, G. W.
  • Physics of Fluids B: Plasma Physics, Vol. 4, Issue 10
  • DOI: 10.1063/1.860422

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


Fast Ion Induced Shearing of 2D Alfvén Eigenmodes Measured by Electron Cyclotron Emission Imaging
journal, February 2011


Fast-ion Dα measurements of the fast-ion distribution (invited)
journal, October 2010

  • Heidbrink, W. W.
  • Review of Scientific Instruments, Vol. 81, Issue 10
  • DOI: 10.1063/1.3478739

Nonlinear gyrokinetic equations for low-frequency electromagnetic waves in general plasma equilibria
journal, January 1982


Fluid models of phase mixing, Landau damping, and nonlinear gyrokinetic dynamics
journal, March 1992

  • Hammett, G. W.; Dorland, W.; Perkins, F. W.
  • Physics of Fluids B: Plasma Physics, Vol. 4, Issue 7
  • DOI: 10.1063/1.860014

Verification and validation for magnetic fusion
journal, May 2010


Transport simulation on L-mode and improved confinement associated with current profile modification
journal, June 1995


Quantitative predictions of tokamak energy confinement from first‐principles simulations with kinetic effects
journal, June 1995

  • Kotschenreuther, M.; Dorland, W.; Beer, M. A.
  • Physics of Plasmas, Vol. 2, Issue 6
  • DOI: 10.1063/1.871261

Comparing simulation of plasma turbulence with experiment. II. Gyrokinetic simulations
journal, December 2002

  • Ross, David W.; Dorland, William
  • Physics of Plasmas, Vol. 9, Issue 12
  • DOI: 10.1063/1.1518997

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

Benchmarking of codes for electron cyclotron heating and electron cyclotron current drive under ITER conditions
journal, January 2008


Heating and current drive by electron cyclotron waves
journal, May 2004


A theory-based transport model with comprehensive physics
journal, May 2007

  • Staebler, G. M.; Kinsey, J. E.; Waltz, R. E.
  • Physics of Plasmas, Vol. 14, Issue 5
  • DOI: 10.1063/1.2436852

A gyro-Landau-fluid transport model
journal, July 1997

  • Waltz, R. E.; Staebler, G. M.; Dorland, W.
  • Physics of Plasmas, Vol. 4, Issue 7
  • DOI: 10.1063/1.872228

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

Verification and validation in computational fluid dynamics
journal, April 2002


Validation in fusion research: Towards guidelines and best practices
journal, June 2008

  • Terry, P. W.; Greenwald, M.; Leboeuf, J. -N.
  • Physics of Plasmas, Vol. 15, Issue 6
  • DOI: 10.1063/1.2928909

Chapter 2: Plasma confinement and transport
journal, December 1999

  • Transport, ITER Physics Expert Group on Confin; Database, ITER Physics Expert Group on Confin; Editors, ITER Physics Basis
  • Nuclear Fusion, Vol. 39, Issue 12
  • DOI: 10.1088/0029-5515/39/12/302

Comparing simulation of plasma turbulence with experiment
journal, January 2002

  • Ross, David W.; Bravenec, Ronald V.; Dorland, William
  • Physics of Plasmas, Vol. 9, Issue 1
  • DOI: 10.1063/1.1424925

Fluid moment models for Landau damping with application to the ion-temperature-gradient instability
journal, June 1990


Chapter 2: Plasma confinement and transport
journal, June 2007

  • Physics), E. J. Doyle (Chair Transport; Modelling), W. A. Houlberg (Chair Confinement Da; Edge), Y. Kamada (Chair Pedestal and
  • Nuclear Fusion, Vol. 47, Issue 6
  • DOI: 10.1088/0029-5515/47/6/S02

Rainbow Color Map (Still) Considered Harmful
journal, March 2007

  • Borland, David; Taylor Ii, Russell
  • IEEE Computer Graphics and Applications, Vol. 27, Issue 2
  • DOI: 10.1109/MCG.2007.323435

A review of the dimensionless parameter scaling studies
journal, December 1996


Application of dimensionless parameter scaling techniques to the design and interpretation of magnetic fusion experiments
journal, March 2008


ITER: burning plasma physics experiment
journal, March 2003

  • Green, B. J.; Teams, ITER International Team and Partici
  • Plasma Physics and Controlled Fusion, Vol. 45, Issue 5
  • DOI: 10.1088/0741-3335/45/5/312

Chapter 6: Steady state operation
journal, June 2007


Resonant magnetic perturbations of edge-plasmas in toroidal confinement devices
journal, November 2015


First scenario development with the JET new ITER-like wall
journal, December 2013


Theory of plasma transport in toroidal confinement systems
journal, April 1976


Drift waves and transport
journal, April 1999


Gyrofluid turbulence models with kinetic effects
journal, March 1993

  • Dorland, W.; Hammett, G. W.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 3
  • DOI: 10.1063/1.860934

Toroidal gyrofluid equations for simulations of tokamak turbulence
journal, November 1996

  • Beer, M. A.; Hammett, G. W.
  • Physics of Plasmas, Vol. 3, Issue 11
  • DOI: 10.1063/1.871538

Gyro-Landau fluid equations for trapped and passing particles
journal, October 2005

  • Staebler, G. M.; Kinsey, J. E.; Waltz, R. E.
  • Physics of Plasmas, Vol. 12, Issue 10
  • DOI: 10.1063/1.2044587

Full-F gyrofluid model
journal, July 2013


Interaction of tearing modes with external structures in cylindrical geometry (plasma)
journal, July 1993


Comparison of initial value and eigenvalue codes for kinetic toroidal plasma instabilities
journal, August 1995


An Eulerian gyrokinetic-Maxwell solver
journal, April 2003


The nonlinear gyro-kinetic flux tube code GKW
journal, December 2009

  • Peeters, A. G.; Camenen, Y.; Casson, F. J.
  • Computer Physics Communications, Vol. 180, Issue 12
  • DOI: 10.1016/j.cpc.2009.07.001

Computation-Communication Overlap Techniques for Parallel Spectral Calculations in Gyrokinetic Vlasov Simulations
journal, January 2013

  • Maeyama, Shinya; Watanabe, Tomohiko; Idomura, Yasuhiro
  • Plasma and Fusion Research, Vol. 8, Issue 0
  • DOI: 10.1585/pfr.8.1403150

Turbulent Transport Reduction by Zonal Flows: Massively Parallel Simulations
journal, September 1998


Nonlocal neoclassical transport in tokamak and spherical torus experiments
journal, August 2006

  • Wang, W. X.; Rewoldt, G.; Tang, W. M.
  • Physics of Plasmas, Vol. 13, Issue 8
  • DOI: 10.1063/1.2244532

Electromagnetic gyrokinetic δf particle-in-cell turbulence simulation with realistic equilibrium profiles and geometry
journal, January 2007


Global full- f gyrokinetic simulations of plasma turbulence
journal, November 2007


Tokamak profile prediction using direct gyrokinetic and neoclassical simulation
journal, June 2009

  • Candy, J.; Holland, C.; Waltz, R. E.
  • Physics of Plasmas, Vol. 16, Issue 6
  • DOI: 10.1063/1.3167820

Direct multiscale coupling of a transport code to gyrokinetic turbulence codes
journal, May 2010

  • Barnes, M.; Abel, I. G.; Dorland, W.
  • Physics of Plasmas, Vol. 17, Issue 5
  • DOI: 10.1063/1.3323082

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

Cross-Scale Interactions between Electron and Ion Scale Turbulence in a Tokamak Plasma
journal, June 2015


A new gyrokinetic quasilinear transport model applied to particle transport in tokamak plasmas
journal, November 2007

  • Bourdelle, C.; Garbet, X.; Imbeaux, F.
  • Physics of Plasmas, Vol. 14, Issue 11
  • DOI: 10.1063/1.2800869

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

Electron heat transport studies
journal, November 2006


Experimental Study of the Ion Critical-Gradient Length and Stiffness Level and the Impact of Rotation in the JET Tokamak
journal, April 2009


Electron profile stiffness and critical gradient studies
journal, August 2012

  • DeBoo, J. C.; Petty, C. C.; White, A. E.
  • Physics of Plasmas, Vol. 19, Issue 8
  • DOI: 10.1063/1.4750061

Observation of a Critical Gradient Threshold for Electron Temperature Fluctuations in the DIII-D Tokamak
journal, January 2013


The European turbulence code benchmarking effort: turbulence driven by thermal gradients in magnetically confined plasmas
journal, November 2008


A Key to Improved Ion Core Confinement in the JET Tokamak: Ion Stiffness Mitigation due to Combined Plasma Rotation and Low Magnetic Shear
journal, September 2011


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

Nonlinear Stabilization of Tokamak Microturbulence by Fast Ions
journal, October 2013


Ion temperature profile stiffness: non-linear gyrokinetic simulations and comparison with experiment
journal, February 2014


Impurity transport, turbulence transitions and intrinsic rotation in Alcator C-Mod plasmas
journal, November 2014


Electromagnetic stabilization of tokamak microturbulence in a high- β regime
journal, November 2014


A standard DT supershot simulation
journal, September 1994


Local transport in Joint European Tokamak edge-localized, high-confinement mode plasmas with H, D, DT, and T isotopes
journal, December 2000

  • Budny, R. V.; Ernst, D. R.; Hahm, T. S.
  • Physics of Plasmas, Vol. 7, Issue 12
  • DOI: 10.1063/1.1320466

The behaviour of fast ions in tokamak experiments
journal, April 1994


Fast electron bremsstrahlung in axisymmetric magnetic configuration
journal, September 2008

  • Peysson, Y.; Decker, J.
  • Physics of Plasmas, Vol. 15, Issue 9
  • DOI: 10.1063/1.2981391

Fullwave Simulations of Lower Hybrid Waves Coupled to 3D Fokker-Planck Solver: Comparison with Alcator C-Mod Experiment
journal, July 2011

  • Meneghini, O.; Shiraiwa, S.; Faust, I.
  • Fusion Science and Technology, Vol. 60, Issue 1T
  • DOI: 10.13182/FST11-A12403

Time dependent evolution of RF-generated non-thermal particle distributions in fusion plasmas
journal, March 2014


Ion cyclotron range of frequencies mode conversion electron heating in deuterium–hydrogen plasmas in the Alcator C-Mod tokamak
journal, May 2003


Lower hybrid current drive experiments on Alcator C-Mod: Comparison with theory and simulation
journal, May 2008

  • Bonoli, P. T.; Ko, J.; Parker, R.
  • Physics of Plasmas, Vol. 15, Issue 5
  • DOI: 10.1063/1.2904569

Observation and modelling of ion cyclotron range of frequencies waves in the mode conversion region of Alcator C-Mod
journal, July 2005


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

Integrated Data Analysis of Profile Diagnostics at ASDEX Upgrade
journal, October 2010

  • Fischer, R.; Fuchs, C. J.; Kurzan, B.
  • Fusion Science and Technology, Vol. 58, Issue 2
  • DOI: 10.13182/FST10-110

Integrated data analysis at TJ-II: The density profile
journal, July 2011

  • van Milligen, B. Ph.; Estrada, T.; Ascasíbar, E.
  • Review of Scientific Instruments, Vol. 82, Issue 7
  • DOI: 10.1063/1.3608551

Edge radial electric field structure in quiescent H-mode plasmas in the DIII-D tokamak
journal, April 2004


Suppression of turbulence and transport by sheared flow
journal, January 2000


Ray tracing study of the electron cyclotron current drive in DIII-D using 60 GHz
journal, January 1989

  • Matsuda, K.
  • IEEE Transactions on Plasma Science, Vol. 17, Issue 1
  • DOI: 10.1109/27.21664

Linear and nonlinear verification of gyrokinetic microstability codes
journal, December 2011

  • Bravenec, R. V.; Candy, J.; Barnes, M.
  • Physics of Plasmas, Vol. 18, Issue 12
  • DOI: 10.1063/1.3671907

On the Validation of Gyrokinetic L-Mode Simulations
journal, April 2016

  • Görler, T.; White, A. E.; Told, D.
  • Fusion Science and Technology, Vol. 69, Issue 2
  • DOI: 10.13182/FST15-182

Coupled ion temperature gradient and trapped electron mode to electron temperature gradient mode gyrokinetic simulations
journal, May 2007

  • Waltz, R. E.; Candy, J.; Fahey, M.
  • Physics of Plasmas, Vol. 14, Issue 5
  • DOI: 10.1063/1.2436851

The effect of ion-scale dynamics on electron-temperature-gradient turbulence
journal, July 2007


Scale Separation between Electron and Ion Thermal Transport
journal, May 2008


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


Methodology for turbulence code validation: Quantification of simulation-experiment agreement and application to the TORPEX experiment
journal, March 2011

  • Ricci, Paolo; Theiler, C.; Fasoli, A.
  • Physics of Plasmas, Vol. 18, Issue 3
  • DOI: 10.1063/1.3559436

Summarizing multiple aspects of model performance in a single diagram
journal, April 2001

  • Taylor, Karl E.
  • Journal of Geophysical Research: Atmospheres, Vol. 106, Issue D7
  • DOI: 10.1029/2000JD900719

Electrostatic instabilities, turbulence and fast ion interactions in the TORPEX device
journal, November 2010


System for simulating fluctuation diagnostics for application to turbulence computations
journal, January 2006

  • Bravenec, R. V.; Nevins, W. M.
  • Review of Scientific Instruments, Vol. 77, Issue 1
  • DOI: 10.1063/1.2151857

Comparison of scrape-off layer turbulence simulations with experiments using a synthetic gas puff imaging diagnostic
journal, February 2011

  • Russell, D. A.; Myra, J. R.; D’Ippolito, D. A.
  • Physics of Plasmas, Vol. 18, Issue 2
  • DOI: 10.1063/1.3553024

High sensitivity beam emission spectroscopy for core plasma turbulence imaging (invited)
journal, October 2006

  • McKee, G. R.; Fonck, R. J.; Gupta, D. K.
  • Review of Scientific Instruments, Vol. 77, Issue 10
  • DOI: 10.1063/1.2219429

Spatial transfer function for the beam emission spectroscopy diagnostic on DIII-D
journal, October 2006

  • Shafer, M. W.; Fonck, R. J.; McKee, G. R.
  • Review of Scientific Instruments, Vol. 77, Issue 10
  • DOI: 10.1063/1.2221908

Saturation of Gyrokinetic Turbulence through Damped Eigenmodes
journal, March 2011


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

The Homogeneous Chaos
journal, October 1938

  • Wiener, Norbert
  • American Journal of Mathematics, Vol. 60, Issue 4
  • DOI: 10.2307/2371268

Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics
journal, January 2009


Chapter 3: MHD stability, operational limits and disruptions
journal, June 2007


Predictive capability of MHD stability limits in high performance DIII-D discharges
journal, July 2002


Theory and Simulation Basis for Magnetohydrodynamic Stability in DIII-D
journal, October 2005

  • Turnbull, A. D.; Brennan, D. P.; Chu, M. S.
  • Fusion Science and Technology, Vol. 48, Issue 2
  • DOI: 10.13182/FST05-A1046

Fast imaging of transients and coherent magnetohydrodynamic modes in DIII-D
journal, May 2009

  • Yu, J. H.; Van Zeeland, M. A.; Chu, M. S.
  • Physics of Plasmas, Vol. 16, Issue 5
  • DOI: 10.1063/1.3118626

Radial Structure of Alfvén Eigenmodes in the DIII-D Tokamak through Electron-Cyclotron-Emission Measurements
journal, September 2006


On the application of electron cyclotron emission imaging to the validation of theoretical models of magnetohydrodynamic activity
journal, May 2011

  • Tobias, B. J.; Boivin, R. L.; Boom, J. E.
  • Physics of Plasmas, Vol. 18, Issue 5
  • DOI: 10.1063/1.3563572

A design retrospective of the DIII-D tokamak
journal, May 2002


Works referencing / citing this record:

Shaping effects on scrape-off layer plasma turbulence: A rigorous validation of three-dimensional simulations against TCV measurements
journal, January 2020

  • Riva, F.; Tsui, C. K.; Boedo, J. A.
  • Physics of Plasmas, Vol. 27, Issue 1
  • DOI: 10.1063/1.5123451

Tractable flux-driven temperature, density, and rotation profile evolution with the quasilinear gyrokinetic transport model QuaLiKiz
journal, November 2017

  • Citrin, J.; Bourdelle, C.; Casson, F. J.
  • Plasma Physics and Controlled Fusion, Vol. 59, Issue 12
  • DOI: 10.1088/1361-6587/aa8aeb

Criteria for the importance of multi-scale interactions in turbulent transport simulations
journal, June 2019

  • Creely, A. J.; Rodriguez-Fernandez, P.; Conway, G. D.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 8
  • DOI: 10.1088/1361-6587/ab24ae

Comparison between measured and predicted turbulence frequency spectra in ITG and TEM regimes
journal, May 2017

  • Citrin, J.; Arnichand, H.; Bernardo, J.
  • Plasma Physics and Controlled Fusion, Vol. 59, Issue 6
  • DOI: 10.1088/1361-6587/aa6d1d

Validation study of GENE on ASDEX Upgrade using perturbative thermal diffusivity measured with partial sawtooth heat pulses
journal, September 2018


Propagation of input parameter uncertainties in transport models
journal, October 2018

  • Vaezi, P.; Holland, C.; Grierson, B. A.
  • Physics of Plasmas, Vol. 25, Issue 10
  • DOI: 10.1063/1.5053906

Optimal MSE polarisation angle and q-profile estimation using Kalman filters and the plasma simulator RAPTOR
journal, February 2019

  • Messmer, M. C. C.; Felici, F.; Sauter, O.
  • Plasma Physics and Controlled Fusion, Vol. 61, Issue 3
  • DOI: 10.1088/1361-6587/aaf7ed

Main-ion intrinsic toroidal rotation across the ITG/TEM boundary in DIII-D discharges during ohmic and electron cyclotron heating
journal, April 2019

  • Grierson, B. A.; Chrystal, C.; Haskey, S. R.
  • Physics of Plasmas, Vol. 26, Issue 4
  • DOI: 10.1063/1.5090505

Experimental trends of reflectometry frequency spectra emerging from a systematic analysis of the Tore Supra database
journal, March 2019

  • Sun, Y.; Sabot, R.; Heuraux, S.
  • Physics of Plasmas, Vol. 26, Issue 3
  • DOI: 10.1063/1.5082953