The role of zonal flows in the saturation of multi-scale gyrokinetic turbulence
Abstract
The 2D spectrum of the saturated electric potential from gyrokinetic turbulence simulations that include both ion and electron scales (multi-scale) in axisymmetric tokamak geometry is analyzed. The paradigm that the turbulence is saturated when the zonal (axisymmetic) ExB flow shearing rate competes with linear growth is shown to not apply to the electron scale turbulence. Instead, it is the mixing rate by the zonal ExB velocity spectrum with the turbulent distribution function that competes with linear growth. A model of this mechanism is shown to be able to capture the suppression of electron-scale turbulence by ion-scale turbulence and the threshold for the increase in electron scale turbulence when the ion-scale turbulence is reduced. The model computes the strength of the zonal flow velocity and the saturated potential spectrum from the linear growth rate spectrum. The model for the saturated electric potential spectrum is applied to a quasilinear transport model and shown to accurately reproduce the electron and ion energy fluxes of the non-linear gyrokinetic multi-scale simulations. Finally, the zonal flow mixing saturation model is also shown to reproduce the non-linear upshift in the critical temperature gradient caused by zonal flows in ionscale gyrokinetic simulations.
- Authors:
-
- General Atomics, San Diego, CA (United States)
- Oak Ridge Inst. for Science and Education (ORISE), Oak Ridge, TN (United States)
- Univ. of California, San Diego, CA (United States)
- Publication Date:
- Research Org.:
- General Atomics, San Diego, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1354781
- Grant/Contract Number:
- FC02-04ER54698
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 23; Journal Issue: 6; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Staebler, Gary M., Candy, John, Howard, Nathan T., and Holland, Christopher. The role of zonal flows in the saturation of multi-scale gyrokinetic turbulence. United States: N. p., 2016.
Web. doi:10.1063/1.4954905.
Staebler, Gary M., Candy, John, Howard, Nathan T., & Holland, Christopher. The role of zonal flows in the saturation of multi-scale gyrokinetic turbulence. United States. https://doi.org/10.1063/1.4954905
Staebler, Gary M., Candy, John, Howard, Nathan T., and Holland, Christopher. Wed .
"The role of zonal flows in the saturation of multi-scale gyrokinetic turbulence". United States. https://doi.org/10.1063/1.4954905. https://www.osti.gov/servlets/purl/1354781.
@article{osti_1354781,
title = {The role of zonal flows in the saturation of multi-scale gyrokinetic turbulence},
author = {Staebler, Gary M. and Candy, John and Howard, Nathan T. and Holland, Christopher},
abstractNote = {The 2D spectrum of the saturated electric potential from gyrokinetic turbulence simulations that include both ion and electron scales (multi-scale) in axisymmetric tokamak geometry is analyzed. The paradigm that the turbulence is saturated when the zonal (axisymmetic) ExB flow shearing rate competes with linear growth is shown to not apply to the electron scale turbulence. Instead, it is the mixing rate by the zonal ExB velocity spectrum with the turbulent distribution function that competes with linear growth. A model of this mechanism is shown to be able to capture the suppression of electron-scale turbulence by ion-scale turbulence and the threshold for the increase in electron scale turbulence when the ion-scale turbulence is reduced. The model computes the strength of the zonal flow velocity and the saturated potential spectrum from the linear growth rate spectrum. The model for the saturated electric potential spectrum is applied to a quasilinear transport model and shown to accurately reproduce the electron and ion energy fluxes of the non-linear gyrokinetic multi-scale simulations. Finally, the zonal flow mixing saturation model is also shown to reproduce the non-linear upshift in the critical temperature gradient caused by zonal flows in ionscale gyrokinetic simulations.},
doi = {10.1063/1.4954905},
journal = {Physics of Plasmas},
number = 6,
volume = 23,
place = {United States},
year = {Wed Jun 29 00:00:00 EDT 2016},
month = {Wed Jun 29 00:00:00 EDT 2016}
}
Web of Science
Works referenced in this record:
Numerical experiments on the drift wave–zonal flow paradigm for nonlinear saturation
journal, December 2008
- Waltz, R. E.; Holland, C.
- Physics of Plasmas, Vol. 15, Issue 12
Plasma microturbulence simulation of instabilities at highly disparate scales
journal, July 2007
- Candy, J.; Waltz, R. E.; Fahey, M. R.
- Journal of Physics: Conference Series, Vol. 78
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
Toroidal gyro‐Landau fluid model turbulence simulations in a nonlinear ballooning mode representation with radial modes
journal, July 1994
- Waltz, R. E.; Kerbel, G. D.; Milovich, J.
- Physics of Plasmas, Vol. 1, Issue 7
Multi-scale gyrokinetic simulation of tokamak plasmas: enhanced heat loss due to cross-scale coupling of plasma turbulence
journal, December 2015
- Howard, N. T.; Holland, C.; White, A. E.
- Nuclear Fusion, Vol. 56, Issue 1
An Eulerian gyrokinetic-Maxwell solver
journal, April 2003
- Candy, J.; Waltz, R. E.
- Journal of Computational Physics, Vol. 186, Issue 2
Electron Temperature Gradient Turbulence
journal, December 2000
- Dorland, W.; Jenko, F.; Kotschenreuther, M.
- Physical Review Letters, Vol. 85, Issue 26
Nonlinear Stabilization of Tokamak Microturbulence by Fast Ions
journal, October 2013
- Citrin, J.; Jenko, F.; Mantica, P.
- Physical Review Letters, Vol. 111, Issue 15
Prediction of Significant Tokamak Turbulence at Electron Gyroradius Scales
journal, November 2002
- Jenko, F.; Dorland, W.
- Physical Review Letters, Vol. 89, Issue 22
Saturation of Gyrokinetic Turbulence through Damped Eigenmodes
journal, March 2011
- Hatch, D. R.; Terry, P. W.; Jenko, F.
- Physical Review Letters, Vol. 106, Issue 11
Scalings of Ion-Temperature-Gradient-Driven Anomalous Transport in Tokamaks
journal, July 1996
- Dimits, A. M.; Williams, T. J.; Byers, J. A.
- Physical Review Letters, Vol. 77, Issue 1
Advances in the simulation of toroidal gyro‐Landau fluid model turbulence
journal, June 1995
- Waltz, R. E.; Kerbel, G. D.; Milovich, J.
- Physics of Plasmas, Vol. 2, Issue 6
Understanding nonlinear saturation in zonal-flow-dominated ion temperature gradient turbulence
journal, March 2015
- Plunk, G. G.; Navarro, A. Bañón; Jenko, F.
- Plasma Physics and Controlled Fusion, Vol. 57, Issue 4
Zonal flows in plasma—a review
journal, April 2005
- Diamond, P. H.; Itoh, S-I; Itoh, K.
- Plasma Physics and Controlled Fusion, Vol. 47, Issue 5
Electron temperature gradient driven turbulence
journal, May 2000
- Jenko, F.; Dorland, W.; Kotschenreuther, M.
- Physics of Plasmas, Vol. 7, Issue 5
The first transport code simulations using the trapped gyro-Landau-fluid model
journal, May 2008
- Kinsey, J. E.; Staebler, G. M.; Waltz, R. E.
- Physics of Plasmas, Vol. 15, Issue 5
New Paradigm for Suppression of Gyrokinetic Turbulence by Velocity Shear
journal, January 2013
- Staebler, G. M.; Waltz, R. E.; Candy, J.
- Physical Review Letters, Vol. 110, Issue 5
Nonlinear Saturation of Trapped Electron Modes via Perpendicular Particle Diffusion
journal, January 2008
- Merz, F.; Jenko, F.
- Physical Review Letters, Vol. 100, Issue 3
Compatibility of internal transport barrier with steady-state operation in the high bootstrap fraction regime on DIII-D
journal, November 2015
- Garofalo, A. M.; Gong, X.; Grierson, B. A.
- Nuclear Fusion, Vol. 55, Issue 12
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
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
Resolving electron scale turbulence in spherical tokamaks with flow shear
journal, February 2011
- Guttenfelder, W.; Candy, J.
- Physics of Plasmas, Vol. 18, Issue 2
Cross-Scale Interactions between Electron and Ion Scale Turbulence in a Tokamak Plasma
journal, June 2015
- Maeyama, S.; Idomura, Y.; Watanabe, T. -H.
- Physical Review Letters, Vol. 114, Issue 25
Understanding nonlinear saturation in zonal-flow-dominated ion temperature gradient turbulence
text, January 2014
- Plunk, G. G.; Navarro, A. Bañón; Jenko, F.
- arXiv
Works referencing / citing this record:
Identifying microturbulence regimes in a TCV discharge making use of physical constraints on particle and heat fluxes
journal, January 2018
- Mariani, A.; Brunner, S.; Dominski, J.
- Physics of Plasmas, Vol. 25, Issue 1
Multi-scale transport in the DIII-D ITER baseline scenario with direct electron heating and projection to ITER
journal, February 2018
- Grierson, B. A.; Staebler, G. M.; Solomon, W. M.
- Physics of Plasmas, Vol. 25, Issue 2
Transport barriers in bootstrap-driven tokamaks
journal, May 2018
- Staebler, G. M.; Garofalo, A. M.; Pan, C.
- Physics of Plasmas, Vol. 25, Issue 5
A flux-balanced fluid model for collisional plasma edge turbulence: Model derivation and basic physical features
journal, October 2018
- Majda, Andrew J.; Qi, Di; Cerfon, Antoine J.
- Physics of Plasmas, Vol. 25, Issue 10
Predict-first experiments and modeling of perturbative cold pulses in the DIII-D tokamak
journal, June 2019
- Rodriguez-Fernandez, P.; White, A. E.; Howard, N. T.
- Physics of Plasmas, Vol. 26, Issue 6
Machine-learning assisted steady-state profile predictions using global optimization techniques
journal, October 2019
- Honda, M.; Narita, E.
- Physics of Plasmas, Vol. 26, Issue 10
VITALS: A Surrogate-Based Optimization Framework for the Accelerated Validation of Plasma Transport Codes
journal, February 2018
- Rodriguez-Fernandez, P.; White, A. E.; Creely, A. J.
- Fusion Science and Technology, Vol. 74, Issue 1-2
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
Internal transport barrier in tokamak and helical plasmas
journal, January 2018
- Ida, K.; Fujita, T.
- Plasma Physics and Controlled Fusion, Vol. 60, Issue 3
Impact of fast ions on density peaking in JET: fluid and gyrokinetic modeling
journal, May 2019
- Eriksson, F.; Oberparleiter, M.; Skyman, A.
- Plasma Physics and Controlled Fusion, Vol. 61, Issue 7
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
Interpretative and predictive modelling of Joint European Torus collisionality scans
journal, September 2019
- Eriksson, F.; Fransson, E.; Oberparleiter, M.
- Plasma Physics and Controlled Fusion, Vol. 61, Issue 11
Validation of gyrokinetic simulations of a National Spherical Torus eXperiment H-mode plasma and comparisons with a high- k scattering synthetic diagnostic
journal, October 2019
- Ruiz, J. Ruiz; Guttenfelder, W.; White, A. E.
- Plasma Physics and Controlled Fusion, Vol. 61, Issue 11
Exploring fusion-reactor physics with high-power electron cyclotron resonance heating on ASDEX Upgrade
journal, January 2020
- Stober, J.; Reisner, M.; Angioni, C.
- Plasma Physics and Controlled Fusion, Vol. 62, Issue 2
Progress and challenges in understanding core transport in tokamaks in support to ITER operations
journal, December 2019
- Mantica, P.; Angioni, C.; Bonanomi, N.
- Plasma Physics and Controlled Fusion, Vol. 62, Issue 1
Transport simulation of EAST long-pulse H-mode discharge with integrated modeling
journal, February 2018
- Wu, M. Q.; Li, G. Q.; Chen, J. L.
- Nuclear Fusion, Vol. 58, Issue 4
NSTX/NSTX-U theory, modeling and analysis results
journal, June 2019
- Kaye, S. M.; Battaglia, D. J.; Baver, D.
- Nuclear Fusion, Vol. 59, Issue 11
Initial transport and turbulence analysis and gyrokinetic simulation validation in NSTX-U L-mode plasmas
journal, April 2019
- Guttenfelder, W.; Kaye, S. M.; Kriete, D. M.
- Nuclear Fusion, Vol. 59, Issue 5
Perturbative transport modeling of cold-pulse dynamics in Alcator C-Mod Ohmic plasmas
journal, May 2019
- Rodriguez-Fernandez, P.; White, A. E.; Howard, N. T.
- Nuclear Fusion, Vol. 59, Issue 6
The role of the source versus the collisionality in predicting a reactor density profile as observed on ASDEX Upgrade discharges
journal, June 2019
- Fable, E.; Angioni, C.; Bobkov, V.
- Nuclear Fusion, Vol. 59, Issue 7
Role of fast ion pressure in the isotope effect in JET L-mode plasmas
journal, July 2019
- Bonanomi, N.; Casiraghi, I.; Mantica, P.
- Nuclear Fusion, Vol. 59, Issue 9
The local nature of the plasma response to cold pulses with electron and ion heating at ASDEX Upgrade
journal, August 2019
- Angioni, C.; Fable, E.; Ryter, F.
- Nuclear Fusion, Vol. 59, Issue 10
Shafranov shift bifurcation of turbulent transport in the high β p scenario on DIII-D
journal, September 2019
- McClenaghan, J.; Garofalo, A. M.; Staebler, G. M.
- Nuclear Fusion, Vol. 59, Issue 12
Predicting the rotation profile in ITER
journal, January 2020
- Chrystal, C.; Grierson, B. A.; Haskey, S. R.
- Nuclear Fusion, Vol. 60, Issue 3
On the very high energy confinement observed in super H-mode DIII-D experiments
journal, January 2020
- Ding, S.; Garofalo, A. M.; Knolker, M.
- Nuclear Fusion, Vol. 60, Issue 3
Interpretative and predictive modelling of Joint European Torus collisionality scans
text, January 2019
- Eriksson, F.; Fransson, E.; Oberparleiter, M.
- IOP Publishing
Exploring fusion-reactor physics with high-power electron cyclotron resonance heating on ASDEX Upgrade
text, January 2020
- Stober, Joerg; Reisner, Maximilian; Angioni, Clemente
- Karlsruhe
Tractable flux-driven temperature, density, and rotation profile evolution with the quasilinear gyrokinetic transport model QuaLiKiz
text, January 2017
- Citrin, J.; Bourdelle, C.; Casson, F. J.
- arXiv
A Flux-Balanced Fluid Model for Collisional Plasma Edge Turbulence: Model Derivation and Basic Physical Features
text, January 2018
- Majda, Andrew J.; Qi, Di; Cerfon, Antoine J.
- arXiv
Impact of fast ions on density peaking in JET: fluid and gyrokinetic modeling
text, January 2019
- Eriksson, F.; Oberparleiter, M.; Skyman, A.
- IOP Publishing