Effect of triangularity on ion-temperature-gradient-driven turbulence
Abstract
The linear and nonlinear properties of ion-temperature-gradient-driven turbulence with adiabatic electrons are modeled for axisymmetric configurations for a broad range of triangularities δ, both negative and positive. Peak linear growth rates decrease with negative δ but increase and shift toward a finite radial wavenumber kx with positive δ. The growth-rate spectrum broadens as a function of kx with negative δ and significantly narrows with positive δ. The effect of triangularity on linear instability properties can be explained through its impact on magnetic polarization and curvature. Nonlinear heat flux is weakly dependent on triangularity for |δ|≤0.5, decreasing significantly with extreme δ, regardless of sign. Zonal modes play an important role in nonlinear saturation in the configurations studied, and artificially suppressing zonal modes increased nonlinear heat flux by a factor of about four for negative δ, increasing with positive δ by almost a factor of 20. Proxies for zonal-flow damping and drive suggest that zonal flows are enhanced with increasing positive δ.
- Authors:
-
- Univ. of Wisconsin, Madison, WI (United States)
- Dutch Inst. for Fundamental Energy Research, Eindhoven (The Netherlands); Eindhoven Univ. of Technology (The Netherlands)
- Publication Date:
- Research Org.:
- Univ. of Wisconsin, Madison, WI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Fusion Energy Sciences (FES)
- OSTI Identifier:
- 1864836
- Alternate Identifier(s):
- OSTI ID: 1838214
- Grant/Contract Number:
- FG02-99ER54546; FG02-86ER53218; FG02-93ER54222; FG02-89ER53291; AR0001287; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 29; Journal Issue: 1; 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; Plasma confinement; Plasma flows; Tokamaks; Plasma instabilities; Gyrokinetic simulations
Citation Formats
Duff, J. M., Faber, B. J., Hegna, C. C., Pueschel, M. J., and Terry, P. W. Effect of triangularity on ion-temperature-gradient-driven turbulence. United States: N. p., 2022.
Web. doi:10.1063/5.0065585.
Duff, J. M., Faber, B. J., Hegna, C. C., Pueschel, M. J., & Terry, P. W. Effect of triangularity on ion-temperature-gradient-driven turbulence. United States. https://doi.org/10.1063/5.0065585
Duff, J. M., Faber, B. J., Hegna, C. C., Pueschel, M. J., and Terry, P. W. Tue .
"Effect of triangularity on ion-temperature-gradient-driven turbulence". United States. https://doi.org/10.1063/5.0065585. https://www.osti.gov/servlets/purl/1864836.
@article{osti_1864836,
title = {Effect of triangularity on ion-temperature-gradient-driven turbulence},
author = {Duff, J. M. and Faber, B. J. and Hegna, C. C. and Pueschel, M. J. and Terry, P. W.},
abstractNote = {The linear and nonlinear properties of ion-temperature-gradient-driven turbulence with adiabatic electrons are modeled for axisymmetric configurations for a broad range of triangularities δ, both negative and positive. Peak linear growth rates decrease with negative δ but increase and shift toward a finite radial wavenumber kx with positive δ. The growth-rate spectrum broadens as a function of kx with negative δ and significantly narrows with positive δ. The effect of triangularity on linear instability properties can be explained through its impact on magnetic polarization and curvature. Nonlinear heat flux is weakly dependent on triangularity for |δ|≤0.5, decreasing significantly with extreme δ, regardless of sign. Zonal modes play an important role in nonlinear saturation in the configurations studied, and artificially suppressing zonal modes increased nonlinear heat flux by a factor of about four for negative δ, increasing with positive δ by almost a factor of 20. Proxies for zonal-flow damping and drive suggest that zonal flows are enhanced with increasing positive δ.},
doi = {10.1063/5.0065585},
journal = {Physics of Plasmas},
number = 1,
volume = 29,
place = {United States},
year = {Tue Jan 04 00:00:00 EST 2022},
month = {Tue Jan 04 00:00:00 EST 2022}
}
Works referenced in this record:
The effect of plasma triangularity on turbulent transport: modeling TCV experiments by linear and non-linear gyrokinetic simulations
journal, March 2009
- Marinoni, A.; Brunner, S.; Camenen, Y.
- Plasma Physics and Controlled Fusion, Vol. 51, Issue 5
Effects of plasma shaping on nonlinear gyrokinetic turbulence
journal, September 2008
- Belli, E. A.; Hammett, G. W.; Dorland, W.
- Physics of Plasmas, Vol. 15, Issue 9
Effect of plasma shape on confinement and MHD behaviour in the TCV tokamak
journal, December 1997
- Weisen, H.; Moret, J. -M; Franke, S.
- Nuclear Fusion, Vol. 37, Issue 12
Stellarator Turbulence: Subdominant Eigenmodes and Quasilinear Modeling
journal, February 2016
- Pueschel, M. J.; Faber, B. J.; Citrin, J.
- Physical Review Letters, Vol. 116, Issue 8
Mode-space energy distribution in instability-driven plasma turbulence
journal, December 2014
- Terry, P. W.; Makwana, K. D.; Pueschel, M. J.
- Physics of Plasmas, Vol. 21, Issue 12
Achievement of Reactor-Relevant Performance in Negative Triangularity Shape in the DIII-D Tokamak
journal, March 2019
- Austin, M. E.; Marinoni, A.; Walker, M. L.
- Physical Review Letters, Vol. 122, Issue 11
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
Streamer Formation in Plasma with a Temperature Gradient
journal, November 1988
- Drake, J. F.; Guzdar, P. N.; Hassam, A. B.
- Physical Review Letters, Vol. 61, Issue 19
Threshold Heat-Flux Reduction by Near-Resonant Energy Transfer
journal, January 2021
- Terry, P. W.; Li, P. -Y.; Pueschel, M. J.
- Physical Review Letters, Vol. 126, Issue 2
Turbulent transport in TCV plasmas with positive and negative triangularity
journal, October 2019
- Merlo, G.; Fontana, M.; Coda, S.
- Physics of Plasmas, Vol. 26, Issue 10
Validating a quasi-linear transport model versus nonlinear simulations
journal, July 2009
- Casati, A.; Bourdelle, C.; Garbet, X.
- Nuclear Fusion, Vol. 49, Issue 8
Electron temperature gradient driven turbulence
journal, May 2000
- Jenko, F.; Dorland, W.; Kotschenreuther, M.
- Physics of Plasmas, Vol. 7, Issue 5
Predicting the critical gradient of ITG turbulence in fusion plasmas
journal, April 2021
- Pueschel, M. J.; Li, P. -Y.; Terry, P. W.
- Nuclear Fusion, Vol. 61, Issue 5
Transport properties of finite-β microturbulence
journal, June 2010
- Pueschel, M. J.; Jenko, F.
- Physics of Plasmas, Vol. 17, Issue 6
A comparison of drift wave stability in stellarator and tokamak geometry
journal, May 2002
- Anderson, J.; Rafiq, T.; Nadeem, M.
- Physics of Plasmas, Vol. 9, Issue 5
Local three-dimensional magnetostatic equilibria
journal, January 2000
- Hegna, C. C.
- Physics of Plasmas, Vol. 7, Issue 10
Shear, Periodicity, and Plasma Ballooning Modes
journal, February 1978
- Connor, J. W.; Hastie, R. J.; Taylor, J. B.
- Physical Review Letters, Vol. 40, Issue 6
Role of stable eigenmodes in gyrokinetic models of ion temperature gradient turbulence
journal, February 2009
- Hatch, D. R.; Terry, P. W.; Nevins, W. M.
- Physics of Plasmas, Vol. 16, Issue 2
Investigating profile stiffness and critical gradients in shaped TCV discharges using local gyrokinetic simulations of turbulent transport
journal, April 2015
- Merlo, G.; Brunner, S.; Sauter, O.
- Plasma Physics and Controlled Fusion, Vol. 57, Issue 5
Drift waves and transport
journal, April 1999
- Horton, W.
- Reviews of Modern Physics, Vol. 71, Issue 3
Residual zonal flows in tokamaks and stellarators at arbitrary wavelengths
journal, February 2016
- Monreal, Pedro; Calvo, Iván; Sánchez, Edilberto
- Plasma Physics and Controlled Fusion, Vol. 58, 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
Ion temperature gradient turbulence simulations and plasma flux surface shape
journal, November 1999
- Waltz, R. E.; Miller, R. L.
- Physics of Plasmas, Vol. 6, Issue 11
Developments in the gyrofluid approach to Tokamak turbulence simulations
journal, August 1993
- Hammett, G. W.; Beer, M. A.; Dorland, W.
- Plasma Physics and Controlled Fusion, Vol. 35, Issue 8
On the role of numerical dissipation in gyrokinetic Vlasov simulations of plasma microturbulence
journal, August 2010
- Pueschel, M. J.; Dannert, T.; Jenko, F.
- Computer Physics Communications, Vol. 181, Issue 8
Nonlinear Electromagnetic Stabilization of Plasma Microturbulence
journal, April 2018
- Whelan, G. G.; Pueschel, M. J.; Terry, P. W.
- Physical Review Letters, Vol. 120, Issue 17
On microinstabilities and turbulence in steep-gradient regions of fusion devices
journal, February 2019
- Pueschel, M. J.; Hatch, D. R.; Ernst, D. R.
- Plasma Physics and Controlled Fusion, Vol. 61, Issue 3
Ballooning mode spectrum in general toroidal systems
journal, January 1983
- Dewar, R. L.
- Physics of Fluids, Vol. 26, Issue 10
The effect of plasma shaping on turbulent transport and E×B shear quenching in nonlinear gyrokinetic simulations
journal, October 2007
- Kinsey, J. E.; Waltz, R. E.; Candy, J.
- Physics of Plasmas, Vol. 14, Issue 10
Recent TCV Results - Innovative Plasma Shaping to Improve Plasma Properties and Insight
journal, January 2012
- Pochelon, Antoine; Angelino, Paolo; Behn, Roland
- Plasma and Fusion Research, Vol. 7, Issue 0
Toroidal semicollisional microinstabilities and anomalous electron and ion transport
journal, April 1990
- Romanelli, F.; Briguglio, S.
- Physics of Fluids B: Plasma Physics, Vol. 2, Issue 4
Massively parallel Vlasov simulation of electromagnetic drift-wave turbulence
journal, March 2000
- Jenko, Frank
- Computer Physics Communications, Vol. 125, Issue 1-3
Influence of Plasma Shape on Transport in the TCV Tokamak
journal, September 1997
- Moret, J. -M.; Franke, S.; Weisen, H.
- Physical Review Letters, Vol. 79, Issue 11
Optimisation of confinement in a fusion reactor using a nonlinear turbulence model
journal, April 2018
- Highcock, E. G.; Mandell, N. R.; Barnes, M.
- Journal of Plasma Physics, Vol. 84, Issue 2
Nonlocal effects in negative triangularity TCV plasmas
journal, March 2021
- Merlo, G.; Huang, Z.; Marini, C.
- Plasma Physics and Controlled Fusion, Vol. 63, Issue 4
Simulation of ion temperature gradient turbulence in tokamaks
journal, March 2000
- Dimits, A. M.; Cohen, B. I.; Mattor, N.
- Nuclear Fusion, Vol. 40, Issue 3Y
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
Poloidal Flow Driven by Ion-Temperature-Gradient Turbulence in Tokamaks
journal, January 1998
- Rosenbluth, M. N.; Hinton, F. L.
- Physical Review Letters, Vol. 80, Issue 4
Flux-surface shaping effects on tokamak edge turbulence and flows
journal, January 2006
- Kendl, Alexander; Scott, Bruce D.
- Physics of Plasmas, Vol. 13, Issue 1
Gyrokinetic turbulence simulations at high plasma beta
journal, October 2008
- Pueschel, M. J.; Kammerer, M.; Jenko, F.
- Physics of Plasmas, Vol. 15, Issue 10
Foundations of nonlinear gyrokinetic theory
journal, April 2007
- Brizard, A. J.; Hahm, T. S.
- Reviews of Modern Physics, Vol. 79, Issue 2
Heat and particle transport in a tokamak: advances in nonlinear gyrokinetics
journal, November 2005
- Jenko, F.; Dannert, T.; Angioni, C.
- Plasma Physics and Controlled Fusion, Vol. 47, Issue 12B
Toroidal drift modes driven by ion pressure gradients
journal, January 1981
- Horton, Wendell
- Physics of Fluids, Vol. 24, Issue 6
Energy confinement and MHD activity in shaped TCV plasmas with localized electron cyclotron heating
journal, November 1999
- Pochelon, A.; Goodman, T. P.; Henderson, M.
- Nuclear Fusion, Vol. 39, Issue 11Y
Gyrokinetic microinstabilities in ASDEX Upgrade edge plasmas
journal, October 2008
- Told, D.; Jenko, F.; Xanthopoulos, P.
- Physics of Plasmas, Vol. 15, Issue 10
Impact of plasma triangularity and collisionality on electron heat transport in TCV L-mode plasmas
journal, June 2007
- Camenen, Y.; Pochelon, A.; Behn, R.
- Nuclear Fusion, Vol. 47, Issue 7
Saturation and nonlinear electromagnetic stabilization of ITG turbulence
journal, August 2019
- Whelan, G. G.; Pueschel, M. J.; Terry, P. W.
- Physics of Plasmas, Vol. 26, Issue 8
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
Measurements of microturbulence in tokamaks and comparisons with theories of turbulence and anomalous transport
journal, May 1985
- Liewer, Paulett C.
- Nuclear Fusion, Vol. 25, Issue 5
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
H-mode grade confinement in L-mode edge plasmas at negative triangularity on DIII-D
journal, April 2019
- Marinoni, A.; Austin, M. E.; Hyatt, A. W.
- Physics of Plasmas, Vol. 26, Issue 4
Role of subdominant stable modes in plasma microturbulence
journal, May 2011
- Hatch, D. R.; Terry, P. W.; Jenko, F.
- Physics of Plasmas, Vol. 18, Issue 5
The effect of triangularity on fluctuations in a tokamak plasma
journal, December 2017
- Fontana, M.; Porte, L.; Coda, S.
- Nuclear Fusion, Vol. 58, Issue 2
Noncircular, finite aspect ratio, local equilibrium model
journal, April 1998
- Miller, R. L.; Chu, M. S.; Greene, J. M.
- Physics of Plasmas, Vol. 5, Issue 4
Role of Plasma Elongation on Turbulent Transport in Magnetically Confined Plasmas
journal, May 2009
- Angelino, P.; Garbet, X.; Villard, L.
- Physical Review Letters, Vol. 102, Issue 19
Suppression of turbulence and transport by sheared flow
journal, January 2000
- Terry, P. W.
- Reviews of Modern Physics, Vol. 72, Issue 1
Impact of shaping on microstability in high-performance tokamak plasmas
journal, May 2021
- Beeke, O.; Barnes, M.; Romanelli, M.
- Nuclear Fusion, Vol. 61, Issue 6
A gyro-Landau-fluid transport model
journal, July 1997
- Waltz, R. E.; Staebler, G. M.; Dorland, W.
- Physics of Plasmas, Vol. 4, Issue 7
DIII-D Research to Prepare for Steady State Advanced Tokamak Power Plants
journal, September 2018
- Buttery, R. J.; Covele, B.; Ferron, J.
- Journal of Fusion Energy, Vol. 38, Issue 1
Role of stable modes in zonal flow regulated turbulence
journal, June 2012
- Makwana, K. D.; Terry, P. W.; Kim, J. -H.
- Physics of Plasmas, Vol. 19, Issue 6
Trapped particles in toroidal magnetic systems
journal, January 1971
- Kadomtsev, B. B.; Pogutse, O. P.
- Nuclear Fusion, Vol. 11, Issue 1
Theory of ITG turbulent saturation in stellarators: Identifying mechanisms to reduce turbulent transport
journal, February 2018
- Hegna, C. C.; Terry, P. W.; Faber, B. J.
- Physics of Plasmas, Vol. 25, Issue 2
Plasma shaping effects on the collisionless residual zonal flow level
journal, August 2006
- Xiao, Yong; Catto, Peter J.
- Physics of Plasmas, Vol. 13, Issue 8