Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in National Spherical Torus Experiment

Guttenfelder, W.; Kaye, S. M.; Ren, Y.; Solomon, W.; Bell, R. E.; Candy, J.; Gerhardt, S. P.; LeBlanc, B. P.; Yuh, H.

doi:10.1063/1.4948791

Title: Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in National Spherical Torus Experiment

Journal Article · Wed May 11 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4948791· OSTI ID:1254753

^[1]; Kaye, S. M. ^[1];

^[1]; Solomon, W. ^[1]; Bell, R. E. ^[1]; Candy, J. ^[2];

^[1]; LeBlanc, B. P. ^[1]; Yuh, H. ^[3]

Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
General Atomics, San Diego, CA (United States)
Nova Photonics Inc., Princeton, NJ (United States)

This paper presents quasi-linear gyrokinetic predictions of the Coriolis momentum pinch for low aspect-ratio National Spherical Torus Experiment (NSTX) H-modes where previous experimental measurements were focused. Local, linear calculations predict that in the region of interest (just outside the mid-radius) of these relatively high-beta plasmas, profiles are most unstable to microtearing modes that are only effective in transporting electron energy. However, sub-dominant electromagnetic and electrostaticballooning modes are also unstable, which are effective at transporting energy, particles, and momentum. The quasi-linear prediction of transport from these weaker ballooning modes, assuming they contribute transport in addition to that from microtearing modes in a nonlinear turbulent state, leads to a very small or outward convection of momentum, inconsistent with the experimentally measured inward pinch, and opposite to predictions in conventional aspect ratio tokamaks. Additional predictions of a low beta L-mode plasma, unstable to more traditional electrostatic ion temperature gradient-trapped electron mode instability, show that the Coriolis pinch is inward but remains relatively weak and insensitive to many parameter variations. The weak or outward pinch predicted in NSTX plasmas appears to be at least partially correlated to changes in the parallel mode structure that occur at a finite beta and low aspect ratio, as discussed in previous theories. The only conditions identified where a stronger inward pinch is predicted occur either in the purely electrostatic limit or if the aspect ratio is increased. Lastly, as the Coriolis pinch cannot explain the measured momentum pinch, additional theoretical momentum transport mechanisms are discussed that may be potentially important.

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Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1254753

Alternate ID(s):: OSTI ID: 1252581

Report Number(s):: PPPL-5241; PHPAEN; TRN: US1601726

Journal Information:: Physics of Plasmas, Vol. 23, Issue 5; Related Information: The experimental data for this paper can be found at http://arks.princeton.edu/ark:/88435/dsp0137720g13x; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 2 works

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References (62)

Momentum and thermal transport in neutral-beam-heated tokamaks Mattor, N.; Diamond, P. H. Physics of Fluids, Vol. 31, Issue 5 https://doi.org/10.1063/1.866747	journal	January 1988
Turbulent equipartition theory of toroidal momentum pinch Hahm, T. S.; Diamond, P. H.; Gurcan, O. D. Physics of Plasmas, Vol. 15, Issue 5 https://doi.org/10.1063/1.2839293	journal	May 2008
Influence of centrifugal effects on particle and momentum transport in National Spherical Torus Experiment Buchholz, R.; Grosshauser, S.; Guttenfelder, W. Physics of Plasmas, Vol. 22, Issue 8 https://doi.org/10.1063/1.4928427	journal	August 2015
A unified method for operator evaluation in local Grad–Shafranov plasma equilibria Candy, J. Plasma Physics and Controlled Fusion, Vol. 51, Issue 10 https://doi.org/10.1088/0741-3335/51/10/105009	journal	September 2009
Ubiquity of non-diffusive momentum transport in JET H-modes Weisen, H.; Camenen, Y.; Salmi, A. Nuclear Fusion, Vol. 52, Issue 11 https://doi.org/10.1088/0029-5515/52/11/114024	journal	October 2012
An Eulerian gyrokinetic-Maxwell solver Candy, J.; Waltz, R. E. Journal of Computational Physics, Vol. 186, Issue 2 https://doi.org/10.1016/S0021-9991(03)00079-2	journal	April 2003
Overview of toroidal momentum transport Peeters, A. G.; Angioni, C.; Bortolon, A. Nuclear Fusion, Vol. 51, Issue 9 https://doi.org/10.1088/0029-5515/51/9/094027	journal	August 2011
Resistive Wall Mode Instability at Intermediate Plasma Rotation Berkery, J. W.; Sabbagh, S. A.; Betti, R. Physical Review Letters, Vol. 104, Issue 3 https://doi.org/10.1103/PhysRevLett.104.035003	journal	January 2010
Multi-channel transport experiments at Alcator C-Mod and comparison with gyrokinetic simulations White, A. E.; Howard, N. T.; Greenwald, M. Physics of Plasmas, Vol. 20, Issue 5 https://doi.org/10.1063/1.4803089	journal	May 2013
Parametric dependences of momentum pinch and Prandtl number in JET Tala, T.; Salmi, A.; Angioni, C. Nuclear Fusion, Vol. 51, Issue 12 https://doi.org/10.1088/0029-5515/51/12/123002	journal	November 2011
Core transport of lithium and carbon in ELM-free discharges with lithium wall conditioning in NSTX Scotti, F.; Soukhanovskii, V. A.; Bell, R. E. Nuclear Fusion, Vol. 53, Issue 8 https://doi.org/10.1088/0029-5515/53/8/083001	journal	July 2013
Gyrokinetic study of electromagnetic effects on toroidal momentum transport in tokamak plasmas Hein, T.; Angioni, C.; Fable, E. Physics of Plasmas, Vol. 18, Issue 7 https://doi.org/10.1063/1.3609841	journal	July 2011
Identification of the ubiquitous Coriolis momentum pinch in JET tokamak plasmas Weisen, H.; Camenen, Y.; Salmi, A. Nuclear Fusion, Vol. 52, Issue 4 https://doi.org/10.1088/0029-5515/52/4/042001	journal	March 2012
Fully electromagnetic gyrokinetic eigenmode analysis of high-beta shaped plasmas Belli, E. A.; Candy, J. Physics of Plasmas, Vol. 17, Issue 11 https://doi.org/10.1063/1.3495976	journal	November 2010
Measurement of poloidal velocity on the National Spherical Torus Experiment (invited) Bell, Ronald E.; Feder, Russell Review of Scientific Instruments, Vol. 81, Issue 10 https://doi.org/10.1063/1.3485027	journal	October 2010
Rotation and momentum transport in tokamaks and helical systems Ida, K.; Rice, J. E. Nuclear Fusion, Vol. 54, Issue 4 https://doi.org/10.1088/0029-5515/54/4/045001	journal	March 2014
Influence of the centrifugal force and parallel dynamics on the toroidal momentum transport due to small scale turbulence in a tokamak Peeters, A. G.; Strintzi, D.; Camenen, Y. Physics of Plasmas, Vol. 16, Issue 4 https://doi.org/10.1063/1.3097263	journal	April 2009
Microinstability properties of small‐aspect‐ratio tokamaks Rewoldt, G.; Tang, W. M.; Kaye, S. Physics of Plasmas, Vol. 3, Issue 5 https://doi.org/10.1063/1.871686	journal	May 1996
Consequences of profile shearing on toroidal momentum transport Camenen, Y.; Idomura, Y.; Jolliet, S. Nuclear Fusion, Vol. 51, Issue 7 https://doi.org/10.1088/0029-5515/51/7/073039	journal	June 2011
Advances in global MHD mode stabilization research on NSTX Sabbagh, S. A.; Berkery, J. W.; Bell, R. E. Nuclear Fusion, Vol. 50, Issue 2 https://doi.org/10.1088/0029-5515/50/2/025020	journal	January 2010
Dependence of intrinsic rotation reversals on collisionality in MAST Hillesheim, J. C.; Parra, F. I.; Barnes, M. Nuclear Fusion, Vol. 55, Issue 3 https://doi.org/10.1088/0029-5515/55/3/032003	journal	February 2015
The dependence of H-mode energy confinement and transport on collisionality in NSTX Kaye, S. M.; Gerhardt, S.; Guttenfelder, W. Nuclear Fusion, Vol. 53, Issue 6 https://doi.org/10.1088/0029-5515/53/6/063005	journal	April 2013
Influence of sheared poloidal rotation on edge turbulence Biglari, H.; Diamond, P. H.; Terry, P. W. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 1 https://doi.org/10.1063/1.859529	journal	January 1990
Effects of E×B velocity shear and magnetic shear on turbulence and transport in magnetic confinement devices Burrell, K. H. Physics of Plasmas, Vol. 4, Issue 5 https://doi.org/10.1063/1.872367	journal	May 1997
Impurity transport studies in NSTX neutral beam heated H-mode plasmas Delgado-Aparicio, L.; Stutman, D.; Tritz, K. Nuclear Fusion, Vol. 49, Issue 8 https://doi.org/10.1088/0029-5515/49/8/085028	journal	July 2009
Anomalous parallel momentum transport due to E×B flow shear in a tokamak plasma Casson, F. J.; Peeters, A. G.; Camenen, Y. Physics of Plasmas, Vol. 16, Issue 9 https://doi.org/10.1063/1.3227650	journal	September 2009
Scaling of linear microtearing stability for a high collisionality National Spherical Torus Experiment discharge Guttenfelder, W.; Candy, J.; Kaye, S. M. Physics of Plasmas, Vol. 19, Issue 2 https://doi.org/10.1063/1.3685698	journal	February 2012
Electromagnetic Transport from Microtearing Mode Turbulence Guttenfelder, W.; Candy, J.; Kaye, S. M. Physical Review Letters, Vol. 106, Issue 15 https://doi.org/10.1103/PhysRevLett.106.155004	journal	April 2011
Particle and Momentum Transport in Tokamak Plasmas, the Complicated Path towards the Experimental Validation of the Theoretical Predictions of Transport in Fusion Plasmas Angioni, Clemente Plasma and Fusion Research, Vol. 8, Issue 0 https://doi.org/10.1585/pfr.8.2102032	journal	January 2013
Turbulent equipartition pinch of toroidal momentum in spherical torus Hahm, T. S.; Lee, J.; Wang, W. X. Nuclear Fusion, Vol. 54, Issue 12 https://doi.org/10.1088/0029-5515/54/12/123012	journal	November 2014
Linear gyrokinetic calculations of toroidal momentum transport in the presence of trapped electron modes in tokamak plasmas Kluy, N.; Angioni, C.; Camenen, Y. Physics of Plasmas, Vol. 16, Issue 12 https://doi.org/10.1063/1.3271411	journal	December 2009
Nonlinear gyrokinetic theory of toroidal momentum pinch Hahm, T. S.; Diamond, P. H.; Gurcan, O. D. Physics of Plasmas, Vol. 14, Issue 7 https://doi.org/10.1063/1.2743642	journal	July 2007
Turbulent transport of toroidal angular momentum in low flow gyrokinetics Parra, Felix I.; Catto, Peter J. Plasma Physics and Controlled Fusion, Vol. 52, Issue 4 https://doi.org/10.1088/0741-3335/52/4/045004	journal	March 2010
Progress in simulating turbulent electron thermal transport in NSTX Guttenfelder, W.; Peterson, J. L.; Candy, J. Nuclear Fusion, Vol. 53, Issue 9 https://doi.org/10.1088/0029-5515/53/9/093022	journal	August 2013
Reduced model prediction of electron temperature profiles in microtearing-dominated National Spherical Torus eXperiment plasmas Kaye, S. M.; Guttenfelder, W.; Bell, R. E. Physics of Plasmas, Vol. 21, Issue 8 https://doi.org/10.1063/1.4893135	journal	August 2014
Nonlinear gyrokinetic turbulence simulations of E×B shear quenching of transport Kinsey, J. E.; Waltz, R. E.; Candy, J. Physics of Plasmas, Vol. 12, Issue 6 https://doi.org/10.1063/1.1920327	journal	June 2005
Operation of the NSTX Thomson scattering system LeBlanc, B. P.; Bell, R. E.; Johnson, D. W. Review of Scientific Instruments, Vol. 74, Issue 3 https://doi.org/10.1063/1.1532763	journal	March 2003
Gyrokinetic simulation of momentum transport with residual stress from diamagnetic level velocity shears Waltz, R. E.; Staebler, G. M.; Solomon, W. M. Physics of Plasmas, Vol. 18, Issue 4 https://doi.org/10.1063/1.3579481	journal	April 2011
Intrinsic rotation driven by the electrostatic turbulence in up-down asymmetric toroidal plasmas Camenen, Y.; Peeters, A. G.; Angioni, C. Physics of Plasmas, Vol. 16, Issue 6 https://doi.org/10.1063/1.3138747	journal	June 2009
Residual parallel Reynolds stress due to turbulence intensity gradient in tokamak plasmas Gürcan, Ö. D.; Diamond, P. H.; Hennequin, P. Physics of Plasmas, Vol. 17, Issue 11 https://doi.org/10.1063/1.3503624	journal	November 2010
Momentum transport in electron-dominated NSTX spherical torus plasmas Kaye, S. M.; Solomon, W.; Bell, R. E. Nuclear Fusion, Vol. 49, Issue 4 https://doi.org/10.1088/0029-5515/49/4/045010	journal	March 2009
The influence of the self-consistent mode structure on the Coriolis pinch effect Peeters, A. G.; Angioni, C.; Camenen, Y. Physics of Plasmas, Vol. 16, Issue 6 https://doi.org/10.1063/1.3124133	journal	June 2009
Momentum transport studies from multi-machine comparisons Yoshida, M.; Kaye, S.; Rice, J. Nuclear Fusion, Vol. 52, Issue 12 https://doi.org/10.1088/0029-5515/52/12/123005	journal	November 2012
An overview of intrinsic torque and momentum transport bifurcations in toroidal plasmas Diamond, P. H.; Kosuga, Y.; Gürcan, Ö. D. Nuclear Fusion, Vol. 53, Issue 10 https://doi.org/10.1088/0029-5515/53/10/104019	journal	September 2013
Mechanisms for generating toroidal rotation in tokamaks without external momentum input Solomon, W. M.; Burrell, K. H.; Garofalo, A. M. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3328521	journal	May 2010
Toroidal gyro‐Landau fluid model turbulence simulations in a nonlinear ballooning mode representation with radial modes Waltz, R. E.; Kerbel, G. D.; Milovich, J. Physics of Plasmas, Vol. 1, Issue 7 https://doi.org/10.1063/1.870934	journal	July 1994
Confinement and local transport in the National Spherical Torus Experiment (NSTX) Kaye, S. M.; Levinton, F. M.; Stutman, D. Nuclear Fusion, Vol. 47, Issue 7 https://doi.org/10.1088/0029-5515/47/7/001	journal	June 2007
Impurity transport experiments and effects on MHD in the National Spherical Torus Experiment (NSTX) Delgado-Aparicio, L.; Stutman, D.; Tritz, K. Nuclear Fusion, Vol. 51, Issue 8 https://doi.org/10.1088/0029-5515/51/8/083047	journal	July 2011
Anomalous momentum transport from drift wave turbulence Dominguez, R. R.; Staebler, G. M. Physics of Fluids B: Plasma Physics, Vol. 5, Issue 11 https://doi.org/10.1063/1.860610	journal	November 1993
Parallel magnetic field perturbations in gyrokinetic simulations Joiner, N.; Hirose, A.; Dorland, W. Physics of Plasmas, Vol. 17, Issue 7 https://doi.org/10.1063/1.3432117	journal	July 2010
Electron-scale turbulence spectra and plasma thermal transport responding to continuous E × B shear ramp-up in a spherical tokamak Ren, Y.; Guttenfelder, W.; Kaye, S. M. Nuclear Fusion, Vol. 53, Issue 8 https://doi.org/10.1088/0029-5515/53/8/083007	journal	July 2013
Stabilization of external modes in tokamaks by resistive walls and plasma rotation Bondeson, A.; Ward, D. J. Physical Review Letters, Vol. 72, Issue 17 https://doi.org/10.1103/PhysRevLett.72.2709	journal	April 1994
The motional Stark effect diagnostic on NSTX Levinton, F. M.; Yuh, H. Review of Scientific Instruments, Vol. 79, Issue 10 https://doi.org/10.1063/1.2968699	journal	October 2008
Simulation of microtearing turbulence in national spherical torus experiment Guttenfelder, W.; Candy, J.; Kaye, S. M. Physics of Plasmas, Vol. 19, Issue 5 https://doi.org/10.1063/1.3694104	journal	May 2012
Parallel velocity shear instabilities in an inhomogeneous plasma with a sheared magnetic field Catto, Peter J. Physics of Fluids, Vol. 16, Issue 10 https://doi.org/10.1063/1.1694200	journal	January 1973
Noncircular, finite aspect ratio, local equilibrium model Miller, R. L.; Chu, M. S.; Greene, J. M. Physics of Plasmas, Vol. 5, Issue 4 https://doi.org/10.1063/1.872666	journal	April 1998
Suppression of turbulence and transport by sheared flow Terry, P. W. Reviews of Modern Physics, Vol. 72, Issue 1 https://doi.org/10.1103/RevModPhys.72.109	journal	January 2000
Gyrokinetic prediction of microtearing turbulence in standard tokamaks Doerk, H.; Jenko, F.; Görler, T. Physics of Plasmas, Vol. 19, Issue 5 https://doi.org/10.1063/1.3694663	journal	May 2012
Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in NSTX Guttenfelder, W.; Kaye, S.; Ren, Y. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States) https://doi.org/10.11578/1366495	dataset	January 2016
Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in NSTX Guttenfelder, W.; Kaye, S.; Ren, Y. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States) https://doi.org/10.11578/1562029	dataset	January 2016
Turbulent transport of toroidal angular momentum in low flow gyrokinetics Parra, Felix I.; Catto, Peter J. Plasma Physics and Controlled Fusion, Vol. 52, Issue 5 https://doi.org/10.1088/0741-3335/52/5/059801	journal	March 2010
Dependence of intrinsic rotation reversals on collisionality in MAST Hillesheim, J. C.; Parra, F. I.; Barnes, M. arXiv https://doi.org/10.48550/arxiv.1407.2121	text	January 2014

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Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in NSTX Guttenfelder, W.; Kaye, S.; Ren, Y. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States) https://doi.org/10.11578/1562029	dataset	January 2016
Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in NSTX Guttenfelder, W.; Kaye, S.; Ren, Y. Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States) https://doi.org/10.11578/1366495	dataset	January 2016

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Title: Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in National Spherical Torus Experiment

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