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

Abstract

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, asmore » 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.« less

Authors:
ORCiD logo [1];  [1]; ORCiD logo [1];  [1];  [1];  [2]; ORCiD logo [1];  [1];  [3]
  1. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  2. General Atomics, San Diego, CA (United States)
  3. Nova Photonics Inc., Princeton, NJ (United States)
Publication Date:
Research Org.:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1254753
Alternate Identifier(s):
OSTI ID: 1252581
Report Number(s):
PPPL-5241
Journal ID: ISSN 1070-664X; PHPAEN; TRN: US1601726
Grant/Contract Number:  
AC02-09CH11466
Resource Type:
Accepted Manuscript
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 23; Journal Issue: 5; Related Information: The experimental data for this paper can be found at http://arks.princeton.edu/ark:/88435/dsp0137720g13x; 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; spherical tokamak; tokamaks, NSTX; transport theory; H mode; ion temperature gradient mode; macroinstabilities; electrostatics; Coriolis effects

Citation Formats

Guttenfelder, W., Kaye, S. M., Ren, Y., Solomon, W., Bell, R. E., Candy, J., Gerhardt, S. P., LeBlanc, B. P., and Yuh, H. Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in National Spherical Torus Experiment. United States: N. p., 2016. Web. doi:10.1063/1.4948791.
Guttenfelder, W., Kaye, S. M., Ren, Y., Solomon, W., Bell, R. E., Candy, J., Gerhardt, S. P., LeBlanc, B. P., & Yuh, H. Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in National Spherical Torus Experiment. United States. https://doi.org/10.1063/1.4948791
Guttenfelder, W., Kaye, S. M., Ren, Y., Solomon, W., Bell, R. E., Candy, J., Gerhardt, S. P., LeBlanc, B. P., and Yuh, H. Wed . "Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in National Spherical Torus Experiment". United States. https://doi.org/10.1063/1.4948791. https://www.osti.gov/servlets/purl/1254753.
@article{osti_1254753,
title = {Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in National Spherical Torus Experiment},
author = {Guttenfelder, W. and Kaye, S. M. and Ren, Y. and Solomon, W. and Bell, R. E. and Candy, J. and Gerhardt, S. P. and LeBlanc, B. P. and Yuh, H.},
abstractNote = {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.},
doi = {10.1063/1.4948791},
journal = {Physics of Plasmas},
number = 5,
volume = 23,
place = {United States},
year = {Wed May 11 00:00:00 EDT 2016},
month = {Wed May 11 00:00:00 EDT 2016}
}

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Works referenced in this record:

Momentum and thermal transport in neutral-beam-heated tokamaks
journal, January 1988

  • Mattor, N.; Diamond, P. H.
  • Physics of Fluids, Vol. 31, Issue 5
  • DOI: 10.1063/1.866747

Turbulent equipartition theory of toroidal momentum pinch
journal, May 2008

  • Hahm, T. S.; Diamond, P. H.; Gurcan, O. D.
  • Physics of Plasmas, Vol. 15, Issue 5
  • DOI: 10.1063/1.2839293

Influence of centrifugal effects on particle and momentum transport in National Spherical Torus Experiment
journal, August 2015

  • Buchholz, R.; Grosshauser, S.; Guttenfelder, W.
  • Physics of Plasmas, Vol. 22, Issue 8
  • DOI: 10.1063/1.4928427

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


Ubiquity of non-diffusive momentum transport in JET H-modes
journal, October 2012


An Eulerian gyrokinetic-Maxwell solver
journal, April 2003


Overview of toroidal momentum transport
journal, August 2011


Resistive Wall Mode Instability at Intermediate Plasma Rotation
journal, January 2010


Multi-channel transport experiments at Alcator C-Mod and comparison with gyrokinetic simulations
journal, May 2013

  • White, A. E.; Howard, N. T.; Greenwald, M.
  • Physics of Plasmas, Vol. 20, Issue 5
  • DOI: 10.1063/1.4803089

Parametric dependences of momentum pinch and Prandtl number in JET
journal, November 2011


Core transport of lithium and carbon in ELM-free discharges with lithium wall conditioning in NSTX
journal, July 2013


Gyrokinetic study of electromagnetic effects on toroidal momentum transport in tokamak plasmas
journal, July 2011

  • Hein, T.; Angioni, C.; Fable, E.
  • Physics of Plasmas, Vol. 18, Issue 7
  • DOI: 10.1063/1.3609841

Identification of the ubiquitous Coriolis momentum pinch in JET tokamak plasmas
journal, March 2012


Fully electromagnetic gyrokinetic eigenmode analysis of high-beta shaped plasmas
journal, November 2010

  • Belli, E. A.; Candy, J.
  • Physics of Plasmas, Vol. 17, Issue 11
  • DOI: 10.1063/1.3495976

Measurement of poloidal velocity on the National Spherical Torus Experiment (invited)
journal, October 2010

  • Bell, Ronald E.; Feder, Russell
  • Review of Scientific Instruments, Vol. 81, Issue 10
  • DOI: 10.1063/1.3485027

Rotation and momentum transport in tokamaks and helical systems
journal, March 2014


Influence of the centrifugal force and parallel dynamics on the toroidal momentum transport due to small scale turbulence in a tokamak
journal, April 2009

  • Peeters, A. G.; Strintzi, D.; Camenen, Y.
  • Physics of Plasmas, Vol. 16, Issue 4
  • DOI: 10.1063/1.3097263

Microinstability properties of small‐aspect‐ratio tokamaks
journal, May 1996

  • Rewoldt, G.; Tang, W. M.; Kaye, S.
  • Physics of Plasmas, Vol. 3, Issue 5
  • DOI: 10.1063/1.871686

Consequences of profile shearing on toroidal momentum transport
journal, June 2011


Advances in global MHD mode stabilization research on NSTX
journal, January 2010


Dependence of intrinsic rotation reversals on collisionality in MAST
journal, February 2015


The dependence of H-mode energy confinement and transport on collisionality in NSTX
journal, April 2013


Influence of sheared poloidal rotation on edge turbulence
journal, January 1990

  • Biglari, H.; Diamond, P. H.; Terry, P. W.
  • Physics of Fluids B: Plasma Physics, Vol. 2, Issue 1
  • DOI: 10.1063/1.859529

Impurity transport studies in NSTX neutral beam heated H-mode plasmas
journal, July 2009


Anomalous parallel momentum transport due to E×B flow shear in a tokamak plasma
journal, September 2009

  • Casson, F. J.; Peeters, A. G.; Camenen, Y.
  • Physics of Plasmas, Vol. 16, Issue 9
  • DOI: 10.1063/1.3227650

Scaling of linear microtearing stability for a high collisionality National Spherical Torus Experiment discharge
journal, February 2012

  • Guttenfelder, W.; Candy, J.; Kaye, S. M.
  • Physics of Plasmas, Vol. 19, Issue 2
  • DOI: 10.1063/1.3685698

Electromagnetic Transport from Microtearing Mode Turbulence
journal, April 2011


Turbulent equipartition pinch of toroidal momentum in spherical torus
journal, November 2014


Linear gyrokinetic calculations of toroidal momentum transport in the presence of trapped electron modes in tokamak plasmas
journal, December 2009

  • Kluy, N.; Angioni, C.; Camenen, Y.
  • Physics of Plasmas, Vol. 16, Issue 12
  • DOI: 10.1063/1.3271411

Nonlinear gyrokinetic theory of toroidal momentum pinch
journal, July 2007

  • Hahm, T. S.; Diamond, P. H.; Gurcan, O. D.
  • Physics of Plasmas, Vol. 14, Issue 7
  • DOI: 10.1063/1.2743642

Turbulent transport of toroidal angular momentum in low flow gyrokinetics
journal, March 2010


Progress in simulating turbulent electron thermal transport in NSTX
journal, August 2013


Reduced model prediction of electron temperature profiles in microtearing-dominated National Spherical Torus eXperiment plasmas
journal, August 2014

  • Kaye, S. M.; Guttenfelder, W.; Bell, R. E.
  • Physics of Plasmas, Vol. 21, Issue 8
  • DOI: 10.1063/1.4893135

Nonlinear gyrokinetic turbulence simulations of E×B shear quenching of transport
journal, June 2005

  • Kinsey, J. E.; Waltz, R. E.; Candy, J.
  • Physics of Plasmas, Vol. 12, Issue 6
  • DOI: 10.1063/1.1920327

Operation of the NSTX Thomson scattering system
journal, March 2003

  • LeBlanc, B. P.; Bell, R. E.; Johnson, D. W.
  • Review of Scientific Instruments, Vol. 74, Issue 3
  • DOI: 10.1063/1.1532763

Gyrokinetic simulation of momentum transport with residual stress from diamagnetic level velocity shears
journal, April 2011

  • Waltz, R. E.; Staebler, G. M.; Solomon, W. M.
  • Physics of Plasmas, Vol. 18, Issue 4
  • DOI: 10.1063/1.3579481

Intrinsic rotation driven by the electrostatic turbulence in up-down asymmetric toroidal plasmas
journal, June 2009

  • Camenen, Y.; Peeters, A. G.; Angioni, C.
  • Physics of Plasmas, Vol. 16, Issue 6
  • DOI: 10.1063/1.3138747

Residual parallel Reynolds stress due to turbulence intensity gradient in tokamak plasmas
journal, November 2010

  • Gürcan, Ö. D.; Diamond, P. H.; Hennequin, P.
  • Physics of Plasmas, Vol. 17, Issue 11
  • DOI: 10.1063/1.3503624

Momentum transport in electron-dominated NSTX spherical torus plasmas
journal, March 2009


The influence of the self-consistent mode structure on the Coriolis pinch effect
journal, June 2009

  • Peeters, A. G.; Angioni, C.; Camenen, Y.
  • Physics of Plasmas, Vol. 16, Issue 6
  • DOI: 10.1063/1.3124133

Momentum transport studies from multi-machine comparisons
journal, November 2012


An overview of intrinsic torque and momentum transport bifurcations in toroidal plasmas
journal, September 2013


Mechanisms for generating toroidal rotation in tokamaks without external momentum input
journal, May 2010

  • Solomon, W. M.; Burrell, K. H.; Garofalo, A. M.
  • Physics of Plasmas, Vol. 17, Issue 5
  • DOI: 10.1063/1.3328521

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
  • DOI: 10.1063/1.870934

Confinement and local transport in the National Spherical Torus Experiment (NSTX)
journal, June 2007


Impurity transport experiments and effects on MHD in the National Spherical Torus Experiment (NSTX)
journal, July 2011


Anomalous momentum transport from drift wave turbulence
journal, November 1993

  • Dominguez, R. R.; Staebler, G. M.
  • Physics of Fluids B: Plasma Physics, Vol. 5, Issue 11
  • DOI: 10.1063/1.860610

Parallel magnetic field perturbations in gyrokinetic simulations
journal, July 2010

  • Joiner, N.; Hirose, A.; Dorland, W.
  • Physics of Plasmas, Vol. 17, Issue 7
  • DOI: 10.1063/1.3432117

Stabilization of external modes in tokamaks by resistive walls and plasma rotation
journal, April 1994


The motional Stark effect diagnostic on NSTX
journal, October 2008

  • Levinton, F. M.; Yuh, H.
  • Review of Scientific Instruments, Vol. 79, Issue 10
  • DOI: 10.1063/1.2968699

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

Parallel velocity shear instabilities in an inhomogeneous plasma with a sheared magnetic field
journal, January 1973


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
  • DOI: 10.1063/1.872666

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


Gyrokinetic prediction of microtearing turbulence in standard tokamaks
journal, May 2012

  • Doerk, H.; Jenko, F.; Görler, T.
  • Physics of Plasmas, Vol. 19, Issue 5
  • DOI: 10.1063/1.3694663

Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in NSTX
dataset, January 2016

  • Guttenfelder, W.; Kaye, S.; Ren, Y.
  • Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
  • DOI: 10.11578/1366495

Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in NSTX
dataset, January 2016

  • Guttenfelder, W.; Kaye, S.; Ren, Y.
  • Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
  • DOI: 10.11578/1366495

Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in NSTX
dataset, January 2016

  • Guttenfelder, W.; Kaye, S.; Ren, Y.
  • Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
  • DOI: 10.11578/1562029

Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in NSTX
dataset, January 2016

  • Guttenfelder, W.; Kaye, S.; Ren, Y.
  • Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
  • DOI: 10.11578/1562029

Turbulent transport of toroidal angular momentum in low flow gyrokinetics
journal, March 2010


Dependence of intrinsic rotation reversals on collisionality in MAST
text, January 2014


Works referencing / citing this record:

Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in NSTX
dataset, January 2016

  • Guttenfelder, W.; Kaye, S.; Ren, Y.
  • Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
  • DOI: 10.11578/1562029

Quasi-linear gyrokinetic predictions of the Coriolis momentum pinch in NSTX
dataset, January 2016

  • Guttenfelder, W.; Kaye, S.; Ren, Y.
  • Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
  • DOI: 10.11578/1366495