The Reynolds stress induced by weakly up-down asymmetric ion temperature gradient mode

Xie, T.; Zhang, Y. Z.; Mahajan, S. M.; Liu, Z. Y.; He, Hongda

doi:10.1063/1.4966241

Title: The Reynolds stress induced by weakly up-down asymmetric ion temperature gradient mode

Abstract

A weakly up-down asymmetric ion temperature gradient (ITG) mode (formed in the up-down symmetric equilibrium), localized in the bad curvature region, may contribute dominantly to the nonlinear Reynolds stress because its growth rate is higher than the competing modes: the strongly up-down asymmetric modes, and other modes peaked (poloidally) away from the outboard mid-plane. Based on the fluid ITG model, the parameterized analytic wave function is constructed in the two dimensional (2D) Fourier-ballooning representation, and numerically verified by making use of the finite difference methods. Analytic expressions for the poloidal Reynolds stresses, defined on a rational surface, are given for both the weakly and the strongly up-down asymmetric ITG modes. It is shown here that the poloidal stresses of both modes can be interpreted as a superposition of a monopole and a dipole structure. For comparison with the experiment, the stresses are calculated for L-mode discharge parameters on five machines. Analytic expressions for the total parallel Reynolds stresses (contributed from all rational surfaces) are also derived for both modes: they are also exhibited, graphically, using a Gaussian wave intensity model.

Authors:

^[1]; Zhang, Y. Z. ^[2]; Mahajan, S. M. ^[3]; Liu, Z. Y. ^[4]; He, Hongda ^[5]

Sichuan Univ. of Science and Engineering, Zigong, Sichuan (China). School of Science
Chinese Academy of Sciences (CAS), Hefei, Anhui (China). Center for Magnetic Fusion Theory
Univ. of Texas, Austin, TX (United States). Inst. for Fusion Studies
Univ. of Science and Technology of China, Hefei, Anhui (China). Dept. of Modern Physics
Southwestern Inst. of Physics, Chengdu, Sichuan (China)

Publication Date:: Mon Oct 31 00:00:00 EDT 2016

Research Org.:: Univ. of Texas, Austin, TX (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1535286

Alternate Identifier(s):: OSTI ID: 1330477

Grant/Contract Number:: FG02-04ER54742; FG02-04ER-54742

Resource Type:: Accepted Manuscript

Journal Name:: Physics of Plasmas

Additional Journal Information:: Journal Volume: 23; Journal Issue: 10; 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; physics

Citation Formats


                    Xie, T., Zhang, Y. Z., Mahajan, S. M., Liu, Z. Y., and He, Hongda. The Reynolds stress induced by weakly up-down asymmetric ion temperature gradient mode.  United States: N. p., 2016. 
Web.  doi:10.1063/1.4966241.

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                    Xie, T., Zhang, Y. Z., Mahajan, S. M., Liu, Z. Y., & He, Hongda. The Reynolds stress induced by weakly up-down asymmetric ion temperature gradient mode.  United States.  https://doi.org/10.1063/1.4966241

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                    Xie, T., Zhang, Y. Z., Mahajan, S. M., Liu, Z. Y., and He, Hongda. Mon .  
"The Reynolds stress induced by weakly up-down asymmetric ion temperature gradient mode".  United States.  https://doi.org/10.1063/1.4966241.  https://www.osti.gov/servlets/purl/1535286.

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@article{osti_1535286,

  title        = {The Reynolds stress induced by weakly up-down asymmetric ion temperature gradient mode},

  author       = {Xie, T. and Zhang, Y. Z. and Mahajan, S. M. and Liu, Z. Y. and He, Hongda},

  abstractNote = {A weakly up-down asymmetric ion temperature gradient (ITG) mode (formed in the up-down symmetric equilibrium), localized in the bad curvature region, may contribute dominantly to the nonlinear Reynolds stress because its growth rate is higher than the competing modes: the strongly up-down asymmetric modes, and other modes peaked (poloidally) away from the outboard mid-plane. Based on the fluid ITG model, the parameterized analytic wave function is constructed in the two dimensional (2D) Fourier-ballooning representation, and numerically verified by making use of the finite difference methods. Analytic expressions for the poloidal Reynolds stresses, defined on a rational surface, are given for both the weakly and the strongly up-down asymmetric ITG modes. It is shown here that the poloidal stresses of both modes can be interpreted as a superposition of a monopole and a dipole structure. For comparison with the experiment, the stresses are calculated for L-mode discharge parameters on five machines. Analytic expressions for the total parallel Reynolds stresses (contributed from all rational surfaces) are also derived for both modes: they are also exhibited, graphically, using a Gaussian wave intensity model.},

  doi          = {10.1063/1.4966241},

  journal      = {Physics of Plasmas},

  number       = 10,

  volume       = 23,

  place        = {United States},

  year         = {Mon Oct 31 00:00:00 EDT 2016},

  month        = {Mon Oct 31 00:00:00 EDT 2016}

}

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Works referenced in this record:

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Ballooning theory of the second kind—two dimensional tokamak modes
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Xie, T.; Zhang, Y. Z.; Mahajan, S. M.
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The unified ballooning theory with weak up-down asymmetric mode structure and the numerical studies
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Works referencing / citing this record:

A theory of self-organized zonal flow with fine radial structure in tokamak
journal, December 2017

Zhang, Y. Z.; Liu, Z. Y.; Xie, T.
Physics of Plasmas, Vol. 24, Issue 12
DOI: 10.1063/1.4995302

The two-dimensional kinetic ballooning theory for trapped electron mode in tokamak
journal, February 2019

Xie, T.; Zhang, Y. Z.; Mahajan, S. M.
Physics of Plasmas, Vol. 26, Issue 2
DOI: 10.1063/1.5048538

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Title: The Reynolds stress induced by weakly up-down asymmetric ion temperature gradient mode

Abstract

Citation Formats

Multichannel Scattering Studies of the Spectra and Spatial Distribution of Tokamak Microturbulence journal, February 1985

Role of symmetry-breaking induced by E r × B shear flows on developing residual stresses and intrinsic rotation in the TEXTOR tokamak journal, May 2013

Shear damping of drift waves in toroidal plasmas journal, March 1993

Two‐dimensional aspects of toroidal drift waves in the ballooning representation journal, September 1992

Trapped gyro-Landau-fluid transport modeling of DIII-D hybrid discharges journal, December 2010

Reynolds stress of localized toroidal modes journal, November 1995

Ion internal transport barrier in neutral beam heated plasmas on HL-2A journal, April 2016

High frequency magnetic fluctuations correlated with the inter-ELM pedestal evolution in ASDEX Upgrade journal, May 2016

Study of the L–I–H transition with a new dual gas puff imaging system in the EAST superconducting tokamak journal, December 2013

Structure of micro-instabilities in tokamak plasmas: Stiff transport or plasma eruptions? journal, January 2014

Ballooning theory of the second kind—two dimensional tokamak modes journal, July 2012

Using a local gyrokinetic code to study global ion temperature gradient modes in tokamaks journal, April 2015

Ion heat transport studies in JET journal, November 2011

On broken ballooning symmetry journal, July 1991

Inter-machine comparison of intrinsic toroidal rotation in tokamaks journal, October 2007

Microturbulence in DIII-D tokamak pedestal. I. Electrostatic instabilities journal, April 2014

Observations of rotation in JET plasmas with electron heating by ion cyclotron resonance heating journal, June 2012

Observations of core toroidal rotation reversals in Alcator C-Mod ohmic L-mode plasmas journal, June 2011

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

The unified ballooning theory with weak up-down asymmetric mode structure and the numerical studies journal, April 2016

Electron profile stiffness and critical gradient studies journal, August 2012

Structure of Micro-instabilities in Tokamak Plasmas: Stiff Transport or Plasma Eruptions? text, January 2014

A theory of self-organized zonal flow with fine radial structure in tokamak journal, December 2017

The two-dimensional kinetic ballooning theory for trapped electron mode in tokamak journal, February 2019

Multichannel Scattering Studies of the Spectra and Spatial Distribution of Tokamak Microturbulence
journal, February 1985

Role of symmetry-breaking induced by E _r × B shear flows on developing residual stresses and intrinsic rotation in the TEXTOR tokamak
journal, May 2013

Shear damping of drift waves in toroidal plasmas
journal, March 1993

Two‐dimensional aspects of toroidal drift waves in the ballooning representation
journal, September 1992

Trapped gyro-Landau-fluid transport modeling of DIII-D hybrid discharges
journal, December 2010

Reynolds stress of localized toroidal modes
journal, November 1995

Ion internal transport barrier in neutral beam heated plasmas on HL-2A
journal, April 2016

High frequency magnetic fluctuations correlated with the inter-ELM pedestal evolution in ASDEX Upgrade
journal, May 2016

Study of the L–I–H transition with a new dual gas puff imaging system in the EAST superconducting tokamak
journal, December 2013

Structure of micro-instabilities in tokamak plasmas: Stiff transport or plasma eruptions?
journal, January 2014

Ballooning theory of the second kind—two dimensional tokamak modes
journal, July 2012

Using a local gyrokinetic code to study global ion temperature gradient modes in tokamaks
journal, April 2015

Ion heat transport studies in JET
journal, November 2011

On broken ballooning symmetry
journal, July 1991

Inter-machine comparison of intrinsic toroidal rotation in tokamaks
journal, October 2007

Microturbulence in DIII-D tokamak pedestal. I. Electrostatic instabilities
journal, April 2014

Observations of rotation in JET plasmas with electron heating by ion cyclotron resonance heating
journal, June 2012

Observations of core toroidal rotation reversals in Alcator C-Mod ohmic L-mode plasmas
journal, June 2011

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

The unified ballooning theory with weak up-down asymmetric mode structure and the numerical studies
journal, April 2016

Electron profile stiffness and critical gradient studies
journal, August 2012

Structure of Micro-instabilities in Tokamak Plasmas: Stiff Transport or Plasma Eruptions?
text, January 2014

A theory of self-organized zonal flow with fine radial structure in tokamak
journal, December 2017

The two-dimensional kinetic ballooning theory for trapped electron mode in tokamak
journal, February 2019