Spectral treatment of gyrokinetic profile curvature

Candy, J.; Belli, E. A.; Staebler, G.

doi:10.1088/1361-6587/ab759c

Title: Spectral treatment of gyrokinetic profile curvature

Abstract

Using a novel wavenumber-advection algorithm, we show that profile curvature (shear in the profile gradient) can be implemented with spectral accuracy in gyrokinetic turbulence simulations. Here, this approach enables a global simulation capability with the relatively low cost and high accuracy of local simulations. Using this new algorithm, we show that for a well-studied tokamak core test case, the effect of temperature-gradient curvature is below the threshold of detectability for experimentally-relevant values of curvature.

Authors:

^[1]; Belli, E. A. ^[1];

^[1]

General Atomics, San Diego, CA (United States)

Publication Date:: 2020-02-26

Research Org.:: General Atomics, San Diego, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Fusion Energy Sciences (FES)

OSTI Identifier:: 1740022

Grant/Contract Number:: FC02-06ER54873; FG02-95ER54309; AC05-00OR22725

Resource Type:: Accepted Manuscript

Journal Name:: Plasma Physics and Controlled Fusion

Additional Journal Information:: Journal Volume: 62; Journal Issue: 4; Journal ID: ISSN 0741-3335

Publisher:: IOP Science

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Gyrokinetic; turbulence; shear; global; spectral

Citation Formats


                    Candy, J., Belli, E. A., and Staebler, G.. Spectral treatment of gyrokinetic profile curvature.  United States: N. p., 2020. 
Web.  doi:10.1088/1361-6587/ab759c.

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                    Candy, J., Belli, E. A., & Staebler, G.. Spectral treatment of gyrokinetic profile curvature.  United States.  https://doi.org/10.1088/1361-6587/ab759c

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                    Candy, J., Belli, E. A., and Staebler, G.. Wed .  
"Spectral treatment of gyrokinetic profile curvature".  United States.  https://doi.org/10.1088/1361-6587/ab759c.  https://www.osti.gov/servlets/purl/1740022.

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@article{osti_1740022,

  title        = {Spectral treatment of gyrokinetic profile curvature},

  author       = {Candy, J. and Belli, E. A. and Staebler, G.},

  abstractNote = {Using a novel wavenumber-advection algorithm, we show that profile curvature (shear in the profile gradient) can be implemented with spectral accuracy in gyrokinetic turbulence simulations. Here, this approach enables a global simulation capability with the relatively low cost and high accuracy of local simulations. Using this new algorithm, we show that for a well-studied tokamak core test case, the effect of temperature-gradient curvature is below the threshold of detectability for experimentally-relevant values of curvature.},

  doi          = {10.1088/1361-6587/ab759c},

  journal      = {Plasma Physics and Controlled Fusion},

  number       = 4,

  volume       = 62,

  place        = {United States},

  year         = {2020},

  month        = {2}

}

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Works referenced in this record:

Impact of centrifugal drifts on ion turbulent transport
journal, March 2018

Belli, E. A.; Candy, J.
Physics of Plasmas, Vol. 25, Issue 3
DOI: 10.1063/1.5020298

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

Candy, J.
Plasma Physics and Controlled Fusion, Vol. 51, Issue 10
DOI: 10.1088/0741-3335/51/10/105009

Exponentially accurate Runge-free approximation of non-periodic functions from samples on an evenly spaced grid
journal, September 2007

Boyd, John P.
Applied Mathematics Letters, Vol. 20, Issue 9
DOI: 10.1016/j.aml.2006.10.001

Linearized model collision operators for multiple ion species plasmas and gyrokinetic entropy balance equations
journal, November 2009

Sugama, H.; Watanabe, T. -H.; Nunami, M.
Physics of Plasmas, Vol. 16, Issue 11
DOI: 10.1063/1.3257907

An Eulerian gyrokinetic-Maxwell solver
journal, April 2003

Candy, J.; Waltz, R. E.
Journal of Computational Physics, Vol. 186, Issue 2
DOI: 10.1016/S0021-9991(03)00079-2

Tokamak profile prediction using direct gyrokinetic and neoclassical simulation
journal, June 2009

Candy, J.; Holland, C.; Waltz, R. E.
Physics of Plasmas, Vol. 16, Issue 6
DOI: 10.1063/1.3167820

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
DOI: 10.1103/PhysRevLett.77.71

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

Relevance of the parallel nonlinearity in gyrokinetic simulations of tokamak plasmas
journal, July 2006

Candy, J.; Waltz, R. E.; Parker, S. E.
Physics of Plasmas, Vol. 13, Issue 7
DOI: 10.1063/1.2220536

On the Fourier Extension of Nonperiodic Functions
journal, January 2010

Huybrechs, Daan
SIAM Journal on Numerical Analysis, Vol. 47, Issue 6
DOI: 10.1137/090752456

Long global gyrokinetic simulations: Source terms and particle noise control
journal, May 2008

McMillan, B. F.; Jolliet, S.; Tran, T. M.
Physics of Plasmas, Vol. 15, Issue 5
DOI: 10.1063/1.2921792

Transport processes and entropy production in toroidally rotating plasmas with electrostatic turbulence
journal, February 1997

Sugama, H.; Horton, W.
Physics of Plasmas, Vol. 4, Issue 2
DOI: 10.1063/1.872099

Global gyrokinetic simulations of intrinsic rotation in ASDEX Upgrade Ohmic L-mode plasmas
journal, March 2018

Hornsby, W. A.; Angioni, C.; Lu, Z. X.
Nuclear Fusion, Vol. 58, Issue 5
DOI: 10.1088/1741-4326/aab22f

Equilibrium of a Magnetically Confined Plasma in a Toroid
journal, January 1958

Kruskal, M. D.; Kulsrud, R. M.
Physics of Fluids, Vol. 1, Issue 4
DOI: 10.1063/1.1705884

A high-accuracy Eulerian gyrokinetic solver for collisional plasmas
journal, November 2016

Candy, J.; Belli, E. A.; Bravenec, R. V.
Journal of Computational Physics, Vol. 324
DOI: 10.1016/j.jcp.2016.07.039

Nonlinear quasisteady state benchmark of global gyrokinetic codes
journal, November 2010

Lapillonne, X.; McMillan, B. F.; Görler, T.
Physics of Plasmas, Vol. 17, Issue 11
DOI: 10.1063/1.3518118

Synergistic cross-scale coupling of turbulence in a tokamak plasma
journal, November 2014

Howard, N. T.; Holland, C.; White, A. E.
Physics of Plasmas, Vol. 21, Issue 11
DOI: 10.1063/1.4902366

Large-scale gyrokinetic turbulence simulations: Effects of profile variation
journal, May 1999

Parker, Scott E.; Kim, Charlson; Chen, Yang
Physics of Plasmas, Vol. 6, Issue 5
DOI: 10.1063/1.873429

Investigation of the transport shortfall in Alcator C-Mod L-mode plasmas
journal, March 2013

Howard, N. T.; White, A. E.; Greenwald, M.
Physics of Plasmas, Vol. 20, Issue 3
DOI: 10.1063/1.4795301

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

Gyrokinetic turbulence simulation of profile shear stabilization and broken gyroBohm scaling
journal, May 2002

Waltz, R. E.; Candy, J. M.; Rosenbluth, M. N.
Physics of Plasmas, Vol. 9, Issue 5
DOI: 10.1063/1.1448830

Electron Temperature Gradient Turbulence
journal, December 2000

Dorland, W.; Jenko, F.; Kotschenreuther, M.
Physical Review Letters, Vol. 85, Issue 26
DOI: 10.1103/PhysRevLett.85.5579

Gyrokinetic analysis of radial dependence and global effects on the zero particle flux condition in a TCV plasma
journal, May 2019

Mariani, A.; Brunner, S.; Merlo, G.
Plasma Physics and Controlled Fusion, Vol. 61, Issue 6
DOI: 10.1088/1361-6587/ab09bd

Stabilization of ballooning modes with sheared toroidal rotation
journal, October 1995

Miller, R. L.; Waelbroeck, F. L.; Hassam, A. B.
Physics of Plasmas, Vol. 2, Issue 10
DOI: 10.1063/1.871067

Neoclassical transport in toroidal plasmas with nonaxisymmetric flux surfaces
journal, April 2015

Belli, E. A.; Candy, J.
Plasma Physics and Controlled Fusion, Vol. 57, Issue 5
DOI: 10.1088/0741-3335/57/5/054012

Kinetic calculation of neoclassical transport including self-consistent electron and impurity dynamics
journal, July 2008

Belli, E. A.; Candy, J.
Plasma Physics and Controlled Fusion, Vol. 50, Issue 9
DOI: 10.1088/0741-3335/50/9/095010

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
DOI: 10.1063/1.873694

Neoclassical electron and ion transport in toroidally rotating plasmas
journal, June 1997

Sugama, H.; Horton, W.
Physics of Plasmas, Vol. 4, Issue 6
DOI: 10.1063/1.872385

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
DOI: 10.1103/PhysRevLett.110.055003

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

Comparisons and physics basis of tokamak transport models and turbulence simulations
journal, March 2000

Dimits, A. M.; Bateman, G.; Beer, M. A.
Physics of Plasmas, Vol. 7, Issue 3
DOI: 10.1063/1.873896

Gyrokinetic simulations in general geometry and applications to collisional damping of zonal flows
journal, May 2000

Lin, Z.; Hahm, T. S.; Lee, W. W.
Physics of Plasmas, Vol. 7, Issue 5
DOI: 10.1063/1.874008

The nonlinear gyro-kinetic flux tube code GKW
journal, December 2009

Peeters, A. G.; Camenen, Y.; Casson, F. J.
Computer Physics Communications, Vol. 180, Issue 12
DOI: 10.1016/j.cpc.2009.07.001

Spectral treatment of gyrokinetic shear flow
journal, March 2018

Candy, J.; Belli, E. A.
Journal of Computational Physics, Vol. 356
DOI: 10.1016/j.jcp.2017.12.020

Nonlinear electromagnetic gyrokinetic equation for plasmas with large mean flows
journal, July 1998

Sugama, H.; Horton, W.
Physics of Plasmas, Vol. 5, Issue 7
DOI: 10.1063/1.872941

Finite spectral method based on non-periodic Fourier transform
journal, June 1998

Wang, Jian-Ping
Computers & Fluids, Vol. 27, Issue 5-6
DOI: 10.1016/S0045-7930(97)00056-X

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

A gyro-Landau-fluid transport model
journal, July 1997

Waltz, R. E.; Staebler, G. M.; Dorland, W.
Physics of Plasmas, Vol. 4, Issue 7
DOI: 10.1063/1.872228

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
DOI: 10.1063/1.2436852

Multiscale-optimized plasma turbulence simulation on petascale architectures
journal, June 2019

Candy, J.; Sfiligoi, I.; Belli, E.
Computers & Fluids, Vol. 188
DOI: 10.1016/j.compfluid.2019.04.016

Theory and simulation of rotational shear stabilization of turbulence
journal, May 1998

Waltz, R. E.; Dewar, R. L.; Garbet, X.
Physics of Plasmas, Vol. 5, Issue 5
DOI: 10.1063/1.872847

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Title: Spectral treatment of gyrokinetic profile curvature

Abstract

Citation Formats

Impact of centrifugal drifts on ion turbulent transport journal, March 2018

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

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An Eulerian gyrokinetic-Maxwell solver journal, April 2003

Tokamak profile prediction using direct gyrokinetic and neoclassical simulation journal, June 2009

Scalings of Ion-Temperature-Gradient-Driven Anomalous Transport in Tokamaks journal, July 1996

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

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On the Fourier Extension of Nonperiodic Functions journal, January 2010

Long global gyrokinetic simulations: Source terms and particle noise control journal, May 2008

Transport processes and entropy production in toroidally rotating plasmas with electrostatic turbulence journal, February 1997

Global gyrokinetic simulations of intrinsic rotation in ASDEX Upgrade Ohmic L-mode plasmas journal, March 2018

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Synergistic cross-scale coupling of turbulence in a tokamak plasma journal, November 2014

Large-scale gyrokinetic turbulence simulations: Effects of profile variation journal, May 1999

Investigation of the transport shortfall in Alcator C-Mod L-mode plasmas journal, March 2013

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Electron Temperature Gradient Turbulence journal, December 2000

Gyrokinetic analysis of radial dependence and global effects on the zero particle flux condition in a TCV plasma journal, May 2019

Stabilization of ballooning modes with sheared toroidal rotation journal, October 1995

Neoclassical transport in toroidal plasmas with nonaxisymmetric flux surfaces journal, April 2015

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Neoclassical electron and ion transport in toroidally rotating plasmas journal, June 1997

New Paradigm for Suppression of Gyrokinetic Turbulence by Velocity Shear journal, January 2013

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

Comparisons and physics basis of tokamak transport models and turbulence simulations journal, March 2000

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Spectral treatment of gyrokinetic shear flow journal, March 2018

Nonlinear electromagnetic gyrokinetic equation for plasmas with large mean flows journal, July 1998

Finite spectral method based on non-periodic Fourier transform journal, June 1998

Noncircular, finite aspect ratio, local equilibrium model journal, April 1998

A gyro-Landau-fluid transport model journal, July 1997

A theory-based transport model with comprehensive physics journal, May 2007

Multiscale-optimized plasma turbulence simulation on petascale architectures journal, June 2019

Theory and simulation of rotational shear stabilization of turbulence journal, May 1998

Impact of centrifugal drifts on ion turbulent transport
journal, March 2018

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

Exponentially accurate Runge-free approximation of non-periodic functions from samples on an evenly spaced grid
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Linearized model collision operators for multiple ion species plasmas and gyrokinetic entropy balance equations
journal, November 2009

An Eulerian gyrokinetic-Maxwell solver
journal, April 2003

Tokamak profile prediction using direct gyrokinetic and neoclassical simulation
journal, June 2009

Scalings of Ion-Temperature-Gradient-Driven Anomalous Transport in Tokamaks
journal, July 1996

Gyrokinetic simulation of momentum transport with residual stress from diamagnetic level velocity shears
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Relevance of the parallel nonlinearity in gyrokinetic simulations of tokamak plasmas
journal, July 2006

On the Fourier Extension of Nonperiodic Functions
journal, January 2010

Long global gyrokinetic simulations: Source terms and particle noise control
journal, May 2008

Transport processes and entropy production in toroidally rotating plasmas with electrostatic turbulence
journal, February 1997

Global gyrokinetic simulations of intrinsic rotation in ASDEX Upgrade Ohmic L-mode plasmas
journal, March 2018

Equilibrium of a Magnetically Confined Plasma in a Toroid
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A high-accuracy Eulerian gyrokinetic solver for collisional plasmas
journal, November 2016

Nonlinear quasisteady state benchmark of global gyrokinetic codes
journal, November 2010

Synergistic cross-scale coupling of turbulence in a tokamak plasma
journal, November 2014

Large-scale gyrokinetic turbulence simulations: Effects of profile variation
journal, May 1999

Investigation of the transport shortfall in Alcator C-Mod L-mode plasmas
journal, March 2013

Toroidal gyro‐Landau fluid model turbulence simulations in a nonlinear ballooning mode representation with radial modes
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Gyrokinetic turbulence simulation of profile shear stabilization and broken gyroBohm scaling
journal, May 2002

Electron Temperature Gradient Turbulence
journal, December 2000

Gyrokinetic analysis of radial dependence and global effects on the zero particle flux condition in a TCV plasma
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Stabilization of ballooning modes with sheared toroidal rotation
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Neoclassical transport in toroidal plasmas with nonaxisymmetric flux surfaces
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Kinetic calculation of neoclassical transport including self-consistent electron and impurity dynamics
journal, July 2008

Ion temperature gradient turbulence simulations and plasma flux surface shape
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Neoclassical electron and ion transport in toroidally rotating plasmas
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Anomalous parallel momentum transport due to E×B flow shear in a tokamak plasma
journal, September 2009

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journal, March 2000

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journal, May 2000

The nonlinear gyro-kinetic flux tube code GKW
journal, December 2009

Spectral treatment of gyrokinetic shear flow
journal, March 2018

Nonlinear electromagnetic gyrokinetic equation for plasmas with large mean flows
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