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.  https://doi.org/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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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

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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

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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
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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

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
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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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journal, January 2013

Anomalous parallel momentum transport due to E×B flow shear in a tokamak plasma
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journal, March 2000

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

The nonlinear gyro-kinetic flux tube code GKW
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Spectral treatment of gyrokinetic shear flow
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Nonlinear electromagnetic gyrokinetic equation for plasmas with large mean flows
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journal, July 1997

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