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Title: Simulation of neoclassical transport with the continuum gyrokinetic code COGENT

Abstract

The development of the continuum gyrokinetic code COGENT for edge plasma simulations is reported. The present version of the code models a nonlinear axisymmetric 4D (R, v{sub Parallel-To }, {mu}) gyrokinetic equation coupled to the long-wavelength limit of the gyro-Poisson equation. Here, R is the particle gyrocenter coordinate in the poloidal plane, and v{sub Parallel-To} and {mu} are the guiding center velocity parallel to the magnetic field and the magnetic moment, respectively. The COGENT code utilizes a fourth-order finite-volume (conservative) discretization combined with arbitrary mapped multiblock grid technology (nearly field-aligned on blocks) to handle the complexity of tokamak divertor geometry with high accuracy. Topics presented are the implementation of increasingly detailed model collision operators, and the results of neoclassical transport simulations including the effects of a strong radial electric field characteristic of a tokamak pedestal under H-mode conditions.

Authors:
; ; ; ; ;  [1]; ; ;  [2]
  1. Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)
  2. Lawrence Berkeley National Laboratory, Berkeley, California 94720 (United States)
Publication Date:
OSTI Identifier:
22113359
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 20; Journal Issue: 1; Other Information: (c) 2013 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; AXIAL SYMMETRY; BOUNDARY LAYERS; COMPUTERIZED SIMULATION; ELECTRIC FIELDS; H-MODE PLASMA CONFINEMENT; MAGNETIC FIELDS; MAGNETIC MOMENTS; NEOCLASSICAL TRANSPORT THEORY; NONLINEAR PROBLEMS; PLASMA; PLASMA SIMULATION; POISSON EQUATION; THERMONUCLEAR REACTORS; TOKAMAK DEVICES; WAVELENGTHS

Citation Formats

Dorf, M. A., Cohen, R. H., Dorr, M., Rognlien, T., Hittinger, J., Compton, J., Colella, P., Martin, D., and McCorquodale, P. Simulation of neoclassical transport with the continuum gyrokinetic code COGENT. United States: N. p., 2013. Web. doi:10.1063/1.4776712.
Dorf, M. A., Cohen, R. H., Dorr, M., Rognlien, T., Hittinger, J., Compton, J., Colella, P., Martin, D., & McCorquodale, P. Simulation of neoclassical transport with the continuum gyrokinetic code COGENT. United States. https://doi.org/10.1063/1.4776712
Dorf, M. A., Cohen, R. H., Dorr, M., Rognlien, T., Hittinger, J., Compton, J., Colella, P., Martin, D., and McCorquodale, P. Tue . "Simulation of neoclassical transport with the continuum gyrokinetic code COGENT". United States. https://doi.org/10.1063/1.4776712.
@article{osti_22113359,
title = {Simulation of neoclassical transport with the continuum gyrokinetic code COGENT},
author = {Dorf, M. A. and Cohen, R. H. and Dorr, M. and Rognlien, T. and Hittinger, J. and Compton, J. and Colella, P. and Martin, D. and McCorquodale, P.},
abstractNote = {The development of the continuum gyrokinetic code COGENT for edge plasma simulations is reported. The present version of the code models a nonlinear axisymmetric 4D (R, v{sub Parallel-To }, {mu}) gyrokinetic equation coupled to the long-wavelength limit of the gyro-Poisson equation. Here, R is the particle gyrocenter coordinate in the poloidal plane, and v{sub Parallel-To} and {mu} are the guiding center velocity parallel to the magnetic field and the magnetic moment, respectively. The COGENT code utilizes a fourth-order finite-volume (conservative) discretization combined with arbitrary mapped multiblock grid technology (nearly field-aligned on blocks) to handle the complexity of tokamak divertor geometry with high accuracy. Topics presented are the implementation of increasingly detailed model collision operators, and the results of neoclassical transport simulations including the effects of a strong radial electric field characteristic of a tokamak pedestal under H-mode conditions.},
doi = {10.1063/1.4776712},
url = {https://www.osti.gov/biblio/22113359}, journal = {Physics of Plasmas},
issn = {1070-664X},
number = 1,
volume = 20,
place = {United States},
year = {2013},
month = {1}
}

Works referenced in this record:

Gyrokinetic Simulation of Particle and Heat Transport in the Presence of Wide Orbits and Strong Profile Variations in the Edge Plasma
journal, September 2006


Progress in Kinetic Simulation of Edge Plasmas
journal, March 2008


Progress with the COGENT Edge Kinetic Code: Collision Operator Options
journal, June 2012


Reduced Electron Models for Edge Simulation
journal, June 2012


Particle Simulation of the Neoclassical Plasmas
journal, November 2001


Conservative gyrokinetic Vlasov simulation
journal, February 2008


On the role of numerical dissipation in gyrokinetic Vlasov simulations of plasma microturbulence
journal, August 2010


A limiter for PPM that preserves accuracy at smooth extrema
journal, July 2008


High-order, finite-volume methods in mapped coordinates
journal, April 2011


The global version of the gyrokinetic turbulence code GENE
journal, August 2011


The guiding centre approximation in lowest order
journal, August 1967


Geodesic Acoustic Waves in Hydromagnetic Systems
journal, January 1968


A guiding-center Fokker–Planck collision operator for nonuniform magnetic fields
journal, September 2004


The neoclassical angular momentum flux in the large aspect ratio limit
journal, September 2005


Isothermal tokamak
journal, December 2006


Spontaneous rotation sources in a quiescent tokamak edge plasma
journal, June 2008


Linearized model Fokker–Planck collision operators for gyrokinetic simulations. I. Theory
journal, December 2008


Transport of momentum in full f gyrokinetics
journal, May 2010


Neoclassical equilibria as starting point for global gyrokinetic microturbulence simulations
journal, December 2010


A gyrokinetic collision operator for magnetized Lorentz plasmas
journal, March 2011


Neoclassical physics in full distribution function gyrokinetics
journal, June 2011


Gyrokinetic particle simulation of neoclassical transport
journal, August 1995


Nonlinear gyrokinetic equations for turbulence in core transport barriers
journal, December 1996


Kinetic effects in tokamak scrape-off layer plasmas
journal, May 1997


Bootstrap current and neoclassical transport in tokamaks of arbitrary collisionality and aspect ratio
journal, September 1997


The radial electric field dynamics in the neoclassical plasmas
journal, December 1997


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


The ambipolarity paradox in toroidal diffusion, revisited
journal, July 1978


Edge gyrokinetic theory and continuum simulations
journal, July 2007


Gyrokinetic study of the edge shear layer
journal, April 2006


Limitations of gyrokinetics on transport time scales
journal, April 2008


Arbitrary poloidal gyroradius effects in tokamak pedestals and transport barriers
journal, June 2008


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


Neoclassical ion heat flux and poloidal flow in a tokamak pedestal
journal, March 2010


Neoclassical plateau regime transport in a tokamak pedestal
journal, June 2010


The effect of the radial electric field on neoclassical flows in a tokamak pedestal
journal, January 2011


Neoclassical Radial Electric Field and Transport with Finite Orbits
journal, July 2001


Anomalous Transport Scaling in the DIII-D Tokamak Matched by Supercomputer Simulation
journal, July 2003


Theory of plasma transport in toroidal confinement systems
journal, April 1976


Neoclassical ion heat flux and poloidal flow in a tokamak pedestal
journal, June 2010


Advanced Particle Simulation of Open-Field Plasmas in Magnetic Confinement Systems
journal, January 2001


    Works referencing / citing this record:

    Gyrokinetic Simulation of Particle and Heat Transport in the Presence of Wide Orbits and Strong Profile Variations in the Edge Plasma
    journal, September 2006


    Progress in Kinetic Simulation of Edge Plasmas
    journal, March 2008


    Progress with the COGENT Edge Kinetic Code: Collision Operator Options
    journal, June 2012


    Reduced Electron Models for Edge Simulation
    journal, June 2012


    Particle Simulation of the Neoclassical Plasmas
    journal, November 2001


    Conservative gyrokinetic Vlasov simulation
    journal, February 2008


    On the role of numerical dissipation in gyrokinetic Vlasov simulations of plasma microturbulence
    journal, August 2010


    A limiter for PPM that preserves accuracy at smooth extrema
    journal, July 2008


    High-order, finite-volume methods in mapped coordinates
    journal, April 2011


    The global version of the gyrokinetic turbulence code GENE
    journal, August 2011


    The guiding centre approximation in lowest order
    journal, August 1967


    Geodesic Acoustic Waves in Hydromagnetic Systems
    journal, January 1968


    A guiding-center Fokker–Planck collision operator for nonuniform magnetic fields
    journal, September 2004


    The neoclassical angular momentum flux in the large aspect ratio limit
    journal, September 2005


    Isothermal tokamak
    journal, December 2006


    Spontaneous rotation sources in a quiescent tokamak edge plasma
    journal, June 2008


    Linearized model Fokker–Planck collision operators for gyrokinetic simulations. I. Theory
    journal, December 2008


    Transport of momentum in full f gyrokinetics
    journal, May 2010


    Neoclassical equilibria as starting point for global gyrokinetic microturbulence simulations
    journal, December 2010


    A gyrokinetic collision operator for magnetized Lorentz plasmas
    journal, March 2011


    Neoclassical physics in full distribution function gyrokinetics
    journal, June 2011


    Gyrokinetic particle simulation of neoclassical transport
    journal, August 1995


    Nonlinear gyrokinetic equations for turbulence in core transport barriers
    journal, December 1996


    Kinetic effects in tokamak scrape-off layer plasmas
    journal, May 1997


    Bootstrap current and neoclassical transport in tokamaks of arbitrary collisionality and aspect ratio
    journal, September 1997


    The radial electric field dynamics in the neoclassical plasmas
    journal, December 1997


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


    The ambipolarity paradox in toroidal diffusion, revisited
    journal, July 1978


    Edge gyrokinetic theory and continuum simulations
    journal, July 2007


    Gyrokinetic study of the edge shear layer
    journal, April 2006


    Limitations of gyrokinetics on transport time scales
    journal, April 2008


    Arbitrary poloidal gyroradius effects in tokamak pedestals and transport barriers
    journal, June 2008


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


    Neoclassical ion heat flux and poloidal flow in a tokamak pedestal
    journal, March 2010


    Neoclassical plateau regime transport in a tokamak pedestal
    journal, June 2010


    The effect of the radial electric field on neoclassical flows in a tokamak pedestal
    journal, January 2011


    Neoclassical Radial Electric Field and Transport with Finite Orbits
    journal, July 2001


    Anomalous Transport Scaling in the DIII-D Tokamak Matched by Supercomputer Simulation
    journal, July 2003


    Theory of plasma transport in toroidal confinement systems
    journal, April 1976


    Advanced Particle Simulation of Open-Field Plasmas in Magnetic Confinement Systems
    journal, January 2001


    Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration
    journal, May 2018


    Kinetic neoclassical transport in the H-mode pedestal
    journal, July 2014


    Continuum kinetic modeling of the tokamak plasma edge
    journal, May 2016


    Full- f version of GENE for turbulence in open-field-line systems
    journal, June 2018


    Gyrokinetic simulations of m = 0 mode in sheared flow Z-pinch plasmas
    journal, June 2019