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:
-
- Lawrence Livermore National Laboratory, Livermore, California 94550 (United States)
- 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}
}
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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
- Heikkinen, J. A.; Henriksson, S.; Janhunen, S.
- Contributions to Plasma Physics, Vol. 46, Issue 7-9
Progress in Kinetic Simulation of Edge Plasmas
journal, March 2008
- Cohen, R. H.; Xu, X. Q.
- Contributions to Plasma Physics, Vol. 48, Issue 1-3
Progress with the COGENT Edge Kinetic Code: Collision Operator Options
journal, June 2012
- Dorf, M. A.; Cohen, R. H.; Compton, J. C.
- Contributions to Plasma Physics, Vol. 52, Issue 5-6
Reduced Electron Models for Edge Simulation
journal, June 2012
- Cohen, R. H.; Dorf, M.; Dorr, M.
- Contributions to Plasma Physics, Vol. 52, Issue 5-6
Particle Simulation of the Neoclassical Plasmas
journal, November 2001
- Heikkinen, J. A.; Kiviniemi, T. P.; Kurki-Suonio, T.
- Journal of Computational Physics, Vol. 173, Issue 2
Conservative gyrokinetic Vlasov simulation
journal, February 2008
- Idomura, Yasuhiro; Ida, Masato; Tokuda, Shinji
- Communications in Nonlinear Science and Numerical Simulation, Vol. 13, Issue 1
On the role of numerical dissipation in gyrokinetic Vlasov simulations of plasma microturbulence
journal, August 2010
- Pueschel, M. J.; Dannert, T.; Jenko, F.
- Computer Physics Communications, Vol. 181, Issue 8
A limiter for PPM that preserves accuracy at smooth extrema
journal, July 2008
- Colella, Phillip; Sekora, Michael D.
- Journal of Computational Physics, Vol. 227, Issue 15
High-order, finite-volume methods in mapped coordinates
journal, April 2011
- Colella, P.; Dorr, M. R.; Hittinger, J. A. F.
- Journal of Computational Physics, Vol. 230, Issue 8
The global version of the gyrokinetic turbulence code GENE
journal, August 2011
- Görler, T.; Lapillonne, X.; Brunner, S.
- Journal of Computational Physics, Vol. 230, Issue 18
The guiding centre approximation in lowest order
journal, August 1967
- Baños, Alfredo
- Journal of Plasma Physics, Vol. 1, Issue 3
Geodesic Acoustic Waves in Hydromagnetic Systems
journal, January 1968
- Winsor, Niels
- Physics of Fluids, Vol. 11, Issue 11
A guiding-center Fokker–Planck collision operator for nonuniform magnetic fields
journal, September 2004
- Brizard, Alain J.
- Physics of Plasmas, Vol. 11, Issue 9
The neoclassical angular momentum flux in the large aspect ratio limit
journal, September 2005
- Wong, S. K.; Chan, V. S.
- Physics of Plasmas, Vol. 12, Issue 9
Isothermal tokamak
journal, December 2006
- Catto, Peter J.; Hazeltine, R. D.
- Physics of Plasmas, Vol. 13, Issue 12
Spontaneous rotation sources in a quiescent tokamak edge plasma
journal, June 2008
- Chang, C. S.; Ku, S.
- Physics of Plasmas, Vol. 15, Issue 6
Linearized model Fokker–Planck collision operators for gyrokinetic simulations. I. Theory
journal, December 2008
- Abel, I. G.; Barnes, M.; Cowley, S. C.
- Physics of Plasmas, Vol. 15, Issue 12
Transport of momentum in full f gyrokinetics
journal, May 2010
- Parra, Felix I.; Catto, Peter J.
- Physics of Plasmas, Vol. 17, Issue 5
Neoclassical equilibria as starting point for global gyrokinetic microturbulence simulations
journal, December 2010
- Vernay, T.; Brunner, S.; Villard, L.
- Physics of Plasmas, Vol. 17, Issue 12
A gyrokinetic collision operator for magnetized Lorentz plasmas
journal, March 2011
- Liu, Chang; Qin, Hong; Ma, Chenhao
- Physics of Plasmas, Vol. 18, Issue 3
Neoclassical physics in full distribution function gyrokinetics
journal, June 2011
- Dif-Pradalier, G.; Diamond, P. H.; Grandgirard, V.
- Physics of Plasmas, Vol. 18, Issue 6
Effect of finite aspect ratio on the neoclassical ion thermal conductivity in the banana regime
journal, January 1982
- Chang, C. S.
- Physics of Fluids, Vol. 25, Issue 9
Gyrokinetic particle simulation of neoclassical transport
journal, August 1995
- Lin, Z.; Tang, W. M.; Lee, W. W.
- Physics of Plasmas, Vol. 2, Issue 8
Nonlinear gyrokinetic equations for turbulence in core transport barriers
journal, December 1996
- Hahm, T. S.
- Physics of Plasmas, Vol. 3, Issue 12
Kinetic effects in tokamak scrape-off layer plasmas
journal, May 1997
- Batishchev, O. V.; Krasheninnikov, S. I.; Catto, Peter J.
- Physics of Plasmas, Vol. 4, Issue 5
Effects of E×B velocity shear and magnetic shear on turbulence and transport in magnetic confinement devices
journal, May 1997
- Burrell, K. H.
- Physics of Plasmas, Vol. 4, Issue 5
Bootstrap current and neoclassical transport in tokamaks of arbitrary collisionality and aspect ratio
journal, September 1997
- Houlberg, W. A.; Shaing, K. C.; Hirshman, S. P.
- Physics of Plasmas, Vol. 4, Issue 9
The radial electric field dynamics in the neoclassical plasmas
journal, December 1997
- Novakovskii, S. V.; Liu, C. S.; Sagdeev, R. Z.
- Physics of Plasmas, Vol. 4, Issue 12
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
The ambipolarity paradox in toroidal diffusion, revisited
journal, July 1978
- Hirshman, S. P.
- Nuclear Fusion, Vol. 18, Issue 7
Edge gyrokinetic theory and continuum simulations
journal, July 2007
- Xu, X. Q.; Xiong, Z.; Dorr, M. R.
- Nuclear Fusion, Vol. 47, Issue 8
Comments on 'Neoclassical heat flux due to poloidal electric field in arbitrary collisionality regime'
journal, January 1995
- Helander, P.
- Plasma Physics and Controlled Fusion, Vol. 37, Issue 1
Gyrokinetic study of the edge shear layer
journal, April 2006
- Scott, B.
- Plasma Physics and Controlled Fusion, Vol. 48, Issue 5A
Limitations of gyrokinetics on transport time scales
journal, April 2008
- Parra, Felix I.; Catto, Peter J.
- Plasma Physics and Controlled Fusion, Vol. 50, Issue 6
Arbitrary poloidal gyroradius effects in tokamak pedestals and transport barriers
journal, June 2008
- Kagan, Grigory; Catto, Peter J.
- Plasma Physics and Controlled Fusion, Vol. 50, Issue 8
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
Neoclassical ion heat flux and poloidal flow in a tokamak pedestal
journal, March 2010
- Kagan, Grigory; Catto, Peter J.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 5
Neoclassical plateau regime transport in a tokamak pedestal
journal, June 2010
- Pusztai, Istvan; Catto, Peter J.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 7
The effect of the radial electric field on neoclassical flows in a tokamak pedestal
journal, January 2011
- Kagan, Grigory; Marr, Kenneth D.; Catto, Peter J.
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 2
Neoclassical simulation of tokamak plasmas using the continuum gyrokinetic code TEMPEST
journal, July 2008
- Xu, X. Q.
- Physical Review E, Vol. 78, Issue 1
Neoclassical Radial Electric Field and Transport with Finite Orbits
journal, July 2001
- Wang, W.; Hinton, F.; Wong, S.
- Physical Review Letters, Vol. 87, Issue 5
Anomalous Transport Scaling in the DIII-D Tokamak Matched by Supercomputer Simulation
journal, July 2003
- Candy, J.; Waltz, R. E.
- Physical Review Letters, Vol. 91, Issue 4
Theory of plasma transport in toroidal confinement systems
journal, April 1976
- Hinton, F. L.; Hazeltine, R. D.
- Reviews of Modern Physics, Vol. 48, Issue 2
Neoclassical ion heat flux and poloidal flow in a tokamak pedestal
journal, June 2010
- Kagan, Grigory; Catto, Peter J.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 7
Advanced Particle Simulation of Open-Field Plasmas in Magnetic Confinement Systems
journal, January 2001
- Takizuka, Tomonori; Hosokawa, Masanari; Shimizu, Katsuhiro
- Fusion Technology, Vol. 39, Issue 1T
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
- Heikkinen, J. A.; Henriksson, S.; Janhunen, S.
- Contributions to Plasma Physics, Vol. 46, Issue 7-9
Progress in Kinetic Simulation of Edge Plasmas
journal, March 2008
- Cohen, R. H.; Xu, X. Q.
- Contributions to Plasma Physics, Vol. 48, Issue 1-3
Progress with the COGENT Edge Kinetic Code: Collision Operator Options
journal, June 2012
- Dorf, M. A.; Cohen, R. H.; Compton, J. C.
- Contributions to Plasma Physics, Vol. 52, Issue 5-6
Reduced Electron Models for Edge Simulation
journal, June 2012
- Cohen, R. H.; Dorf, M.; Dorr, M.
- Contributions to Plasma Physics, Vol. 52, Issue 5-6
Particle Simulation of the Neoclassical Plasmas
journal, November 2001
- Heikkinen, J. A.; Kiviniemi, T. P.; Kurki-Suonio, T.
- Journal of Computational Physics, Vol. 173, Issue 2
Conservative gyrokinetic Vlasov simulation
journal, February 2008
- Idomura, Yasuhiro; Ida, Masato; Tokuda, Shinji
- Communications in Nonlinear Science and Numerical Simulation, Vol. 13, Issue 1
On the role of numerical dissipation in gyrokinetic Vlasov simulations of plasma microturbulence
journal, August 2010
- Pueschel, M. J.; Dannert, T.; Jenko, F.
- Computer Physics Communications, Vol. 181, Issue 8
A limiter for PPM that preserves accuracy at smooth extrema
journal, July 2008
- Colella, Phillip; Sekora, Michael D.
- Journal of Computational Physics, Vol. 227, Issue 15
High-order, finite-volume methods in mapped coordinates
journal, April 2011
- Colella, P.; Dorr, M. R.; Hittinger, J. A. F.
- Journal of Computational Physics, Vol. 230, Issue 8
The global version of the gyrokinetic turbulence code GENE
journal, August 2011
- Görler, T.; Lapillonne, X.; Brunner, S.
- Journal of Computational Physics, Vol. 230, Issue 18
The guiding centre approximation in lowest order
journal, August 1967
- Baños, Alfredo
- Journal of Plasma Physics, Vol. 1, Issue 3
Geodesic Acoustic Waves in Hydromagnetic Systems
journal, January 1968
- Winsor, Niels
- Physics of Fluids, Vol. 11, Issue 11
A guiding-center Fokker–Planck collision operator for nonuniform magnetic fields
journal, September 2004
- Brizard, Alain J.
- Physics of Plasmas, Vol. 11, Issue 9
The neoclassical angular momentum flux in the large aspect ratio limit
journal, September 2005
- Wong, S. K.; Chan, V. S.
- Physics of Plasmas, Vol. 12, Issue 9
Isothermal tokamak
journal, December 2006
- Catto, Peter J.; Hazeltine, R. D.
- Physics of Plasmas, Vol. 13, Issue 12
Spontaneous rotation sources in a quiescent tokamak edge plasma
journal, June 2008
- Chang, C. S.; Ku, S.
- Physics of Plasmas, Vol. 15, Issue 6
Linearized model Fokker–Planck collision operators for gyrokinetic simulations. I. Theory
journal, December 2008
- Abel, I. G.; Barnes, M.; Cowley, S. C.
- Physics of Plasmas, Vol. 15, Issue 12
Transport of momentum in full f gyrokinetics
journal, May 2010
- Parra, Felix I.; Catto, Peter J.
- Physics of Plasmas, Vol. 17, Issue 5
Neoclassical equilibria as starting point for global gyrokinetic microturbulence simulations
journal, December 2010
- Vernay, T.; Brunner, S.; Villard, L.
- Physics of Plasmas, Vol. 17, Issue 12
A gyrokinetic collision operator for magnetized Lorentz plasmas
journal, March 2011
- Liu, Chang; Qin, Hong; Ma, Chenhao
- Physics of Plasmas, Vol. 18, Issue 3
Neoclassical physics in full distribution function gyrokinetics
journal, June 2011
- Dif-Pradalier, G.; Diamond, P. H.; Grandgirard, V.
- Physics of Plasmas, Vol. 18, Issue 6
Effect of finite aspect ratio on the neoclassical ion thermal conductivity in the banana regime
journal, January 1982
- Chang, C. S.
- Physics of Fluids, Vol. 25, Issue 9
Gyrokinetic particle simulation of neoclassical transport
journal, August 1995
- Lin, Z.; Tang, W. M.; Lee, W. W.
- Physics of Plasmas, Vol. 2, Issue 8
Nonlinear gyrokinetic equations for turbulence in core transport barriers
journal, December 1996
- Hahm, T. S.
- Physics of Plasmas, Vol. 3, Issue 12
Kinetic effects in tokamak scrape-off layer plasmas
journal, May 1997
- Batishchev, O. V.; Krasheninnikov, S. I.; Catto, Peter J.
- Physics of Plasmas, Vol. 4, Issue 5
Effects of E×B velocity shear and magnetic shear on turbulence and transport in magnetic confinement devices
journal, May 1997
- Burrell, K. H.
- Physics of Plasmas, Vol. 4, Issue 5
Bootstrap current and neoclassical transport in tokamaks of arbitrary collisionality and aspect ratio
journal, September 1997
- Houlberg, W. A.; Shaing, K. C.; Hirshman, S. P.
- Physics of Plasmas, Vol. 4, Issue 9
The radial electric field dynamics in the neoclassical plasmas
journal, December 1997
- Novakovskii, S. V.; Liu, C. S.; Sagdeev, R. Z.
- Physics of Plasmas, Vol. 4, Issue 12
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
The ambipolarity paradox in toroidal diffusion, revisited
journal, July 1978
- Hirshman, S. P.
- Nuclear Fusion, Vol. 18, Issue 7
Edge gyrokinetic theory and continuum simulations
journal, July 2007
- Xu, X. Q.; Xiong, Z.; Dorr, M. R.
- Nuclear Fusion, Vol. 47, Issue 8
Comments on 'Neoclassical heat flux due to poloidal electric field in arbitrary collisionality regime'
journal, January 1995
- Helander, P.
- Plasma Physics and Controlled Fusion, Vol. 37, Issue 1
Gyrokinetic study of the edge shear layer
journal, April 2006
- Scott, B.
- Plasma Physics and Controlled Fusion, Vol. 48, Issue 5A
Limitations of gyrokinetics on transport time scales
journal, April 2008
- Parra, Felix I.; Catto, Peter J.
- Plasma Physics and Controlled Fusion, Vol. 50, Issue 6
Arbitrary poloidal gyroradius effects in tokamak pedestals and transport barriers
journal, June 2008
- Kagan, Grigory; Catto, Peter J.
- Plasma Physics and Controlled Fusion, Vol. 50, Issue 8
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
Neoclassical ion heat flux and poloidal flow in a tokamak pedestal
journal, March 2010
- Kagan, Grigory; Catto, Peter J.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 5
Neoclassical plateau regime transport in a tokamak pedestal
journal, June 2010
- Pusztai, Istvan; Catto, Peter J.
- Plasma Physics and Controlled Fusion, Vol. 52, Issue 7
The effect of the radial electric field on neoclassical flows in a tokamak pedestal
journal, January 2011
- Kagan, Grigory; Marr, Kenneth D.; Catto, Peter J.
- Plasma Physics and Controlled Fusion, Vol. 53, Issue 2
Neoclassical simulation of tokamak plasmas using the continuum gyrokinetic code TEMPEST
journal, July 2008
- Xu, X. Q.
- Physical Review E, Vol. 78, Issue 1
Neoclassical Radial Electric Field and Transport with Finite Orbits
journal, July 2001
- Wang, W.; Hinton, F.; Wong, S.
- Physical Review Letters, Vol. 87, Issue 5
Anomalous Transport Scaling in the DIII-D Tokamak Matched by Supercomputer Simulation
journal, July 2003
- Candy, J.; Waltz, R. E.
- Physical Review Letters, Vol. 91, Issue 4
Theory of plasma transport in toroidal confinement systems
journal, April 1976
- Hinton, F. L.; Hazeltine, R. D.
- Reviews of Modern Physics, Vol. 48, Issue 2
Advanced Particle Simulation of Open-Field Plasmas in Magnetic Confinement Systems
journal, January 2001
- Takizuka, Tomonori; Hosokawa, Masanari; Shimizu, Katsuhiro
- Fusion Technology, Vol. 39, Issue 1T
Kinetic Simulation of Collisional Magnetized Plasmas with Semi-implicit Time Integration
journal, May 2018
- Ghosh, Debojyoti; Dorf, Mikhail A.; Dorr, Milo R.
- Journal of Scientific Computing, Vol. 77, Issue 2
Kinetic neoclassical transport in the H-mode pedestal
journal, July 2014
- Battaglia, D. J.; Burrell, K. H.; Chang, C. S.
- Physics of Plasmas, Vol. 21, Issue 7
Continuum kinetic modeling of the tokamak plasma edge
journal, May 2016
- Dorf, M. A.; Dorr, M. R.; Hittinger, J. A.
- Physics of Plasmas, Vol. 23, Issue 5
Full- f version of GENE for turbulence in open-field-line systems
journal, June 2018
- Pan, Q.; Told, D.; Shi, E. L.
- Physics of Plasmas, Vol. 25, Issue 6
Gyrokinetic simulations of m = 0 mode in sheared flow Z-pinch plasmas
journal, June 2019
- Geyko, V. I.; Dorf, M.; Angus, J. R.
- Physics of Plasmas, Vol. 26, Issue 6