A conservative scheme of drift kinetic electrons for gyrokinetic simulation of kineticMHD processes in toroidal plasmas
Abstract
A conservative scheme of drift kinetic electrons for gyrokinetic simulations of kineticmagnetohydrodynamic processes in toroidal plasmas has been formulated and verified. Both vector potential and electron perturbed distribution function are decomposed into adiabatic part with analytic solution and nonadiabatic part solved numerically. The adiabatic parallel electric field is solved directly from the electron adiabatic response, resulting in a high degree of accuracy. Here, the consistency between electrostatic potential and parallel vector potential is enforced by using the electron continuity equation. Since particles are only used to calculate the nonadiabatic response, which is used to calculate the nonadiabatic vector potential through Ohm's law, the conservative scheme minimizes the electron particle noise and mitigates the cancellation problem. Linear dispersion relations of the kinetic Alfvén wave and the collisionless tearing mode in cylindrical geometry have been verified in gyrokinetic toroidal code simulations, which show that the perpendicular grid size can be larger than the electron collisionless skin depth when the mode wavelength is longer than the electron skin depth.
 Authors:

 Univ. of California, Irvine, CA (United States); Peking Univ., Beijing (China)
 Sichuan Univ., Chengdu (China)
 Univ. of California, Irvine, CA (United States)
 Publication Date:
 Research Org.:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States); UTBattelle LLC/ORNL, Oak Ridge, TN (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1543839
 Alternate Identifier(s):
 OSTI ID: 1402100
 Grant/Contract Number:
 AC0205CH11231; AC0500OR22725
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physics of Plasmas
 Additional Journal Information:
 Journal Volume: 24; Journal Issue: 10; Journal ID: ISSN 1070664X
 Publisher:
 American Institute of Physics (AIP)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; Physics
Citation Formats
Bao, J., Liu, D., and Lin, Z. A conservative scheme of drift kinetic electrons for gyrokinetic simulation of kineticMHD processes in toroidal plasmas. United States: N. p., 2017.
Web. doi:10.1063/1.4995455.
Bao, J., Liu, D., & Lin, Z. A conservative scheme of drift kinetic electrons for gyrokinetic simulation of kineticMHD processes in toroidal plasmas. United States. doi:10.1063/1.4995455.
Bao, J., Liu, D., and Lin, Z. Mon .
"A conservative scheme of drift kinetic electrons for gyrokinetic simulation of kineticMHD processes in toroidal plasmas". United States. doi:10.1063/1.4995455. https://www.osti.gov/servlets/purl/1543839.
@article{osti_1543839,
title = {A conservative scheme of drift kinetic electrons for gyrokinetic simulation of kineticMHD processes in toroidal plasmas},
author = {Bao, J. and Liu, D. and Lin, Z.},
abstractNote = {A conservative scheme of drift kinetic electrons for gyrokinetic simulations of kineticmagnetohydrodynamic processes in toroidal plasmas has been formulated and verified. Both vector potential and electron perturbed distribution function are decomposed into adiabatic part with analytic solution and nonadiabatic part solved numerically. The adiabatic parallel electric field is solved directly from the electron adiabatic response, resulting in a high degree of accuracy. Here, the consistency between electrostatic potential and parallel vector potential is enforced by using the electron continuity equation. Since particles are only used to calculate the nonadiabatic response, which is used to calculate the nonadiabatic vector potential through Ohm's law, the conservative scheme minimizes the electron particle noise and mitigates the cancellation problem. Linear dispersion relations of the kinetic Alfvén wave and the collisionless tearing mode in cylindrical geometry have been verified in gyrokinetic toroidal code simulations, which show that the perpendicular grid size can be larger than the electron collisionless skin depth when the mode wavelength is longer than the electron skin depth.},
doi = {10.1063/1.4995455},
journal = {Physics of Plasmas},
number = 10,
volume = 24,
place = {United States},
year = {2017},
month = {10}
}
Web of Science
Works referenced in this record:
Physics of Alfvén waves and energetic particles in burning plasmas
journal, March 2016
 Chen, Liu; Zonca, Fulvio
 Reviews of Modern Physics, Vol. 88, Issue 1
Global gyrokinetic particle simulations with kinetic electrons
journal, November 2007
 Lin, Z.; Nishimura, Y.; Xiao, Y.
 Plasma Physics and Controlled Fusion, Vol. 49, Issue 12B
Gyrokinetic particle simulations of the effects of compressional magnetic perturbations on driftAlfvenic instabilities in tokamaks
journal, August 2017
 Dong, Ge; Bao, Jian; Bhattacharjee, Amitava
 Physics of Plasmas, Vol. 24, Issue 8
An Eulerian gyrokineticMaxwell solver
journal, April 2003
 Candy, J.; Waltz, R. E.
 Journal of Computational Physics, Vol. 186, Issue 2
Linear properties of reversed shear Alfvén eigenmodes in the DIIID tokamak
journal, March 2012
 Deng, W.; Lin, Z.; Holod, I.
 Nuclear Fusion, Vol. 52, Issue 4
Finiteβ simulation of microinstabilities
journal, February 2014
 Startsev, Edward A.; Lee, W. W.
 Physics of Plasmas, Vol. 21, Issue 2
ShearAlfvén waves in gyrokinetic plasmas
journal, October 2001
 Lee, W. W.; Lewandowski, J. L. V.; Hahm, T. S.
 Physics of Plasmas, Vol. 8, Issue 10
Kinetic electron closures for electromagnetic simulation of drift and shearAlfvén waves. I.
journal, January 2002
 Cohen, Bruce I.; Dimits, Andris M.; Nevins, William M.
 Physics of Plasmas, Vol. 9, Issue 1
Electromagnetic formulation of global gyrokinetic particle simulation in toroidal geometry
journal, December 2009
 Holod, I.; Zhang, W. L.; Xiao, Y.
 Physics of Plasmas, Vol. 16, Issue 12
Gyrokinetic particle simulation of neoclassical transport
journal, August 1995
 Lin, Z.; Tang, W. M.; Lee, W. W.
 Physics of Plasmas, Vol. 2, Issue 8
Effects of electron dynamics in toroidal momentum transport driven by ion temperature gradient turbulence
journal, January 2010
 Holod, I.; Lin, Z.
 Plasma Physics and Controlled Fusion, Vol. 52, Issue 3
Verification of gyrokinetic particle simulation of currentdriven instability in fusion plasmas. II. Resistive tearing mode
journal, December 2014
 Liu, Dongjian; Zhang, Wenlu; McClenaghan, Joseph
 Physics of Plasmas, Vol. 21, Issue 12
Alfvén waves in gyrokinetic plasmas
journal, August 2003
 Lee, W. W.; Qin, H.
 Physics of Plasmas, Vol. 10, Issue 8
A fluid–kinetic hybrid electron model for electromagnetic simulations
journal, May 2001
 Lin, Zhihong; Chen, Liu
 Physics of Plasmas, Vol. 8, Issue 5
Gyrokinetic equations for stronggradient regions
journal, February 2012
 Dimits, Andris M.
 Physics of Plasmas, Vol. 19, Issue 2
Gyrokinetic approach in particle simulation
journal, January 1983
 Lee, W. W.
 Physics of Fluids, Vol. 26, Issue 2
Trapped electron damping of geodesic acoustic mode
journal, July 2010
 Zhang, H. S.; Lin, Z.
 Physics of Plasmas, Vol. 17, Issue 7
Convective motion in collisionless trapped electron mode turbulence
journal, November 2011
 Xiao, Y.; Lin, Z.
 Physics of Plasmas, Vol. 18, Issue 11
Electromagnetic gyrokinetic PIC simulation with an adjustable control variates method
journal, July 2007
 Hatzky, R.; Könies, A.; Mishchenko, A.
 Journal of Computational Physics, Vol. 225, Issue 1
A finitemass fluid electron simulation model for lowfrequency electromagnetic waves in magnetized plasmas
journal, April 2011
 Liu, Dongjian; Chen, Liu
 Plasma Physics and Controlled Fusion, Vol. 53, Issue 6
Microtearing Modes and Anomalous Transport in Tokamaks
journal, April 1980
 Drake, J. F.; Gladd, N. T.; Liu, C. S.
 Physical Review Letters, Vol. 44, Issue 15
Foundations of nonlinear gyrokinetic theory
journal, April 2007
 Brizard, A. J.; Hahm, T. S.
 Reviews of Modern Physics, Vol. 79, Issue 2
Turbulent Transport of TrappedElectron Modes in Collisionless Plasmas
journal, August 2009
 Xiao, Yong; Lin, Zhihong
 Physical Review Letters, Vol. 103, Issue 8
Nonlinear gyrokinetic equations for lowfrequency electromagnetic waves in general plasma equilibria
journal, January 1982
 Frieman, E. A.
 Physics of Fluids, Vol. 25, Issue 3
Verification of electromagnetic fluidkinetic hybrid electron model in global gyrokinetic particle simulation
journal, March 2013
 Holod, I.; Lin, Z.
 Physics of Plasmas, Vol. 20, Issue 3
Fluid electrons with kinetic closure for long wavelength energetic particles driven modes
journal, May 2011
 Chen, Yang; Parker, Scott E.
 Physics of Plasmas, Vol. 18, Issue 5
A fully nonlinear characteristic method for gyrokinetic simulation
journal, January 1993
 Parker, S. E.; Lee, W. W.
 Physics of Fluids B: Plasma Physics, Vol. 5, Issue 1
Neoclassical Transport in Enhanced Confinement Toroidal Plasmas
journal, January 1997
 Lin, Z.; Tang, W. M.; Lee, W. W.
 Physical Review Letters, Vol. 78, Issue 3
Microturbulence in DIIID tokamak pedestal. III. Effects of collisions
journal, December 2016
 Liao, X.; Lin, Z.; Holod, I.
 Physics of Plasmas, Vol. 23, Issue 12
Kinetic theory of tearing instabilities
journal, January 1977
 Drake, J. F.; Lee, Y. C.
 Physics of Fluids, Vol. 20, Issue 8
Gyrokinetic particle simulation model
journal, September 1987
 Lee, W. W.
 Journal of Computational Physics, Vol. 72, Issue 1
Verification of gyrokinetic particle simulation of currentdriven instability in fusion plasmas. III. Collisionless tearing mode
journal, February 2016
 Liu, Dongjian; Bao, Jian; Han, Tao
 Physics of Plasmas, Vol. 23, Issue 2
Gyrokinetic simulation model for kinetic magnetohydrodynamic processes in magnetized plasmas
journal, January 2012
 Deng, W.; Lin, Z.; Holod, I.
 Nuclear Fusion, Vol. 52, Issue 2
Turbulent Transport Reduction by Zonal Flows: Massively Parallel Simulations
journal, September 1998
 Lin, Z.
 Science, Vol. 281, Issue 5384
New Paradigm for Turbulent Transport Across a Steep Gradient in Toroidal Plasmas
journal, March 2017
 Xie, H. S.; Xiao, Y.; Lin, Z.
 Physical Review Letters, Vol. 118, Issue 9
Partially Linearized Algorithms in Gyrokinetic Particle Simulation
journal, August 1993
 Dimits, A. M.; Lee, W. W.
 Journal of Computational Physics, Vol. 107, Issue 2
Gyrokinetic particle simulation of microturbulence for general magnetic geometry and experimental profiles
journal, February 2015
 Xiao, Yong; Holod, Ihor; Wang, Zhixuan
 Physics of Plasmas, Vol. 22, Issue 2
Global simulations of tokamak microturbulence: finiteβ effects and collisions
journal, November 2011
 Bottino, A.; Vernay, T.; Scott, B.
 Plasma Physics and Controlled Fusion, Vol. 53, Issue 12
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
A δf particle method for gyrokinetic simulations with kinetic electrons and electromagnetic perturbations
journal, August 2003
 Chen, Yang; Parker, Scott E.
 Journal of Computational Physics, Vol. 189, Issue 2
Electromagnetic global gyrokinetic simulation of shear Alfven wave dynamics in tokamak plasmas
journal, April 2007
 Nishimura, Y.; Lin, Z.; Wang, W. X.
 Physics of Plasmas, Vol. 14, Issue 4
The splitweight particle simulation scheme for plasmas
journal, May 2000
 Manuilskiy, Igor; Lee, W. W.
 Physics of Plasmas, Vol. 7, Issue 5
Microturbulence in DIIID tokamak pedestal. II. Electromagnetic instabilities
journal, August 2015
 Holod, I.; Fulton, D.; Lin, Z.
 Nuclear Fusion, Vol. 55, Issue 9
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
New variables for gyrokinetic electromagnetic simulations
journal, May 2014
 Mishchenko, Alexey; Cole, Michael; Kleiber, Ralf
 Physics of Plasmas, Vol. 21, Issue 5
Radial Localization of ToroidicityInduced Alfvén Eigenmodes
journal, October 2013
 Wang, Zhixuan; Lin, Zhihong; Holod, Ihor
 Physical Review Letters, Vol. 111, Issue 14
Chapter 3: MHD stability, operational limits and disruptions
journal, June 2007
 Hender, T. C.; Wesley, J. C.; Bialek, J.
 Nuclear Fusion, Vol. 47, Issue 6
Full radius linear and nonlinear gyrokinetic simulations for tokamaks and stellarators: zonal flows, applied E × B flows, trapped electrons and finite beta
journal, December 2003
 Villard, L.; Allfrey, S. J.; Bottino, A.
 Nuclear Fusion, Vol. 44, Issue 1
Works referencing / citing this record:
A conservative scheme for electromagnetic simulation of magnetized plasmas with kinetic electrons
journal, February 2018
 Bao, J.; Lin, Z.; Lu, Z. X.
 Physics of Plasmas, Vol. 25, Issue 2
Nonlinear saturation of kinetic ballooning modes by zonal fields in toroidal plasmas
journal, January 2019
 Dong, G.; Bao, J.; Bhattacharjee, A.
 Physics of Plasmas, Vol. 26, Issue 1
Kinetic particle simulations in a global toroidal geometry
journal, August 2019
 De, S.; Singh, T.; Kuley, A.
 Physics of Plasmas, Vol. 26, Issue 8
Effects of RMPinduced changes of radial electric fields on microturbulence in DIIID pedestal top
journal, February 2019
 Taimourzadeh, S.; Shi, L.; Lin, Z.
 Nuclear Fusion, Vol. 59, Issue 4
Gyrokinetic simulations of nonlinear interactions between magnetic islands and microturbulence
journal, September 2019
 Fang, Kaisheng; Bao, Jian; Lin, Zhihong
 Plasma Science and Technology, Vol. 21, Issue 11