A conservative scheme for electromagnetic simulation of magnetized plasmas with kinetic electrons
Abstract
A conservative scheme has been formulated and confirmed for gyrokinetic particle simulations of electromagnetic waves and instabilities in magnetized plasmas. An electron continuity equation derived from the drift kinetic equation is used to time advance the electron density perturbation by using the perturbed mechanical flow calculated from the parallel vector potential, and the parallel vector potential is solved by using the perturbed canonical flow from the perturbed distribution function. In gyrokinetic particle simulations using this new scheme, the shear Alfvén wave dispersion relation in the shearless slab and continuum damping in the sheared cylinder have been recovered. The new scheme overcomes the stringent requirement in the conventional perturbative simulation method that perpendicular grid size needs to be as small as electron collisionless skin depth even for the long wavelength Alfvén waves. The new scheme also circumvents the problem in the typical approach that an unphysically large parallel electric field arises due to the inconsistency between electrostatic potential calculated from the perturbed density and vector potential calculated from the perturbed canonical flow. Lastly, the gyrokinetic particle simulations of the Alfvén waves in sheared cylinder have superior numerical properties compared with the fluid simulations, which suffer from numerical difficulties associated with singularmore »
- Authors:
-
- Univ. of California, Irvine, CA (United States); Peking Univ., Beijing (China)
- Univ. of California, Irvine, CA (United States)
- Peking Univ., Beijing (China); Max Planck Inst. für Plasmaphysik, Garching (Germany)
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC); Univ. of California, Oakland, CA (United States); UT-Battelle LLC/ORNL, Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); China Scholarship Council
- OSTI Identifier:
- 1543850
- Alternate Identifier(s):
- OSTI ID: 1422452
- Grant/Contract Number:
- AC02-05CH11231; AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physics of Plasmas
- Additional Journal Information:
- Journal Volume: 25; Journal Issue: 2; Journal ID: ISSN 1070-664X
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Bao, J., Lin, Z., and Lu, Z. X. A conservative scheme for electromagnetic simulation of magnetized plasmas with kinetic electrons. United States: N. p., 2018.
Web. doi:10.1063/1.5016432.
Bao, J., Lin, Z., & Lu, Z. X. A conservative scheme for electromagnetic simulation of magnetized plasmas with kinetic electrons. United States. https://doi.org/10.1063/1.5016432
Bao, J., Lin, Z., and Lu, Z. X. Fri .
"A conservative scheme for electromagnetic simulation of magnetized plasmas with kinetic electrons". United States. https://doi.org/10.1063/1.5016432. https://www.osti.gov/servlets/purl/1543850.
@article{osti_1543850,
title = {A conservative scheme for electromagnetic simulation of magnetized plasmas with kinetic electrons},
author = {Bao, J. and Lin, Z. and Lu, Z. X.},
abstractNote = {A conservative scheme has been formulated and confirmed for gyrokinetic particle simulations of electromagnetic waves and instabilities in magnetized plasmas. An electron continuity equation derived from the drift kinetic equation is used to time advance the electron density perturbation by using the perturbed mechanical flow calculated from the parallel vector potential, and the parallel vector potential is solved by using the perturbed canonical flow from the perturbed distribution function. In gyrokinetic particle simulations using this new scheme, the shear Alfvén wave dispersion relation in the shearless slab and continuum damping in the sheared cylinder have been recovered. The new scheme overcomes the stringent requirement in the conventional perturbative simulation method that perpendicular grid size needs to be as small as electron collisionless skin depth even for the long wavelength Alfvén waves. The new scheme also circumvents the problem in the typical approach that an unphysically large parallel electric field arises due to the inconsistency between electrostatic potential calculated from the perturbed density and vector potential calculated from the perturbed canonical flow. Lastly, the gyrokinetic particle simulations of the Alfvén waves in sheared cylinder have superior numerical properties compared with the fluid simulations, which suffer from numerical difficulties associated with singular mode structures.},
doi = {10.1063/1.5016432},
journal = {Physics of Plasmas},
number = 2,
volume = 25,
place = {United States},
year = {Fri Feb 23 00:00:00 EST 2018},
month = {Fri Feb 23 00:00:00 EST 2018}
}
Web of Science
Works referenced in this record:
An Eulerian gyrokinetic-Maxwell solver
journal, April 2003
- Candy, J.; Waltz, R. E.
- Journal of Computational Physics, Vol. 186, Issue 2
Finite-β simulation of microinstabilities
journal, February 2014
- Startsev, Edward A.; Lee, W. W.
- Physics of Plasmas, Vol. 21, Issue 2
Nonlinear electromagnetic formulation for particle-in-cell simulation of lower hybrid waves in toroidal geometry
journal, June 2016
- Bao, J.; Lin, Z.; Kuley, A.
- Physics of Plasmas, Vol. 23, Issue 6
Shear-Alfvén waves in gyrokinetic plasmas
journal, October 2001
- Lee, W. W.; Lewandowski, J. L. V.; Hahm, T. S.
- Physics of Plasmas, Vol. 8, Issue 10
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
A fluid–kinetic hybrid electron model for electromagnetic simulations
journal, May 2001
- Lin, Zhihong; Chen, Liu
- Physics of Plasmas, Vol. 8, Issue 5
Decay of MHD waves by phase mixing: II. The theta-pinch in cylindrical geometry
journal, June 1973
- Grossmann, W.; Tataronis, J.
- Zeitschrift für Physik A Hadrons and nuclei, Vol. 261, Issue 3
Decay of MHD waves by phase mixing: I. The sheet-pinch in plane geometry
journal, June 1973
- Tataronis, J.; Grossmann, W.
- Zeitschrift für Physik A Hadrons and nuclei, Vol. 261, Issue 3
Electromagnetic particle simulation of the effect of toroidicity on linear mode conversion and absorption of lower hybrid waves
journal, May 2016
- Bao, J.; Lin, Z.; Kuley, A.
- Nuclear Fusion, Vol. 56, Issue 6
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
Nonlinear gyrokinetic theory for finite-beta plasmas
journal, January 1988
- Hahm, T. S.; Lee, W. W.; Brizard, A.
- Physics of Fluids, Vol. 31, Issue 7
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
Verification of electromagnetic fluid-kinetic 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 conservative scheme of drift kinetic electrons for gyrokinetic simulation of kinetic-MHD processes in toroidal plasmas
journal, October 2017
- Bao, J.; Liu, D.; Lin, Z.
- Physics of Plasmas, Vol. 24, Issue 10
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
Gyrokinetic particle simulation model
journal, September 1987
- Lee, W. W.
- Journal of Computational Physics, Vol. 72, Issue 1
Verification of gyrokinetic particle simulation of current-driven 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
Kinetic processes in plasma heating by resonant mode conversion of Alfvén wave
journal, January 1976
- Hasegawa, Akira; Chen, Liu
- Physics of Fluids, Vol. 19, Issue 12
Partially Linearized Algorithms in Gyrokinetic Particle Simulation
journal, August 1993
- Dimits, A. M.; Lee, W. W.
- Journal of Computational Physics, Vol. 107, Issue 2
Finite-mass fluid electron simulation of kinetic and inertial Alfvén waves in a sheared magnetic field
journal, July 2011
- Liu, Dongjian; Chen, Liu
- Physica Scripta, Vol. 84, Issue 2
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
New variables for gyrokinetic electromagnetic simulations
journal, May 2014
- Mishchenko, Alexey; Cole, Michael; Kleiber, Ralf
- Physics of Plasmas, Vol. 21, Issue 5
Works referencing / citing this record:
Verification and validation of integrated simulation of energetic particles in fusion plasmas
journal, April 2019
- Taimourzadeh, S.; Bass, E. M.; Chen, Y.
- Nuclear Fusion, Vol. 59, Issue 6
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
Electromagnetic full-$f$ gyrokinetics in the tokamak edge with discontinuous Galerkin methods
text, January 2019
- Mandell, N. R.; Hakim, A.; Hammett, G. W.
- arXiv