Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. I. Internal kink mode

McClenaghan, J.; Lin, Z.; Holod, I.; Deng, W.; Wang, Z.

doi:10.1063/1.4905073

Title: Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. I. Internal kink mode

Journal Article · Mon Dec 15 00:00:00 EST 2014 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4905073· OSTI ID:22403364

McClenaghan, J.; Lin, Z.; Holod, I.; Deng, W.; Wang, Z. ^[1]

University of California, Irvine, California 92697 (United States)

The gyrokinetic toroidal code (GTC) capability has been extended for simulating internal kink instability with kinetic effects in toroidal geometry. The global simulation domain covers the magnetic axis, which is necessary for simulating current-driven instabilities. GTC simulation in the fluid limit of the kink modes in cylindrical geometry is verified by benchmarking with a magnetohydrodynamic eigenvalue code. Gyrokinetic simulations of the kink modes in the toroidal geometry find that ion kinetic effects significantly reduce the growth rate even when the banana orbit width is much smaller than the radial width of the perturbed current layer at the mode rational surface.

Cite

Export

Save

OSTI ID:: 22403364

Journal Information:: Physics of Plasmas, Vol. 21, Issue 12; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X

Country of Publication:: United States

Language:: English

References (37)

Gyrokinetic particle simulation model Lee, W. W. Journal of Computational Physics, Vol. 72, Issue 1 https://doi.org/10.1016/0021-9991(87)90080-5	journal	September 1987
A fluid–kinetic hybrid electron model for electromagnetic simulations Lin, Zhihong; Chen, Liu Physics of Plasmas, Vol. 8, Issue 5 https://doi.org/10.1063/1.1356438	journal	May 2001
Growth Rates of Instabilities of a Diffuse Linear Pinch Goedbloed, J. P. Physics of Fluids, Vol. 15, Issue 6 https://doi.org/10.1063/1.1694034	journal	January 1972
Nonlinear properties of the internal m = 1 kink instability in the cylindrical tokamak Rosenbluth, Marshall N. Physics of Fluids, Vol. 16, Issue 11 https://doi.org/10.1063/1.1694231	journal	January 1973
Finite-Resistivity Instabilities of a Sheet Pinch Furth, Harold P.; Killeen, John; Rosenbluth, Marshall N. Physics of Fluids, Vol. 6, Issue 4 https://doi.org/10.1063/1.1706761	journal	January 1963
Global hybrid simulations of energetic particle effects on the n=1 mode in tokamaks: Internal kink and fishbone instability Fu, G. Y.; Park, W.; Strauss, H. R. Physics of Plasmas, Vol. 13, Issue 5 https://doi.org/10.1063/1.2203604	journal	May 2006
Impact of velocity space distribution on hybrid kinetic-magnetohydrodynamic simulation of the (1,1) mode Kim, Charlson C. Physics of Plasmas, Vol. 15, Issue 7 https://doi.org/10.1063/1.2949704	journal	July 2008
Electromagnetic formulation of global gyrokinetic particle simulation in toroidal geometry Holod, I.; Zhang, W. L.; Xiao, Y. Physics of Plasmas, Vol. 16, Issue 12 https://doi.org/10.1063/1.3273070	journal	December 2009
Gyrokinetic equations in an extended ordering Dimits, Andris M. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3327211	journal	May 2010
Hybrid simulation of energetic particle effects on tearing modes in tokamak plasmas Cai, Huishan; Fu, Guoyong Physics of Plasmas, Vol. 19, Issue 7 https://doi.org/10.1063/1.4736956	journal	July 2012
Global gyrokinetic particle-in-cell simulations of internal kink instabilities Mishchenko, Alexey; Zocco, Alessandro Physics of Plasmas, Vol. 19, Issue 12 https://doi.org/10.1063/1.4769379	journal	December 2012
Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. II. Resistive tearing mode Liu, Dongjian; Zhang, Wenlu; McClenaghan, Joseph Physics of Plasmas, Vol. 21, Issue 12 https://doi.org/10.1063/1.4905074	journal	December 2014
Kinetic theory of m=1 internal instabilities Drake, J. F. Physics of Fluids, Vol. 21, Issue 10 https://doi.org/10.1063/1.862094	journal	January 1978
Drift Hamiltonian in magnetic coordinates White, R. B. Physics of Fluids, Vol. 25, Issue 3 https://doi.org/10.1063/1.863773	journal	January 1982
Gyrokinetic approach in particle simulation Lee, W. W. Physics of Fluids, Vol. 26, Issue 2 https://doi.org/10.1063/1.864140	journal	January 1983
Gyrokinetic simulation of internal kink modes Naitou, Hiroshi; Tsuda, Kenji; Lee, W. W. Physics of Plasmas, Vol. 2, Issue 11 https://doi.org/10.1063/1.871051	journal	November 1995
Linear gyrokinetic theory for kinetic magnetohydrodynamic eigenmodes in tokamak plasmas Qin, H.; Tang, W. M.; Rewoldt, G. Physics of Plasmas, Vol. 6, Issue 6 https://doi.org/10.1063/1.873526	journal	June 1999
A theorem on MHD-instability of plasmas with resistive walls Pfirsch, D.; Tasso, H. Nuclear Fusion, Vol. 11, Issue 3 https://doi.org/10.1088/0029-5515/11/3/007	journal	May 1971
Stability of n = 1 internal modes in tokamaks Manickam, J. Nuclear Fusion, Vol. 24, Issue 5 https://doi.org/10.1088/0029-5515/24/5/006	journal	May 1984
Chapter 3: MHD stability, operational limits and disruptions Hender, T. C.; Wesley, J. C.; Bialek, J. Nuclear Fusion, Vol. 47, Issue 6 https://doi.org/10.1088/0029-5515/47/6/s03	journal	June 2007
Locking of neoclassical tearing modes by error fields and its stabilization by RF current Yu, Q.; Günter, S. Nuclear Fusion, Vol. 48, Issue 6 https://doi.org/10.1088/0029-5515/48/6/065004	journal	April 2008
Saturated ideal modes in advanced tokamak regimes in MAST Chapman, I. T.; Hua, M. -D.; Pinches, S. D. Nuclear Fusion, Vol. 50, Issue 4 https://doi.org/10.1088/0029-5515/50/4/045007	journal	March 2010
Gyrokinetic simulation model for kinetic magnetohydrodynamic processes in magnetized plasmas Deng, W.; Lin, Z.; Holod, I. Nuclear Fusion, Vol. 52, Issue 2 https://doi.org/10.1088/0029-5515/52/2/023005	journal	January 2012
Sawtooth control using electron cyclotron current drive in ITER demonstration plasmas in DIII-D Chapman, I. T.; La Haye, R. J.; Buttery, R. J. Nuclear Fusion, Vol. 52, Issue 6 https://doi.org/10.1088/0029-5515/52/6/063006	journal	April 2012
Oscillation regimes of the internal kink mode in tokamak plasmas Halpern, F. D.; Leblond, D.; Lütjens, H. Plasma Physics and Controlled Fusion, Vol. 53, Issue 1 https://doi.org/10.1088/0741-3335/53/1/015011	journal	November 2010
A finite-mass fluid electron simulation model for low-frequency electromagnetic waves in magnetized plasmas Liu, Dongjian; Chen, Liu Plasma Physics and Controlled Fusion, Vol. 53, Issue 6 https://doi.org/10.1088/0741-3335/53/6/062002	journal	April 2011
Characterization of off-axis fishbones Heidbrink, W. W.; Austin, M. E.; Fisher, R. K. Plasma Physics and Controlled Fusion, Vol. 53, Issue 8 https://doi.org/10.1088/0741-3335/53/8/085028	journal	July 2011
Non-resonant fishbone instabilities of q _min ≳ 1 in tokamak plasmas with weakly reversed magnetic shear Wang, Xian-Qu; Zhang, Rui-Bin; Qin, Liang Plasma Physics and Controlled Fusion, Vol. 56, Issue 9 https://doi.org/10.1088/0741-3335/56/9/095013	journal	July 2014
Global and Kinetic MHD Simulation by the Gpic-MHD Code Naitou, Hiroshi; Yamada, Yusuke; Kajiwara, Kenji Plasma Science and Technology, Vol. 13, Issue 5 https://doi.org/10.1088/1009-0630/13/5/04	journal	October 2011
Verification of Gyrokinetic Particle Simulation of Device Size Scaling of Turbulent Transport Ethier, S.; Hahm, T. S.; Tang, W. M. Plasma Science and Technology, Vol. 14, Issue 12 https://doi.org/10.1088/1009-0630/14/12/17	journal	December 2012
Internal Kink Modes in Toroidal Plasmas with Circular Cross Sections Bussac, M. N.; Pellat, R.; Edery, D. Physical Review Letters, Vol. 35, Issue 24 https://doi.org/10.1103/physrevlett.35.1638	journal	December 1975
Foundations of nonlinear gyrokinetic theory Brizard, A. J.; Hahm, T. S. Reviews of Modern Physics, Vol. 79, Issue 2 https://doi.org/10.1103/revmodphys.79.421	journal	April 2007
Turbulent Transport Reduction by Zonal Flows: Massively Parallel Simulations Lin, Z. Science, Vol. 281, Issue 5384 https://doi.org/10.1126/science.281.5384.1835	journal	September 1998
Stability of n = 1 internal modes in tokamaks Manickam, J. https://doi.org/10.2172/5471376	report	December 1983
Gyrokinetic simulation of internal kink modes Naitou, Hiroshi; Tsuda, Kenji; Lee, W. W. https://doi.org/10.2172/61212	report	May 1995
Drift Hamiltonian in magnetic coordinates White, R. B.; Boozer, A. H.; Hay, R. https://doi.org/10.2172/5258166	report	February 1982
Global gyrokinetic particle-in-cell simulations of internal kink instabilities Mishchenko, Alexey; Zocco, Alessandro arXiv https://doi.org/10.48550/arxiv.1209.5910	text	January 2012

Cited By (5)

Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. II. Resistive tearing mode Liu, Dongjian; Zhang, Wenlu; McClenaghan, Joseph Physics of Plasmas, Vol. 21, Issue 12 https://doi.org/10.1063/1.4905074	journal	December 2014
Nonlinear electromagnetic formulation for particle-in-cell simulation of lower hybrid waves in toroidal geometry Bao, J.; Lin, Z.; Kuley, A. Physics of Plasmas, Vol. 23, Issue 6 https://doi.org/10.1063/1.4952773	journal	June 2016
Global simulation of ion temperature gradient instabilities in a field-reversed configuration Bao, J.; Lau, C. K.; Lin, Z. Physics of Plasmas, Vol. 26, Issue 4 https://doi.org/10.1063/1.5087079	journal	April 2019
Kinetic particle simulations in a global toroidal geometry De, S.; Singh, T.; Kuley, A. Physics of Plasmas, Vol. 26, Issue 8 https://doi.org/10.1063/1.5108684	journal	August 2019
Reduced models for parallel magnetic field fluctuations and their impact on pressure gradient driven MHD instabilities in axisymmetric toroidal plasmas Graves, J. P.; Zullino, D.; Brunetti, D. Plasma Physics and Controlled Fusion, Vol. 61, Issue 10 https://doi.org/10.1088/1361-6587/ab368b	journal	August 2019

Similar Records

Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. I. Internal kink mode

Journal Article · Tue Dec 30 00:00:00 EST 2014 · Physics of Plasmas · OSTI ID:22403364

McClenaghan, J.; Lin, Z.; Holod, I.; +2 more

Verification of gyrokinetic particle simulation of current-driven instability in fusion plasmas. II. Resistive tearing mode

Journal Article · Mon Dec 15 00:00:00 EST 2014 · Physics of Plasmas · OSTI ID:22403364

Liu, Dongjian; Zhang, Wenlu; McClenaghan, Joseph; +2 more