Global gyrokinetic particle simulations of microturbulence in W7-X and LHD stellarators

Wang, H Y.; Holod, I.; Lin, Zhihong; Bao, Jian; Fu, Jing Yuan; Liu, Pengfei; Nicolau, Javier H.; Spong, Donald; Xiao, Yong

doi:10.1063/5.0014198

Global gyrokinetic particle simulations of microturbulence in W7-X and LHD stellarators

Journal Article · Thu Aug 13 00:00:00 EDT 2020 · Physics of Plasmas

DOI:https://doi.org/10.1063/5.0014198· OSTI ID:1657905

Wang, H Y. ^[1]; Holod, I. ^[2]; ^[3]; Bao, Jian ^[4]; Fu, Jing Yuan ^[5]; Liu, Pengfei ^[3]; ^[3]; ^[6]; ^[7]

Peking Univ., Beijing (China); Univ. of California, Irvine, CA (United States)
Univ. of California, Irvine, CA (United States); Max Planck Computing and Data Facility, Garching (Germany)
Univ. of California, Irvine, CA (United States)
Univ. of California, Irvine, CA (United States); Chinese Academy of Sciences (CAS), Beijing (China)
Peking Univ., Beijing (China)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Zhejiang Univ., Hangzhou (China)

Global gyrokinetic particle simulations of electrostatic ion temperature gradient (ITG) instability show that the most unstable eigenmode is localized to some magnetic fieldlines or discrete locations on the poloidal plane in the Wendelstein 7-X (W7-X) stellarator due to its mirror-like magnetic fields, which vary strongly in the toroidal direction and induce coupling of more toroidal harmonics (n) to form the linear eigenmode than in the Large Helical Device (LHD) stellarator. Nonlinear electrostatic simulation results show that self-generated zonal flows are the dominant saturation mechanism for the ITG instabilities in both the LHD and W7-X. Additionally, radial widths of the fluctuation intensity in both the LHD and W7-X are significantly broadened from the linear phase to the nonlinear phase due to turbulence spreading. Finally, nonlinear spectra in the W7-X are dominated by low-n harmonics, which can be generated both by nonlinear toroidal coupling of high-n harmonics and by linear toroidal coupling with large amplitude zonal flows due to the 3D equilibrium magnetic fields.

View Accepted Manuscript (DOE)

Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: China National Magnetic Confinement Fusion Science Program; China Scholarship Council (CSC); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC); USDOE Office of Science (SC), Fusion Energy Sciences (FES)

Grant/Contract Number:: AC02-05CH11231; AC05-00OR22725; SC0018270

OSTI ID:: 1657905

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 27; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (49)

Periodic quadratic spline interpolation Dubeau, François; Savoie, Jean Journal of Approximation Theory, Vol. 39, Issue 1 https://doi.org/10.1016/0021-9045(83)90070-9	journal	September 1983
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
Calculations of two-fluid magnetohydrodynamic axisymmetric steady-states Ferraro, N. M.; Jardin, S. C. Journal of Computational Physics, Vol. 228, Issue 20 https://doi.org/10.1016/j.jcp.2009.07.015	journal	November 2009
Ideal MHD Freidberg, Jeffrey P. https://doi.org/10.1017/CBO9780511795046	book	July 2014
Magnetic configuration effects on the Wendelstein 7-X stellarator Dinklage, A.; Beidler, C. D.; Helander, P. Nature Physics, Vol. 14, Issue 8 https://doi.org/10.1038/s41567-018-0141-9	journal	May 2018
Recent advances in the design of quasiaxisymmetric stellarator plasma configurations Reiman, A.; Ku, L.; Monticello, D. Physics of Plasmas, Vol. 8, Issue 5 https://doi.org/10.1063/1.1351826	journal	May 2001
Gyrokinetic calculations of the neoclassical radial electric field in stellarator plasmas Lewandowski, J. L. V.; Williams, J.; Boozer, A. H. Physics of Plasmas, Vol. 8, Issue 6 https://doi.org/10.1063/1.1370363	journal	June 2001
The Stellarator Concept Spitzer, Lyman Physics of Fluids, Vol. 1, Issue 4 https://doi.org/10.1063/1.1705883	journal	January 1958
Role of nonlinear toroidal coupling in electron temperature gradient turbulence Lin, Z.; Chen, L.; Zonca, F. Physics of Plasmas, Vol. 12, Issue 5 https://doi.org/10.1063/1.1894766	journal	May 2005
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
Reducing turbulent transport in toroidal configurations via shaping Mynick, H. E.; Pomphrey, N.; Xanthopoulos, P. Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3560591	journal	May 2011
Plasma equilibria with multiple ion species: Equations and algorithm Galeotti, L.; Barnes, D. C.; Ceccherini, F. Physics of Plasmas, Vol. 18, Issue 8 https://doi.org/10.1063/1.3625275	journal	August 2011
Zonal flows in stellarators in an ambient radial electric field Mishchenko, Alexey; Kleiber, Ralf Physics of Plasmas, Vol. 19, Issue 7 https://doi.org/10.1063/1.4737580	journal	July 2012
Effects of magnetic islands on drift wave instability Jiang, P.; Lin, Z.; Holod, I. Physics of Plasmas, Vol. 21, Issue 12 https://doi.org/10.1063/1.4903910	journal	December 2014
Gyrokinetic particle simulation of microturbulence for general magnetic geometry and experimental profiles Xiao, Yong; Holod, Ihor; Wang, Zhixuan Physics of Plasmas, Vol. 22, Issue 2 https://doi.org/10.1063/1.4908275	journal	February 2015
3D toroidal physics: Testing the boundaries of symmetry breakinga) Spong, Donald A. Physics of Plasmas, Vol. 22, Issue 5 https://doi.org/10.1063/1.4921255	journal	May 2015
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
Core radial electric field and transport in Wendelstein 7-X plasmas Pablant, N. A.; Langenberg, A.; Alonso, A. Physics of Plasmas, Vol. 25, Issue 2 https://doi.org/10.1063/1.4999842	journal	February 2018
Neoclassical transport benchmark of global full-f gyrokinetic simulation in stellarator configurations Matsuoka, Seikichi; Idomura, Yasuhiro; Satake, Shinsuke Physics of Plasmas, Vol. 25, Issue 2 https://doi.org/10.1063/1.5010071	journal	February 2018
Overview of the Wendelstein 7-X phase contrast imaging diagnostic Edlund, E. M.; Porkolab, M.; Huang, Z. Review of Scientific Instruments, Vol. 89, Issue 10 https://doi.org/10.1063/1.5038804	journal	October 2018
Global gyrokinetic simulation of microturbulence with kinetic electrons in the presence of magnetic island in tokamak Fang, K. S.; Lin, Z. Physics of Plasmas, Vol. 26, Issue 5 https://doi.org/10.1063/1.5096962	journal	May 2019
Verification of the global gyrokinetic stellarator code XGC-S for linear ion temperature gradient driven modes Cole, M. D. J.; Hager, R.; Moritaka, T. Physics of Plasmas, Vol. 26, Issue 8 https://doi.org/10.1063/1.5109259	journal	August 2019
A fully nonlinear characteristic method for gyrokinetic simulation Parker, S. E.; Lee, W. W. Physics of Fluids B: Plasma Physics, Vol. 5, Issue 1 https://doi.org/10.1063/1.860870	journal	January 1993
Plasma equilibrium with rational magnetic surfaces Boozer, Allen H. Physics of Fluids, Vol. 24, Issue 11 https://doi.org/10.1063/1.863297	journal	January 1981
Steepest-descent moment method for three-dimensional magnetohydrodynamic equilibria Hirshman, S. P. Physics of Fluids, Vol. 26, Issue 12 https://doi.org/10.1063/1.864116	journal	January 1983
Hamiltonian guiding center drift orbit calculation for plasmas of arbitrary cross section White, R. B.; Chance, M. S. Physics of Fluids, Vol. 27, Issue 10 https://doi.org/10.1063/1.864527	journal	January 1984
Three-dimensional toroidal equilibria and stability by a variational spectral method Lao, L. L.; Greene, J. M.; Wang, T. S. Physics of Fluids, Vol. 28, Issue 3 https://doi.org/10.1063/1.865056	journal	January 1985
Gyrokinetic particle simulation of neoclassical transport Lin, Z.; Tang, W. M.; Lee, W. W. Physics of Plasmas, Vol. 2, Issue 8 https://doi.org/10.1063/1.871196	journal	August 1995
Toroidally localized and nonlocalized ballooning instabilities in a stellarator Cuthbert, P.; Lewandowski, J. L. V.; Gardner, H. J. Physics of Plasmas, Vol. 5, Issue 8 https://doi.org/10.1063/1.873014	journal	August 1998
Physics issues in the design of high-beta, low-aspect-ratio stellarator experiments Neilson, G. H.; Reiman, A. H.; Zarnstorff, M. C. Physics of Plasmas, Vol. 7, Issue 5 https://doi.org/10.1063/1.874015	journal	May 2000
Current Status of Large Helical Device and Its Prospect for Deuterium Experiment Osakabe, M.; Takeiri, Y.; Morisaki, T. Fusion Science and Technology https://doi.org/10.1080/15361055.2017.1335145	journal	July 2017
Neoclassical transport optimization of LHD Murakami, S.; Wakasa, A.; Maa berg, H. Nuclear Fusion, Vol. 42, Issue 11 https://doi.org/10.1088/0029-5515/42/11/101	journal	September 2002
A new class of quasi-omnigenous configurations Isaev, M. Yu; Nührenberg, J.; Mikhailov, M. I. Nuclear Fusion, Vol. 43, Issue 10 https://doi.org/10.1088/0029-5515/43/10/007	journal	September 2003
Non-axisymmetric magnetic fields and toroidal plasma confinement Boozer, Allen H. Nuclear Fusion, Vol. 55, Issue 2 https://doi.org/10.1088/0029-5515/55/2/025001	journal	January 2015
Microturbulence in DIII-D tokamak pedestal. II. Electromagnetic instabilities Holod, I.; Fulton, D.; Lin, Z. Nuclear Fusion, Vol. 55, Issue 9 https://doi.org/10.1088/0029-5515/55/9/093020	journal	August 2015
Effect of resonant magnetic perturbations on microturbulence in DIII-D pedestal Holod, I.; Lin, Z.; Taimourzadeh, S. Nuclear Fusion, Vol. 57, Issue 1 https://doi.org/10.1088/0029-5515/57/1/016005	journal	October 2016
Physics design of a high-bbeta quasi-axisymmetric stellarator Reiman, A.; Fu, G.; Hirshman, S. Plasma Physics and Controlled Fusion, Vol. 41, Issue 12B https://doi.org/10.1088/0741-3335/41/12B/320	journal	December 1999
Effects of radial electric fields on linear ITG instabilities in W7-X and LHD Riemann, J.; Kleiber, R.; Borchardt, M. Plasma Physics and Controlled Fusion, Vol. 58, Issue 7 https://doi.org/10.1088/0741-3335/58/7/074001	journal	May 2016
Effects of magnetic islands on bootstrap current in toroidal plasmas Dong, G.; Lin, Z. Nuclear Fusion, Vol. 57, Issue 3 https://doi.org/10.1088/1741-4326/57/3/036009	journal	December 2016
Global linear gyrokinetic simulation of energetic particle-driven instabilities in the LHD stellarator Spong, D. A.; Holod, I.; Todo, Y. Nuclear Fusion, Vol. 57, Issue 8 https://doi.org/10.1088/1741-4326/aa7601	journal	June 2017
Reduction of Turbulent Transport with Zonal Flows Enhanced in Helical Systems Watanabe, T. -H.; Sugama, H.; Ferrando-Margalet, S. Physical Review Letters, Vol. 100, Issue 19 https://doi.org/10.1103/PhysRevLett.100.195002	journal	May 2008
Zonal Flow Dynamics and Control of Turbulent Transport in Stellarators Xanthopoulos, P.; Mischchenko, A.; Helander, P. Physical Review Letters, Vol. 107, Issue 24 https://doi.org/10.1103/PhysRevLett.107.245002	journal	December 2011
Stellarator Turbulence: Subdominant Eigenmodes and Quasilinear Modeling Pueschel, M. J.; Faber, B. J.; Citrin, J. Physical Review Letters, Vol. 116, Issue 8 https://doi.org/10.1103/PhysRevLett.116.085001	journal	February 2016
Isotope Effects on Trapped-Electron-Mode Driven Turbulence and Zonal Flows in Helical and Tokamak Plasmas Nakata, Motoki; Nunami, Masanori; Sugama, Hideo Physical Review Letters, Vol. 118, Issue 16 https://doi.org/10.1103/PhysRevLett.118.165002	journal	April 2017
Size Scaling of Turbulent Transport in Magnetically Confined Plasmas Lin, Z.; Ethier, S.; Hahm, T. S. Physical Review Letters, Vol. 88, Issue 19 https://doi.org/10.1103/PhysRevLett.88.195004	journal	April 2002
Dynamics of Zonal Flows in Helical Systems Sugama, H.; Watanabe, T. -H. Physical Review Letters, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevLett.94.115001	journal	March 2005
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
Comparative Study of Magnetic Field Configurations of LHD and CHS based on the Boundary Shape Analysis Okamura, Shoichi; Suzuki, Yasuhiro Plasma and Fusion Research, Vol. 6 https://doi.org/10.1585/pfr.6.2403048	journal	January 2011

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Global gyrokinetic particle simulations of microturbulence in W7-X and LHD stellarators

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