Verification of the global gyrokinetic stellarator code XGC-S for linear ion temperature gradient driven modes

Cole, M. D.  J.; Hager, R.; Moritaka, T.; Dominski, J.; Kleiber, R.; Ku, S.; Lazerson, S.; Riemann, J.; Chang, C. S.

doi:10.1063/1.5109259

Verification of the global gyrokinetic stellarator code XGC-S for linear ion temperature gradient driven modes

Journal Article · Thu Aug 01 00:00:00 EDT 2019 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.5109259· OSTI ID:1547057

^[1]; ^[1]; Moritaka, T. ^[2]; ^[1]; Kleiber, R. ^[3]; ^[1]; ^[1]; Riemann, J. ^[3]; ^[1]

Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
National Inst. for Fusion Science, Toki (Japan)
Max Planck Inst. for Plasma Physics, Greifswald (Germany)

XGC (X-point Gyrokinetic Code) is a whole-volume, total-f gyrokinetic particle-in-cell code developed for modeling tokamaks. Recently, XGC has been extended to model more general 3D toroidal magnetic configurations, such as stellarators. These improvements have concluded in the XGC-S version. In this paper, XGC-S is benchmarked in the reduced delta-f limit for linear electrostatic ion temperature gradient-driven microinstabilities, which can underlie turbulent transport in stellarators. An initial benchmark of XGC-S in tokamak geometry shows good agreement with the XGC1, ORB5, and global GENE codes. A benchmark between XGC-S and the EUTERPE global gyrokinetic code for stellarators has also been performed, here in the geometry of the optimized stellarator Wendelstein 7-X. Good agreement has been discovered for the mode number spectrum, mode structure, and growth rate.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE; National Energy Research Scientific Computing Center (NERSC)

Grant/Contract Number:: AC02-05CH11231; AC02-09CH11466

OSTI ID:: 1547057

Alternate ID(s):: OSTI ID: 1545962
OSTI ID: 1572702

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 26; ISSN 1070-664X

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

Country of Publication:: United States

Language:: English

References (34)

Stable stellarators with medium β and aspect ratio Nührenberg, J.; Zille, R. Physics Letters A, Vol. 114, Issue 3 https://doi.org/10.1016/0375-9601(86)90539-6	journal	February 1986
A new hybrid-Lagrangian numerical scheme for gyrokinetic simulation of tokamak edge plasma Ku, S.; Hager, R.; Chang, C. S. Journal of Computational Physics, Vol. 315 https://doi.org/10.1016/j.jcp.2016.03.062	journal	June 2016
A fully non-linear multi-species Fokker–Planck–Landau collision operator for simulation of fusion plasma Hager, Robert; Yoon, E. S.; Ku, S. Journal of Computational Physics, Vol. 315 https://doi.org/10.1016/j.jcp.2016.03.064	journal	June 2016
Gyrokinetic global three-dimensional simulations of linear ion-temperature-gradient modes in Wendelstein 7-X Kornilov, V.; Kleiber, R.; Hatzky, R. Physics of Plasmas, Vol. 11, Issue 6 https://doi.org/10.1063/1.1737393	journal	June 2004
Collisionless microinstabilities in stellarators. II. Numerical simulations Proll, J. H. E.; Xanthopoulos, P.; Helander, P. Physics of Plasmas, Vol. 20, Issue 12 https://doi.org/10.1063/1.4846835	journal	December 2013
Comprehensive magnetohydrodynamic hybrid simulations of fast ion driven instabilities in a Large Helical Device experiment Todo, Y.; Seki, R.; Spong, D. A. Physics of Plasmas, Vol. 24, Issue 8 https://doi.org/10.1063/1.4997529	journal	August 2017
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
A fast low-to-high confinement mode bifurcation dynamics in the boundary-plasma gyrokinetic code XGC1 Ku, S.; Chang, C. S.; Hager, R. Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5020792	journal	May 2018
Cross-verification of the global gyrokinetic codes GENE and XGC Merlo, G.; Dominski, J.; Bhattacharjee, A. Physics of Plasmas, Vol. 25, Issue 6 https://doi.org/10.1063/1.5036563	journal	June 2018
Comparative collisionless alpha particle confinement in stellarator reactors with the XGC gyrokinetic code Cole, M. D. J.; Hager, R.; Moritaka, T. Physics of Plasmas, Vol. 26, Issue 3 https://doi.org/10.1063/1.5085349	journal	March 2019
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
Recent advances in the LHD experiment Motojima, O.; Ohyabu, N.; Komori, A. Nuclear Fusion, Vol. 43, Issue 12 https://doi.org/10.1088/0029-5515/43/12/013	journal	December 2003
Full-f gyrokinetic particle simulation of centrally heated global ITG turbulence from magnetic axis to edge pedestal top in a realistic tokamak geometry Ku, S.; Chang, C. S.; Diamond, P. H. Nuclear Fusion, Vol. 49, Issue 11 https://doi.org/10.1088/0029-5515/49/11/115021	journal	September 2009
Core density turbulence in the HSX Stellarator Deng, C. B.; Brower, D. L.; Anderson, D. T. Nuclear Fusion, Vol. 55, Issue 12 https://doi.org/10.1088/0029-5515/55/12/123003	journal	October 2015
Advances in stellarator gyrokinetics Helander, P.; Bird, T.; Jenko, F. Nuclear Fusion, Vol. 55, Issue 5 https://doi.org/10.1088/0029-5515/55/5/053030	journal	April 2015
A comparative study of transport in stellarators and tokamaks Stroth, Ulrich Plasma Physics and Controlled Fusion, Vol. 40, Issue 1 https://doi.org/10.1088/0741-3335/40/1/002	journal	January 1998
BEAMS3D Neutral Beam Injection Model McMillan, Matthew; Lazerson, Samuel A. Plasma Physics and Controlled Fusion, Vol. 56, Issue 9 https://doi.org/10.1088/0741-3335/56/9/095019	journal	July 2014
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
Pedestal and edge electrostatic turbulence characteristics from an XGC1 gyrokinetic simulation Churchill, R. M.; Chang, C. S.; Ku, S. Plasma Physics and Controlled Fusion, Vol. 59, Issue 10 https://doi.org/10.1088/1361-6587/aa7c03	journal	August 2017
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
Major results from the first plasma campaign of the Wendelstein 7-X stellarator Wolf, R. C.; Ali, A.; Alonso, A. Nuclear Fusion, Vol. 57, Issue 10 https://doi.org/10.1088/1741-4326/aa770d	journal	July 2017
Neutral recycling effects on ITG turbulence Stotler, D. P.; Lang, J.; Chang, C. S. Nuclear Fusion, Vol. 57, Issue 8 https://doi.org/10.1088/1741-4326/aa7807	journal	July 2017
Overview of first Wendelstein 7-X high-performance operation Klinger, T.; Andreeva, T.; Bozhenkov, S. Nuclear Fusion, Vol. 59, Issue 11 https://doi.org/10.1088/1741-4326/ab03a7	journal	June 2019
On the effects of the equilibrium model in gyrokinetic simulations: from s- α to diverted MHD equilibrium Burckel, A.; Sauter, O.; Angioni, C. Journal of Physics: Conference Series, Vol. 260 https://doi.org/10.1088/1742-6596/260/1/012006	journal	November 2010
Resilience of Quasi-Isodynamic Stellarators against Trapped-Particle Instabilities Proll, J. H. E.; Helander, P.; Connor, J. W. Physical Review Letters, Vol. 108, Issue 24 https://doi.org/10.1103/PhysRevLett.108.245002	journal	June 2012
Controlling Turbulence in Present and Future Stellarators Xanthopoulos, P.; Mynick, H. E.; Helander, P. Physical Review Letters, Vol. 113, Issue 15 https://doi.org/10.1103/PhysRevLett.113.155001	journal	October 2014
Fast Low-to-High Confinement Mode Bifurcation Dynamics in a Tokamak Edge Plasma Gyrokinetic Simulation Chang, C. S.; Ku, S.; Tynan, G. R. Physical Review Letters, Vol. 118, Issue 17 https://doi.org/10.1103/PhysRevLett.118.175001	journal	April 2017
Stellarators Resist Turbulent Transport on the Electron Larmor Scale Plunk, G. G.; Xanthopoulos, P.; Weir, G. M. Physical Review Letters, Vol. 122, Issue 3 https://doi.org/10.1103/PhysRevLett.122.035002	journal	January 2019
Intrinsic Turbulence Stabilization in a Stellarator Xanthopoulos, P.; Plunk, G. G.; Zocco, A. Physical Review X, Vol. 6, Issue 2 https://doi.org/10.1103/PhysRevX.6.021033	journal	June 2016
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
Overview of first Wendelstein 7-X high-performance operation Klinger, T.; Andreeva, T.; Bozhenkov, Sergey Technische Universität Berlin https://doi.org/10.14279/depositonce-15100	text	January 2019
Development of a Gyrokinetic Particle-in-Cell Code for Whole-Volume Modeling of Stellarators Moritaka, Toseo; Hager, Robert; Cole, Michael Plasma, Vol. 2, Issue 2 https://doi.org/10.3390/plasma2020014	journal	May 2019
Collisionless microinstabilities in stellarators II - numerical simulations Proll, J. H. E.; Xanthopoulos, P.; Helander, P. arXiv https://doi.org/10.48550/arxiv.1311.3127	text	January 2013
Resilience of quasi-isodynamic stellarators against trapped-particle instabilities Proll, J. H. E.; Helander, P.; Connor, J. W. arXiv https://doi.org/10.48550/arxiv.1509.04185	text	January 2015