A new hybrid-Lagrangian numerical scheme for gyrokinetic simulation of tokamak edge plasma

Ku, S.; Hager, R.; Chang, C. S.; Kwon, J. M.; Parker, S. E.

doi:10.1016/j.jcp.2016.03.062

Title: A new hybrid-Lagrangian numerical scheme for gyrokinetic simulation of tokamak edge plasma

Journal Article · Fri Apr 01 00:00:00 EDT 2016 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2016.03.062· OSTI ID:1254687

^[1]; Hager, R. ^[1]; Chang, C. S. ^[1]; Kwon, J. M. ^[2]; Parker, S. E. ^[3]

Princeton Univ., Princeton, NJ (United States). Princeton Plasma Physics Lab.
National Fusion Research Institute (Republic of Korea)
Univ. of Colorado, Boulder, CO (United States)

In order to enable kinetic simulation of non-thermal edge plasmas at a reduced computational cost, a new hybrid-Lagrangian δf scheme has been developed that utilizes the phase space grid in addition to the usual marker particles, taking advantage of the computational strengths from both sides. The new scheme splits the particle distribution function of a kinetic equation into two parts. Marker particles contain the fast space-time varying, δf, part of the distribution function and the coarse-grained phase-space grid contains the slow space-time varying part. The coarse-grained phase-space grid reduces the memory-requirement and the computing cost, while the marker particles provide scalable computing ability for the fine-grained physics. Weights of the marker particles are determined by a direct weight evolution equation instead of the differential form weight evolution equations that the conventional delta-f schemes use. The particle weight can be slowly transferred to the phase space grid, thereby reducing the growth of the particle weights. The non-Lagrangian part of the kinetic equation – e.g., collision operation, ionization, charge exchange, heat-source, radiative cooling, and others – can be operated directly on the phase space grid. Deviation of the particle distribution function on the velocity grid from a Maxwellian distribution function – driven by ionization, charge exchange and wall loss – is allowed to be arbitrarily large. In conclusion, the numerical scheme is implemented in the gyrokinetic particle code XGC1, which specializes in simulating the tokamak edge plasma that crosses the magnetic separatrix and is in contact with the material wall.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Contributing Organization:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); National Fusion Research Institute, Republic of Korea; University of Colorado Boulder, USA

Grant/Contract Number:: AC02-09CH11466; SC000801; AC05-00OR22725

OSTI ID:: 1254687

Alternate ID(s):: OSTI ID: 1325288

Report Number(s):: PPPL-5212; PII: S0021999116300274

Journal Information:: Journal of Computational Physics, Vol. 315, Issue C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 58 works

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A tight-coupling scheme sharing minimum information across a spatial interface between gyrokinetic turbulence codes Dominski, J.; Ku, S.; Chang, C. -S. Physics of Plasmas, Vol. 25, Issue 7 https://doi.org/10.1063/1.5044707	journal	July 2018
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Verification of long wavelength electromagnetic modes with a gyrokinetic-fluid hybrid model in the XGC code Hager, Robert; Lang, Jianying; Chang, C. S. Physics of Plasmas, Vol. 24, Issue 5 https://doi.org/10.1063/1.4983320	journal	May 2017
Invited Review Article: Gas puff imaging diagnostics of edge plasma turbulence in magnetic fusion devices Zweben, S. J.; Terry, J. L.; Stotler, D. P. Review of Scientific Instruments, Vol. 88, Issue 4 https://doi.org/10.1063/1.4981873	journal	April 2017
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Analysis Of Equilibrium And Turbulent Fluxes Across The Separatrix In A Gyrokinetic Simulation [Supplementary Data] Charidakos, Ioannis Keramidas; Myra, James; Parker, Scott Zenodo-Supplementary information for journal article at DOI: 10.1063/1.5037723, 15 files (333.7 kB) https://doi.org/10.5281/zenodo.1230040	dataset	April 2018
Pressure balance in a lower collisionality, attached tokamak scrape-off layer Churchill, R. M.; Chang, C. S.; Ku, S. Nuclear Fusion, Vol. 59, Issue 9 https://doi.org/10.1088/1741-4326/ab2af9	journal	July 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
Full- f version of GENE for turbulence in open-field-line systems Pan, Q.; Told, D.; Shi, E. L. Physics of Plasmas, Vol. 25, Issue 6 https://doi.org/10.1063/1.5008895	journal	June 2018
Integrated Tokamak modeling: When physics informs engineering and research planning Poli, Francesca Maria Physics of Plasmas, Vol. 25, Issue 5 https://doi.org/10.1063/1.5021489	journal	May 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
Improved linearized model collision operator for the highly collisional regime Sugama, H.; Matsuoka, S.; Satake, S. Physics of Plasmas, Vol. 26, Issue 10 https://doi.org/10.1063/1.5115440	journal	October 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
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Analysis of equilibrium and turbulent fluxes across the separatrix in a gyrokinetic simulation Keramidas Charidakos, I.; Myra, J. R.; Parker, S. Physics of Plasmas, Vol. 25, Issue 7 https://doi.org/10.1063/1.5037723	journal	July 2018
Analysis Of Equilibrium And Turbulent Fluxes Across The Separatrix In A Gyrokinetic Simulation [Supplementary Data] Charidakos, Ioannis Keramidas; Myra, James; Parker, Scott Zenodo-Supplementary information for journal article at DOI: 10.1063/1.5037723, 15 files (333.7 kB) https://doi.org/10.5281/zenodo.1230039	dataset	April 2018
Gyrokinetic projection of the divertor heat-flux width from present tokamaks to ITER Chang, C. S.; Ku, S.; Loarte, A. arXiv https://doi.org/10.48550/arxiv.1701.05507	text	January 2017
Gyrokinetic continuum simulation of turbulence in a straight open-field-line plasma Shi, E. L.; Hammett, G. W.; Stoltzfus-Dueck, T. arXiv https://doi.org/10.48550/arxiv.1702.03052	text	January 2017
Gyroaveraging operations using adaptive matrix operators Dominski, Julien; Ku, Seung-Hoe; Chang, Choong-Seock arXiv https://doi.org/10.48550/arxiv.1802.09125	text	January 2018
Analysis of equilibrium and turbulent fluxes across the separatrix in a gyrokinetic simulation Charidakos, I. Keramidas; Myra, J. R.; Parker, S. arXiv https://doi.org/10.48550/arxiv.1804.10301	text	January 2018
A tight-coupling scheme sharing minimum information across a spatial interface between gyrokinetic turbulence codes Dominski, Julien; Ku, Seung-Hoe; Chang, Choong-Seock arXiv https://doi.org/10.48550/arxiv.1806.05251	text	January 2018
Electromagnetic full-$f$ gyrokinetics in the tokamak edge with discontinuous Galerkin methods Mandell, N. R.; Hakim, A.; Hammett, G. W. arXiv https://doi.org/10.48550/arxiv.1908.05653	text	January 2019

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Title: A new hybrid-Lagrangian numerical scheme for gyrokinetic simulation of tokamak edge plasma

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