Electromagnetic full$f$ gyrokinetics in the tokamak edge with discontinuous Galerkin methods
Abstract
We present an energyconserving discontinuous Galerkin scheme for the full $f$$ electromagnetic gyrokinetic system in the longwavelength limit. We use the symplectic formulation and solve directly for $$\unicode[STIX]{x2202}A_{\Vert }/\unicode[STIX]{x2202}t$ , the inductive component of the parallel electric field, using a generalized Ohm’s law derived directly from the gyrokinetic equation. Linear benchmarks are performed to verify the implementation and show that the scheme avoids the Ampère cancellation problem. We perform a nonlinear electromagnetic simulation in a helical openfieldline system as a rough model of the tokamak scrapeoff layer using parameters from the National Spherical Torus Experiment (NSTX). This is the first published nonlinear electromagnetic gyrokinetic simulation on open field lines. Comparisons are made to a corresponding electrostatic simulation.
 Authors:

 Princeton Univ., NJ (United States)
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Publication Date:
 Research Org.:
 Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
 Sponsoring Org.:
 USDOE
 OSTI Identifier:
 1660956
 Alternate Identifier(s):
 OSTI ID: 1668767
 Grant/Contract Number:
 FG0297ER25308; FC0208ER54966; AC0209CH11466
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of Plasma Physics
 Additional Journal Information:
 Journal Volume: 86; Journal Issue: 1; Journal ID: ISSN 00223778
 Publisher:
 Cambridge University Press
 Country of Publication:
 United States
 Language:
 English
 Subject:
 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
Citation Formats
Mandell, N. R., Hakim, A., Hammett, G. W., and Francisquez, M. Electromagnetic full$f$ gyrokinetics in the tokamak edge with discontinuous Galerkin methods. United States: N. p., 2020.
Web. doi:10.1017/s0022377820000070.
Mandell, N. R., Hakim, A., Hammett, G. W., & Francisquez, M. Electromagnetic full$f$ gyrokinetics in the tokamak edge with discontinuous Galerkin methods. United States. https://doi.org/10.1017/s0022377820000070
Mandell, N. R., Hakim, A., Hammett, G. W., and Francisquez, M. Mon .
"Electromagnetic full$f$ gyrokinetics in the tokamak edge with discontinuous Galerkin methods". United States. https://doi.org/10.1017/s0022377820000070. https://www.osti.gov/servlets/purl/1660956.
@article{osti_1660956,
title = {Electromagnetic full$f$ gyrokinetics in the tokamak edge with discontinuous Galerkin methods},
author = {Mandell, N. R. and Hakim, A. and Hammett, G. W. and Francisquez, M.},
abstractNote = {We present an energyconserving discontinuous Galerkin scheme for the full $f$ electromagnetic gyrokinetic system in the longwavelength limit. We use the symplectic formulation and solve directly for $\unicode[STIX]{x2202}A_{\Vert }/\unicode[STIX]{x2202}t$ , the inductive component of the parallel electric field, using a generalized Ohm’s law derived directly from the gyrokinetic equation. Linear benchmarks are performed to verify the implementation and show that the scheme avoids the Ampère cancellation problem. We perform a nonlinear electromagnetic simulation in a helical openfieldline system as a rough model of the tokamak scrapeoff layer using parameters from the National Spherical Torus Experiment (NSTX). This is the first published nonlinear electromagnetic gyrokinetic simulation on open field lines. Comparisons are made to a corresponding electrostatic simulation.},
doi = {10.1017/s0022377820000070},
journal = {Journal of Plasma Physics},
number = 1,
volume = 86,
place = {United States},
year = {2020},
month = {3}
}
Web of Science
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