Gyrokinetic electromagnetic particle simulations in triangular meshes with C1 finite elements

Zhixin Lu, Guo Meng, Roman Hatzky, Eric Sonnendrücker, Alexey Mishchenko, Jin Chen, Philipp Lauber, Fulvio Zonca, Matthias Hoelzl

2024 · Plasma Physics and Controlled Fusion · vol. 67 · no. 1 · pp. 015015 · IOP Publishing · 10.1088/1361-6587/ad9e72

Abstract

Abstract The triangular mesh-based gyrokinetic scheme enables comprehensive axis-to-edge studies across the entire plasma volume. Our approach employs triangular finite elements with first-derivative continuity (C1), building on previous work to facilitate gyrokinetic simulations. Additionally, we have adopted the mixed variable/pullback scheme for gyrokinetic electromagnetic particle simulations. The filter-free treatment in the poloidal cross-section with triangular meshes introduces unique features and challenges compared to previous treatments using structured meshes. Our implementation has been validated through benchmarks using ITPA-toroidicity-induced Alfvén eigenmode parameters, showing its capability in moderate to small electron skin depth regimes. Additional examinations using experimental parameters confirm its applicability to realistic plasma conditions.

BibTeX

@article{Lu_2024,
 title={Gyrokinetic electromagnetic particle simulations in triangular meshes with C1 finite elements},
 volume={67},
 ISSN={1361-6587},
 url={http://dx.doi.org/10.1088/1361-6587/ad9e72},
 DOI={10.1088/1361-6587/ad9e72},
 number={1},
 journal={Plasma Physics and Controlled Fusion},
 publisher={IOP Publishing},
 author={Lu, Zhixin and Meng, Guo and Hatzky, Roman and Sonnendrücker, Eric and Mishchenko, Alexey and Chen, Jin and Lauber, Philipp and Zonca, Fulvio and Hoelzl, Matthias},
 year={2024},
 month=dec,
 pages={015015} }