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

arXiv · 2410.03928

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

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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-TAE (Toroidicity-induced Alfv\'en 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.

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BibTeX RIS

Zhixin Lu, Guo Meng, Roman Hatzky, Eric Sonnendrücker, Alexey Mishchenko, Jin Chen, Philipp Lauber, Fulvio Zonca, Matthias Hoelzl. 2024-10-04. Gyrokinetic Electromagnetic Particle Simulations in Triangular Meshes with C1 Finite Elements. https://arxiv.org/abs/2410.03928

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