Piecewise field-aligned finite element method for multi-mode nonlinear particle simulations in tokamak plasmas
Zhixin Lu, Guo Meng, Eric Sonnendrücker, Roman Hatzky, Alexey Mishchenko, Fulvio Zonca, Philipp Lauber, Matthias Hoelzl
Abstract
This paper presents a novel approach for simulating plasma instabilities in tokamak plasmas using the piecewise field-aligned finite element method in combination with the particle-in-cell method. Our method traditionally aligns the computational grid, but defines the basis functions in piecewise field-aligned coordinates to avoid grid deformation while naturally representing the field-aligned mode structures. This scheme is formulated and implemented numerically. It also applies to the unstructured triangular meshes in principle. We have conducted linear benchmark tests, which agree well with previous results and traditional schemes. Furthermore, multiple- $n$ simulations are also carried out as a proof of principle, demonstrating the efficiency of this scheme in nonlinear turbulence simulations within the framework of the finite element method.
BibTeX
@article{Lu_2025,
title={Piecewise field-aligned finite element method for multi-mode nonlinear particle simulations in tokamak plasmas},
volume={91},
ISSN={1469-7807},
url={http://dx.doi.org/10.1017/s0022377825000212},
DOI={10.1017/s0022377825000212},
number={2},
journal={Journal of Plasma Physics},
publisher={Cambridge University Press (CUP)},
author={Lu, Zhixin and Meng, Guo and Sonnendrücker, Eric and Hatzky, Roman and Mishchenko, Alexey and Zonca, Fulvio and Lauber, Philipp and Hoelzl, Matthias},
year={2025},
month=Mar }