Erlangen 2026 – wissenschaftliches Programm
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P: Fachverband Plasmaphysik
P 16: Poster Session Plasma Physics
P 16.63: Poster
Donnerstag, 19. März 2026, 13:45–15:45, Redoutensaal
Algorithms and optimizations for global non-linear hybrid fluid-kinetic finite element stellarator simulations — •Luca Venerando Greco1, Matthias Hoelzl1, Guido Huijsmans2, and Edoardo Carrà1 — 1Max Planck Institute for Plasma Physics, Boltzmannstr. 2, 85748 Garching b. M., Germany — 2CEA, IRFM, F-13108 Saint-Paul-lez-Durance, France
Predictive modeling of stellarator plasmas is crucial for advancing nuclear fusion energy, yet it faces unique computational difficulties. One of the main challenges is accurately simulating the dynamics of specific particle species that are not well captured by fluid models, which necessitates the use of hybrid fluid-kinetic models. The non-axisymmetric geometry of stellarators fundamentally couples the toroidal Fourier modes, in contrast to what happens in tokamaks, requiring different numerical and computational treatment.
This work presents a novel, globally coupled projection scheme inside the JOREK finite element framework. The approach ensures a self-consistent and physically accurate transfer of kinetic markers to the fluid grid, effectively handling the complex 3D mesh by constructing and solving a unified linear system that encompasses all toroidal harmonics simultaneously. To manage the computational complexity of this coupling, the construction of the system's matrix is significantly accelerated using the Fast Fourier Transform (FFT). The efficient localization of millions of particles is made possible by implementing a 3D R-Tree spatial index, which supports this projection and ensures computational tractability at scale.
Keywords: Stellarator; HPC; Kinetics; Numerical Methods