Erlangen 2026 – scientific programme
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P: Fachverband Plasmaphysik
P 16: Poster Session Plasma Physics
P 16.70: Poster
Thursday, March 19, 2026, 13:45–15:45, Redoutensaal
Recent Advances in Efficient Preconditioning Techniques for 3D Nonlinear MHD Simulations in JOREK — •Patrik Rác1, Omar Maj1, Vandana Dwarka2, Eric Sonnendrücker1, and Matthias Hölzl1 — 1Max Planck Institute for Plasma Physics, Garching, Germany — 2Delft University of Technology, Delft, Netherlands
Enabling next-generation simulations of realistic magnetic confinement fusion devices is crucial for understanding and controlling large-scale plasma instabilities. JOREK is a leading simulation code that simulates plasma dynamics by solving the magnetohydrodynamic (MHD) equations in 3D toroidal geometry using a higher-order isoparametric finite element method in the poloidal plane and a spectral decomposition in the toroidal direction. To effectively address the rising computational demands linked to more detailed simulations, the code must exploit cutting-edge HPC systems in an optimal way to meet current and future needs. The linear systems arising in JOREK are large, sparse, and ill-conditioned. Thus, iterative solvers, such as GMRES, require optimized preconditioning to converge. Current preconditioning techniques rely on the direct factorization of sub-blocks corresponding to the toroidal modes of the global system. However, this approach limits scalability, performance, and portability to accelerated systems. We present recent developments in preconditioning methods for the iterative solution of the reduced MHD models in JOREK. Current research focuses, in particular, on deflation-based methods and novel multiphysics block and equation splitting approaches.
Keywords: MHD; Plasma Physics; Preconditioning; Numerics