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Abstract of JOREK-HR Project

The non-linear MHD code JOREK has been developed to study the physics of Edge Localised Modes (ELMs) in tokamaks. The numerical simulation of ELMs ranks among the most difficult MHD problems in tokamaks due to the medium to high toroidal mode numbers and the localisation of the instability on the open and closed field lines around the separatrix. The JOREK code uses a finite element grid in the poloidal plane and Fourier harmonics in the toroidal direction. The code uses a fully implicit time evolution which leads to large matrices to be solved at every time step. Presently, the largest cases have up to 6 million degrees of freedom. A higher toroidal resolution is required for the resolution of the fine scale filaments that form during the ELM instability. The aim of this project is to allow the efficient and routine use of resolutions up to 20 million degrees of freedom.