Bremen 2017 – scientific programme
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P: Fachverband Plasmaphysik
P 6: Helmholtz Graduate School I
P 6.6: Poster
Monday, March 13, 2017, 16:30–18:30, HS Foyer
First numerical results towards a 3D MHD equilibrium solver via artificial relaxation mechanisms — •Camilla Bressan1,2, Michael Kraus1,2,3, Philip James Morrison1,4, Omar Maj1, and Eric Sonnendrücker1,2 — 1Max-Planck-Institute for Plasma Physics, Garching, Germany — 2Technical University of Munich, Mathematics Department, Garching, Germany — 3Waseda University, Tokyo, Japan — 4The University of Texas at Austin, Physics Department and Institute for Fusion Studies, USA
First numerical experiments on a novel method to compute ideal MHD equilibria are presented. The method is based on metriplectic dynamics, initially proposed by Morrison (Physica D,18,410-419(1986)), and relies on the Hamiltonian structure of the MHD equations. Essentially, it consists in a relaxation method which is capable of dissipating selected functionals and norms of the MHD variables. As all relaxation methods, the approach does not suffer from topological restrictions (determined by the assumption of nested flux surfaces employed e.g. in the VMEC code), and yet it allows more control over the relaxation mechanism, through the choice of the dissipated functional.
The work presented applies the method in simple 2D models and represents a first step to prove its validity. We claim that this could be a good candidate for an efficient 3D equilibrium code which can address Stellarators as well as Tokamaks whose 3D effects (namely islands and ripples) are increasingly important.