FEMs on Composite Meshes for Tuning Plasma Equilibria in Tokamaks

Abstract : We rely on a combination of different finite element methods on composite meshes, for the simulation of axisymmetric plasma equilibria in tokamaks. One mesh with Cartesian quadrilaterals covers the burning chamber and one mesh with triangles discretizes the region outside the chamber. The two meshes overlap in a narrow region around the chamber. This approach gives the flexibility to achieve easily and at low cost higher order regularity for the approximation of the flux function in the area that is covered by the plasma, while preserving accurate meshing of the geometric details in the exterior. The continuity of the numerical solution across the boundary of each subdomain is enforced by a mortar-like projection. We show that higher order regularity is very beneficial to improve computational tools for tokamak research.
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Holger Heumann, Francesca Rapetti, Xiao Song. FEMs on Composite Meshes for Tuning Plasma Equilibria in Tokamaks. [Research Report] RR-9129, Inria & Université Nice Sophia Antipolis, CNRS, I3S, Sophia Antipolis, France. 2017, pp.1-21. ⟨hal-01659839⟩

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