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Tokamak free-boundary plasma equilibrium computation using finite elements of class C0 and C1 within a mortar element approach

Authors
  • Elarif, Ali
  • Faugeras, Blaise
  • Rapetti, Francesca
Publication Date
Oct 01, 2020
Source
HAL-Descartes
Keywords
Language
English
License
Unknown
External links

Abstract

The numerical simulation of the equilibrium of the plasma in a tokamak as well as its self-consistent coupling with resistive diffusion should benefit from higher regularity of the approximation of the magnetic flux map. In this work, we propose a finite element approach on a triangular mesh of the poloidal section, that couples piece-wise linear finite elements in a region that does not contain the plasma and reduced Hsieh-Clough-Tocher finite elements elsewhere. This approach gives the flexibility to achieve easily and at low cost higher order regularity for the approximation of the flux function in the domain covered by the plasma, while preserving accurate meshing of the geometric details in the rest of the computational domain. The continuityof the numerical solution at the coupling interface is weakly enforced by mortar projection. A new technique for the computation of the geometrical coefficients is also presented.

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