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Tokamak free-boundary plasma equilibrium computations in presence of non-linear materials

Abstract

We consider the axisymmetric formulation of the equilibrium problem for a hot plasma in a tokamak. We adopt a non-overlapping mortar element approach, that couples C0 piece-wise linear Lagrange finite elements in a region that does not contain the plasma and C1 piece-wise cubic reduced Hsieh-Clough-Tocher finite elements elsewhere, to approximate the magnetic flux field on a triangular mesh of the poloidal tokamak section. The inclusion of ferromagnetic parts is sim- plified by assuming that they fit within the axisymmetric modeling and a new formulation of the Newton algorithm for the problem solution is stated.
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Dates and versions

hal-03423469 , version 1 (10-11-2021)
hal-03423469 , version 2 (05-12-2022)

Identifiers

  • HAL Id : hal-03423469 , version 2

Cite

Cedric Boulbe, Blaise Faugeras, Francesca Rapetti. Tokamak free-boundary plasma equilibrium computations in presence of non-linear materials. 2022. ⟨hal-03423469v2⟩
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