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High-order finite elements in tokamak free-boundary plasma equilibrium computations

Francesca Rapetti 1, 2 Blaise Faugeras 1, 2 Cedric Boulbe 1, 2 
2 CASTOR - Control, Analysis and Simulations for TOkamak Research
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné
Abstract : We wish to compute numerically the equilibrium for a hot plasma in a tokamak. For such a problem in an axisymmetric configuration, we present a non-overlapping mortar element approach, that couples piece-wise linear finite elements in a region that does not contain the plasma and reduced Hsieh-Clough-Tocher finite elements elsewhere, to approximate the magnetic flux field on a triangular mesh of the poloidal tokamak section. This approach has 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 and simplifying the inclusion of ferromagnetic parts.
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https://hal.archives-ouvertes.fr/hal-03423469
Contributor : Blaise Faugeras Connect in order to contact the contributor
Submitted on : Wednesday, November 10, 2021 - 10:07:28 AM
Last modification on : Thursday, August 4, 2022 - 4:58:37 PM
Long-term archiving on: : Friday, February 11, 2022 - 6:18:40 PM

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  • HAL Id : hal-03423469, version 1

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Francesca Rapetti, Blaise Faugeras, Cedric Boulbe. High-order finite elements in tokamak free-boundary plasma equilibrium computations. {date}. ⟨hal-03423469⟩

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