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Theses

Variational Multi-Scale stabilized finite elements for the magnetohydrodynamic models of fusion plasmas

Abstract : The main objective of this thesis concerns the implementation of a robuststabilized finite element method for simulating fusion plasmas. For that, we firstderive the magnetohydrodynamic models from the kinetic model. MHD modelsare generally used for macroscopic simulations of plasma instabilities. Weconcentrate ou efforts on the full MHD model. Next, the numerical approach isdescribed in the context of the Variational Multi-Scale (VMS) stabilization. Thisstabilization comes to add a term to the weak formulation to mimics the effectsof the unresolved scales over the coarse scales. If the effects of these subscalesare not taken into account when dealing with fluxes dominated byconvection, as it is the cases for fusion plasmas, the numerical scheme canlead to unphysical results. A detailed study of the resistive internal kinkinstability has been done as well as an introductory study of the so called Xpointplasmas in order to validate the numerical scheme developed here
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José Tarcisio Costa. Variational Multi-Scale stabilized finite elements for the magnetohydrodynamic models of fusion plasmas. Other. Université Côte d'Azur, 2016. English. ⟨NNT : 2016AZUR4117⟩. ⟨tel-01419260v2⟩

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