Anisotropic Diffusion in Toroidal geometries

Abstract : In this work, we present a new Finite Element framework for toroidal geometries based on a tensor product description of the 3D basis functions. In the poloidal plan, different discretizations, including B-Splines and cubic Hermite-Bézier patchs are defined, while for the toroidal direction both Fourier discretization and cubic Hermite-Bézier elements can be used. In this work, we study the MHD equilibrium by solving the Grad-Shafranov equation, which is the basis and the starting point of any MHD simulation. Then we study the Anistropic Diffusion problem in both steady and unsteady states.
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Ahmed Ratnani, B Nkonga, Emmanuel Franck, Alina Eksaeva, Maria Kazakova. Anisotropic Diffusion in Toroidal geometries. ESAIM: Proceedings and Surveys, EDP Sciences, 2016, ⟨10.105201653006⟩. ⟨hal-01120692⟩

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