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Construction of Higher-order Curved Hermite-Bezier Finite elements.

Prof. Boniface Nkonga, Université Cote d’Azur, INRIA, CNRS, LJAD, Nice, France
Speaker
Prof. Boniface Nkonga, Université Cote d’Azur, INRIA, CNRS, LJAD, Nice, France
When Nov 14, 2022
from 02:00 PM to 03:00 PM
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For the international tokamak ITER under construction, non-linear MHD simulations play an essential role in active research, understanding, and prediction of tokamak plasmas for the realization of a fusion power plant. The development of MHD codes based on the high-order finite element is one of the vital aspects of this research effort. Furthermore, it provides invaluable insight into the plasma stability and the control of global and localized plasma events, like Edge-Localised-Mode and disruptions. This presentation will investigate the construction of field-aligned curved meshes based on B-spline reformulation, enforcing higher-order continuity when crossing patches. This reformulation is possible when the degree (N) of the B-Spline is odd: $N = 2n +1$. Continuity of level (n) is possible in this context. Simple applications will illustrate the capability of this strategy. Isoparametric finite element is beneficial for real applications (https://www.jorek.eu/).    The presentation will end with an application for Massive Mass Injection in tokamaks.

This is joint work with S. Pamela, A. Bhole and the JOREK team.

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