| Issue |
ESAIM: Proc.
Volume 53, March 2016
CEMRACS 2014 – Numerical Modeling of Plasmas
|
|
|---|---|---|
| Page(s) | 77 - 98 | |
| DOI | https://doi.org/10.1051/proc/201653006 | |
| Published online | 01 April 2016 | |
Anisotropic Diffusion in Toroidal geometries*
1 Max-Planck Institute für
PlasmaPhysik, Garching, Munich
2 Inria Nancy Grand-Est &
IRMA, Strasbourg,
France
3 Laboratoire Jean Dieudonné,
Université Nice Sophia-Antipolis, Nice, France
4 Moscow Engineering & Physics
Institute MEPHI, Russia
5 Lavrentyev Institute of Hydrodynamics of SB RAS,
Russia
** Corresponding author: ahmed.ratnani@ipp.mpg.de
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 surfaces 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 anisotropic diffusion problem in both steady and unsteady states.
This work has been carried out within the framework of the EUROfusion Consortium and has received funding from the Euratom research and training programme 2014-2018 under grant agreement No 633053. The views and opinions expressed herein do not necessarily reflect those of the European Commission.
© EDP Sciences, SMAI 2016
This is an open access article distributed under the terms of the Creative
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properly cited.
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