Volume 53, March 2016CEMRACS 2014 – Numerical Modeling of Plasmas
|77 - 98
|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: email@example.com
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 Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.