Geodesic
Anisotropic Diffusion in Toroidal geometries
Ahmed Ratnani1 ; Emmanuel Franck2 ; Boniface Nkonga3 ; Alina Eksaeva4 ; Maria Kazakova5
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
ESAIM. Proceedings, Tome 53 (2016), pp. 77-98.

Voir la notice de l'article provenant de la source EDP Sciences

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.
DOI : 10.1051/proc/201653006

Ahmed Ratnani 1 ; Emmanuel Franck 2 ; Boniface Nkonga 3 ; Alina Eksaeva 4 ; Maria Kazakova 5

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 
@article{EP_2016_53_a6,
     author = {Ahmed Ratnani and Emmanuel Franck and Boniface Nkonga and Alina Eksaeva and Maria Kazakova},
     title = {Anisotropic {Diffusion} in {Toroidal} geometries},
     journal = {ESAIM. Proceedings},
     pages = {77--98},
     publisher = {mathdoc},
     volume = {53},
     year = {2016},
     doi = {10.1051/proc/201653006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201653006/}
}
TY  - JOUR
AU  - Ahmed Ratnani
AU  - Emmanuel Franck
AU  - Boniface Nkonga
AU  - Alina Eksaeva
AU  - Maria Kazakova
TI  - Anisotropic Diffusion in Toroidal geometries
JO  - ESAIM. Proceedings
PY  - 2016
SP  - 77
EP  - 98
VL  - 53
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/201653006/
DO  - 10.1051/proc/201653006
LA  - en
ID  - EP_2016_53_a6
ER  - 
%0 Journal Article
%A Ahmed Ratnani
%A Emmanuel Franck
%A Boniface Nkonga
%A Alina Eksaeva
%A Maria Kazakova
%T Anisotropic Diffusion in Toroidal geometries
%J ESAIM. Proceedings
%D 2016
%P 77-98
%V 53
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/201653006/
%R 10.1051/proc/201653006
%G en
%F EP_2016_53_a6
Ahmed Ratnani; Emmanuel Franck; Boniface Nkonga; Alina Eksaeva; Maria Kazakova. Anisotropic Diffusion in Toroidal geometries. ESAIM. Proceedings, Tome 53 (2016), pp. 77-98. doi : 10.1051/proc/201653006. http://geodesic.mathdoc.fr/articles/10.1051/proc/201653006/

Cité par Sources :