Geodesic
A 3D finite volume scheme for the simulation of edge plasma in Tokamaks
M. Bilanceri1 ; L. Combe1 ; H. Guillard1 ; B. Nkonga1 ; A. Sangam1
1 Inria Sophia-Antipolis 2004 Route des Lucioles, BP 93, 06902 Sophia-Antipolis Cedex and Univ. Nice Sophia Antipolis, LJAD, UMR 7351, 06100 Nice, France
ESAIM. Proceedings, Tome 43 (2013), pp. 164-179.

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A finite volume method in cylindrical coordinates for the simulation of the edge region in tokamaks is proposed. In contrast to standard methods, which require the projected form of the equations in curvilinear coordinates, a new method is proposed. This technique is based on the discretization on the vector form of the equations and then on the projection on the basis of the curvilinear system associated to each control volume. The proposed methodology has been validated on several simple test cases and applied on a 3D simulation of a reduced MHD model.
DOI : 10.1051/proc/201343011

M. Bilanceri 1 ; L. Combe 1 ; H. Guillard 1 ; B. Nkonga 1 ; A. Sangam 1

1 Inria Sophia-Antipolis 2004 Route des Lucioles, BP 93, 06902 Sophia-Antipolis Cedex and Univ. Nice Sophia Antipolis, LJAD, UMR 7351, 06100 Nice, France 
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     author = {M. Bilanceri and L. Combe and H. Guillard and B. Nkonga and A. Sangam},
     title = {A {3D} finite volume scheme for the simulation of edge plasma in {Tokamaks}},
     journal = {ESAIM. Proceedings},
     pages = {164--179},
     publisher = {mathdoc},
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     year = {2013},
     doi = {10.1051/proc/201343011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201343011/}
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M. Bilanceri; L. Combe; H. Guillard; B. Nkonga; A. Sangam. A 3D finite volume scheme for the simulation of edge plasma in Tokamaks. ESAIM. Proceedings, Tome 43 (2013), pp. 164-179. doi : 10.1051/proc/201343011. http://geodesic.mathdoc.fr/articles/10.1051/proc/201343011/

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