Geodesic
Conservative numerical methods for a two-temperature resistive MHD model with self-generated magnetic field term
Marc Wolff1 ; Stéphane Jaouen1 ; Lise-Marie Imbert-Gérard2
1 CEA, DAM, DIF, F-91297 Arpajon, France.
2 Laboratoire JLL, UPMC, 4 place Jussieu, F-75005 Paris, France.
ESAIM. Proceedings, Tome 32 (2011), pp. 195-210.

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

We propose numerical methods on Cartesian meshes for solving the 2-D axisymmetric two-temperature resistivive magnetohydrodynamics equations with self-generated magnetic field and Braginskii’s [1] closures. These rely on a splitting of the complete system in several subsystems according to the nature of the underlying mathematical operator. The hyperbolic part is solved using conservative high-order dimensionally split Lagrange-remap schemes whereas semi-implicit diffusion operators have been developed for the thermal and resistive conduction equations. Source terms are treated explictly. Numerical results on the deceleration phase of an ICF implosion test problem are proposed, a benchmark which was initially proposed in [2].
DOI : 10.1051/proc/2011021

Marc Wolff 1 ; Stéphane Jaouen 1 ; Lise-Marie Imbert-Gérard 2

1 CEA, DAM, DIF, F-91297 Arpajon, France.
2 Laboratoire JLL, UPMC, 4 place Jussieu, F-75005 Paris, France. 
@article{EP_2011_32_a14,
     author = {Marc Wolff and St\'ephane Jaouen and Lise-Marie Imbert-G\'erard},
     title = {Conservative numerical methods for a two-temperature resistive {MHD} model with self-generated magnetic field term},
     journal = {ESAIM. Proceedings},
     pages = {195--210},
     publisher = {mathdoc},
     volume = {32},
     year = {2011},
     doi = {10.1051/proc/2011021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2011021/}
}
TY  - JOUR
AU  - Marc Wolff
AU  - Stéphane Jaouen
AU  - Lise-Marie Imbert-Gérard
TI  - Conservative numerical methods for a two-temperature resistive MHD model with self-generated magnetic field term
JO  - ESAIM. Proceedings
PY  - 2011
SP  - 195
EP  - 210
VL  - 32
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/2011021/
DO  - 10.1051/proc/2011021
LA  - en
ID  - EP_2011_32_a14
ER  - 
%0 Journal Article
%A Marc Wolff
%A Stéphane Jaouen
%A Lise-Marie Imbert-Gérard
%T Conservative numerical methods for a two-temperature resistive MHD model with self-generated magnetic field term
%J ESAIM. Proceedings
%D 2011
%P 195-210
%V 32
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/2011021/
%R 10.1051/proc/2011021
%G en
%F EP_2011_32_a14
Marc Wolff; Stéphane Jaouen; Lise-Marie Imbert-Gérard. Conservative numerical methods for a two-temperature resistive MHD model with self-generated magnetic field term. ESAIM. Proceedings, Tome 32 (2011), pp. 195-210. doi : 10.1051/proc/2011021. http://geodesic.mathdoc.fr/articles/10.1051/proc/2011021/

Cité par Sources :