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
1CEA, DAM, DIF, F-91297 Arpajon, France.
2Laboratoire JLL, UPMC, 4 place Jussieu, F-75005 Paris, France.
ESAIM. Proceedings, Tome 32 (2011), pp. 195-210
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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},
     year = {2011},
     volume = {32},
     doi = {10.1051/proc/2011021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/2011021/}
}
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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

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