Conservative numerical methods for a two-temperature resistive MHD model with self-generated magnetic field term

Wolff, Marc, Jaouen, Stéphane, and Imbert-Gérard, Lise-Marie. Cancès, E., et al, eds. "Conservative numerical methods for a two-temperature resistive MHD model with self-generated magnetic field term." ESAIM: Proceedings 32 (2011): 195-210. <http://eudml.org/doc/251254>.

@article{Wolff2011,
abstract = {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].},
author = {Wolff, Marc, Jaouen, Stéphane, Imbert-Gérard, Lise-Marie},
editor = {Cancès, E., Crouseilles, N., Guillard, H., Nkonga, B., Sonnendrücker, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {11},
pages = {195-210},
publisher = {EDP Sciences},
title = {Conservative numerical methods for a two-temperature resistive MHD model with self-generated magnetic field term},
url = {http://eudml.org/doc/251254},
volume = {32},
year = {2011},
}

TY - JOUR
AU - Wolff, Marc
AU - Jaouen, Stéphane
AU - Imbert-Gérard, Lise-Marie
AU - Cancès, E.
AU - Crouseilles, N.
AU - Guillard, H.
AU - Nkonga, B.
AU - Sonnendrücker, E.
TI - Conservative numerical methods for a two-temperature resistive MHD model with self-generated magnetic field term
JO - ESAIM: Proceedings
DA - 2011/11//
PB - EDP Sciences
VL - 32
SP - 195
EP - 210
AB - 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].
LA - eng
UR - http://eudml.org/doc/251254
ER -