The modelling and the numerical resolution of the electrical charging of a spacecraft in interaction with the Earth magnetosphere is considered. It involves the Vlasov-Poisson system, endowed with non standard boundary conditions. We discuss the pros and cons of several numerical methods for solving this system, using as benchmark a simple 1D model which exhibits the main difficulties of the original models.
Mots-clés : Vlasov-Poisson equations, particles methods, finite volume methods, semi-lagrangian methods
@article{M2AN_2010__44_1_109_0,
author = {Vauchelet, Nicolas and Dudon, Jean-Paul and Besse, Christophe and Goudon, Thierry},
title = {Comparison of {Vlasov} solvers for spacecraft charging simulation},
journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
pages = {109--131},
publisher = {EDP-Sciences},
volume = {44},
number = {1},
year = {2010},
doi = {10.1051/m2an/2009042},
mrnumber = {2647755},
zbl = {1193.82046},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2009042/}
}
TY - JOUR AU - Vauchelet, Nicolas AU - Dudon, Jean-Paul AU - Besse, Christophe AU - Goudon, Thierry TI - Comparison of Vlasov solvers for spacecraft charging simulation JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2010 SP - 109 EP - 131 VL - 44 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2009042/ DO - 10.1051/m2an/2009042 LA - en ID - M2AN_2010__44_1_109_0 ER -
%0 Journal Article %A Vauchelet, Nicolas %A Dudon, Jean-Paul %A Besse, Christophe %A Goudon, Thierry %T Comparison of Vlasov solvers for spacecraft charging simulation %J ESAIM: Modélisation mathématique et analyse numérique %D 2010 %P 109-131 %V 44 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2009042/ %R 10.1051/m2an/2009042 %G en %F M2AN_2010__44_1_109_0
Vauchelet, Nicolas; Dudon, Jean-Paul; Besse, Christophe; Goudon, Thierry. Comparison of Vlasov solvers for spacecraft charging simulation. ESAIM: Modélisation mathématique et analyse numérique, Tome 44 (2010) no. 1, pp. 109-131. doi : 10.1051/m2an/2009042. http://www.numdam.org/articles/10.1051/m2an/2009042/
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