Comparison of Vlasov solvers for spacecraft charging simulation
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 44 (2010) no. 1, p. 109-131

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.

Classification:  82D10,  65M25,  76X05,  78A35
Keywords: Vlasov-Poisson equations, particles methods, finite volume methods, semi-lagrangian methods
     author = {Vauchelet, Nicolas and Dudon, Jean-Paul and Besse, Christophe and Goudon, Thierry},
     title = {Comparison of Vlasov solvers for spacecraft charging simulation},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     publisher = {EDP-Sciences},
     volume = {44},
     number = {1},
     year = {2010},
     pages = {109-131},
     doi = {10.1051/m2an/2009042},
     zbl = {1193.82046},
     mrnumber = {2647755},
     language = {en},
     url = {}
Vauchelet, Nicolas; Dudon, Jean-Paul; Besse, Christophe; Goudon, Thierry. Comparison of Vlasov solvers for spacecraft charging simulation. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 44 (2010) no. 1, pp. 109-131. doi : 10.1051/m2an/2009042.

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