Comparison of Vlasov solvers for spacecraft charging simulation
ESAIM: Modélisation mathématique et analyse numérique, Tome 44 (2010) no. 1, pp. 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.

DOI : 10.1051/m2an/2009042
Classification : 82D10, 65M25, 76X05, 78A35
Mots clés : Vlasov-Poisson equations, particles methods, finite volume methods, semi-lagrangian methods
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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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