Geodesic
Comparison of Vlasov solvers for spacecraft charging simulation
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 44 (2010) no. 1, pp. 109-131

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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
Keywords: Vlasov-Poisson equations, particles methods, finite volume methods, semi-lagrangian methods 
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     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 },
     pages = {109--131},
     publisher = {EDP-Sciences},
     volume = {44},
     number = {1},
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     doi = {10.1051/m2an/2009042},
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     zbl = {1193.82046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2009042/}
}
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Vauchelet, Nicolas; Dudon, Jean-Paul; Besse, Christophe; Goudon, Thierry. Comparison of Vlasov solvers for spacecraft charging simulation. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 44 (2010) no. 1, pp. 109-131. doi: 10.1051/m2an/2009042

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