Volume 44, Number 1, January-February 2010
|Page(s)||109 - 131|
|Published online||16 December 2009|
Comparison of Vlasov solvers for spacecraft charging simulation
INRIA Lille Nord Europe Research Centre, 40 Avenue Halley, Park
Plazza, 59650 Villeneuve D'Ascq, France.
2 Current address: Laboratoire Jacques-Louis Lions, UMR 7598, UPMC, Université Paris 6, 75005 Paris, France. firstname.lastname@example.org
3 Thales Alenia Space, 100 bd. du Midi, 06156 Cannes La Bocca Cedex, France. email@example.com
4 Laboratoire Paul Painlevé UMR 8524 CNRS–Université des Sciences et Technologies de Lille, France. firstname.lastname@example.org; email@example.com
Revised: 7 May 2009
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.
Mathematics Subject Classification: 82D10 / 65M25 / 76X05 / 78A35
Key words: Vlasov-Poisson equations / particles methods / finite volume methods / semi-Lagrangian methods
© EDP Sciences, SMAI, 2009
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