| Issue |
ESAIM: M2AN
Volume 44, Number 1, January-February 2010
|
|
|---|---|---|
| Page(s) | 109 - 131 | |
| DOI | https://doi.org/10.1051/m2an/2009042 | |
| Published online | 16 December 2009 | |
Comparison of Vlasov solvers for spacecraft charging simulation
1
Project-Team SIMPAF,
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. vauchelet@ann.jussieu.fr
3
Thales Alenia Space, 100 bd. du Midi, 06156
Cannes La Bocca Cedex, France. jean-paul.dudon@thalesaleniaspace.com
4
Laboratoire Paul Painlevé UMR 8524
CNRS–Université des Sciences et Technologies de Lille, France. christophe.besse@univ-lille1.fr; thierry.goudon@inria.fr
Received:
15
November
2008
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
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.