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Comparison of Vlasov solversfor spacecraft charging simulation

Published online by Cambridge University Press:  16 December 2009

Nicolas Vauchelet,
Jean-Paul Dudon,
Christophe Besse and
Thierry Goudon
Nicolas Vauchelet
Affiliation:
Project-Team SIMPAF, INRIA Lille Nord Europe Research Centre, 40 Avenue Halley, Park Plazza, 59650 Villeneuve D'Ascq, France.Current address: Laboratoire Jacques-Louis Lions, UMR 7598, UPMC, Université Paris 6, 75005 Paris, France. vauchelet@ann.jussieu.fr
Jean-Paul Dudon
Affiliation:
Thales Alenia Space, 100 bd. du Midi, 06156 Cannes La Bocca Cedex, France. jean-paul.dudon@thalesaleniaspace.com
Christophe Besse
Affiliation:
Project-Team SIMPAF, INRIA Lille Nord Europe Research Centre, 40 Avenue Halley, Park Plazza, 59650 Villeneuve D'Ascq, France.Laboratoire Paul Painlevé UMR 8524 CNRS–Université des Sciences et Technologies de Lille, France. christophe.besse@univ-lille1.fr; thierry.goudon@inria.fr
Thierry Goudon
Affiliation:
Project-Team SIMPAF, INRIA Lille Nord Europe Research Centre, 40 Avenue Halley, Park Plazza, 59650 Villeneuve D'Ascq, France.Laboratoire Paul Painlevé UMR 8524 CNRS–Université des Sciences et Technologies de Lille, France. christophe.besse@univ-lille1.fr; thierry.goudon@inria.fr
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Abstract

The modelling and the numerical resolution of the electrical charging of aspacecraft 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.

Keywords

Vlasov-Poisson equationsparticles methodsfinite volume methodssemi-Lagrangian methods

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Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 44 , Issue 1 , January 2010, pp. 109 - 131
Copyright
© EDP Sciences, SMAI, 2009

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