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Comparison of Vlasov solvers for 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 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.

Keywords

Vlasov-Poisson equationsparticles methodsfinite volume methodssemi-Lagrangian methods
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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