Comparison of Vlasov solvers for spacecraft charging simulation

Nicolas Vauchelet; Jean-Paul Dudon; Christophe Besse; Thierry Goudon

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 44, Issue: 1, page 109-131
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Vauchelet, Nicolas, et al. "Comparison of Vlasov solvers for spacecraft charging simulation." ESAIM: Mathematical Modelling and Numerical Analysis 44.1 (2010): 109-131. <http://eudml.org/doc/250756>.

@article{Vauchelet2010,
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. },
author = {Vauchelet, Nicolas, Dudon, Jean-Paul, Besse, Christophe, Goudon, Thierry},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Vlasov-Poisson equations; particles methods; finite volume methods; semi-Lagrangian methods; Vlasov solvers; spacecraft electrical charging; Vlasov equation; semi-Lagrangian method; back-trajectory method},
language = {eng},
month = {3},
number = {1},
pages = {109-131},
publisher = {EDP Sciences},
title = {Comparison of Vlasov solvers for spacecraft charging simulation},
url = {http://eudml.org/doc/250756},
volume = {44},
year = {2010},
}

TY - JOUR
AU - Vauchelet, Nicolas
AU - Dudon, Jean-Paul
AU - Besse, Christophe
AU - Goudon, Thierry
TI - Comparison of Vlasov solvers for spacecraft charging simulation
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 44
IS - 1
SP - 109
EP - 131
AB - 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.
LA - eng
KW - Vlasov-Poisson equations; particles methods; finite volume methods; semi-Lagrangian methods; Vlasov solvers; spacecraft electrical charging; Vlasov equation; semi-Lagrangian method; back-trajectory method
UR - http://eudml.org/doc/250756
ER -

References

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