Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson
ESAIM. Proceedings, Tome 53 (2016), pp. 120-132
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We construct a hyperbolic approximation of the Vlasov equation using a method of reduction [10, 14, 22] in which the dependency on the velocity variable is removed. The reduction relies on a semi-discrete finite element approximation in the velocity variable. We apply Gauss-Lobatto numerical integration in velocity space, reducing the hyperbolic system to a system of transport equations for which the transport velocities are the Gauss-Lobatto points. The transport equations are coupled through a zero-order term that represents the electromagnetic forces. We solve the resulting system by a splitting approach: the homogeneous transport equations are solved by a split semi-Lagrangian method and the source term is applied independently. We also present preliminary comparisons with another transport solver based on the discontinuous Galerkin method.
Affiliations des auteurs :
Sebastien Guisset 1, 2 ; Michael Gutnic 3, 4 ; Philippe Helluy 3, 4 ; Michel Massaro 4 ; Laurent Navoret 3, 4 ; Nhung Pham 3, 4 ; Malcolm Roberts 3, 4
@article{EP_2016_53_a8,
author = {Sebastien Guisset and Michael Gutnic and Philippe Helluy and Michel Massaro and Laurent Navoret and Nhung Pham and Malcolm Roberts},
title = {Lagrangian/Eulerian solvers and simulations for {Vlasov-Poisson}},
journal = {ESAIM. Proceedings},
pages = {120--132},
year = {2016},
volume = {53},
doi = {10.1051/proc/201653008},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201653008/}
}
TY - JOUR AU - Sebastien Guisset AU - Michael Gutnic AU - Philippe Helluy AU - Michel Massaro AU - Laurent Navoret AU - Nhung Pham AU - Malcolm Roberts TI - Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson JO - ESAIM. Proceedings PY - 2016 SP - 120 EP - 132 VL - 53 UR - http://geodesic.mathdoc.fr/articles/10.1051/proc/201653008/ DO - 10.1051/proc/201653008 LA - en ID - EP_2016_53_a8 ER -
%0 Journal Article %A Sebastien Guisset %A Michael Gutnic %A Philippe Helluy %A Michel Massaro %A Laurent Navoret %A Nhung Pham %A Malcolm Roberts %T Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson %J ESAIM. Proceedings %D 2016 %P 120-132 %V 53 %U http://geodesic.mathdoc.fr/articles/10.1051/proc/201653008/ %R 10.1051/proc/201653008 %G en %F EP_2016_53_a8
Sebastien Guisset; Michael Gutnic; Philippe Helluy; Michel Massaro; Laurent Navoret; Nhung Pham; Malcolm Roberts. Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson. ESAIM. Proceedings, Tome 53 (2016), pp. 120-132. doi: 10.1051/proc/201653008
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