Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson
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 G...
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2016-03-01
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Online Access: | http://dx.doi.org/10.1051/proc/201653008 |
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doaj-2d3d1d85de4840a18eb7937dda7774952021-07-15T14:11:56ZengEDP SciencesESAIM: Proceedings and Surveys2267-30592016-03-015312013210.1051/proc/201653008proc165308Lagrangian/Eulerian solvers and simulations for Vlasov-PoissonGuisset SebastienGutnic MichaelHelluy PhilippeMassaro Michel0Navoret LaurentPham NhungRoberts MalcolmIRMA, UMR 7501, Univ. de Strasbourg et CNRSWe 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.http://dx.doi.org/10.1051/proc/201653008 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Guisset Sebastien Gutnic Michael Helluy Philippe Massaro Michel Navoret Laurent Pham Nhung Roberts Malcolm |
spellingShingle |
Guisset Sebastien Gutnic Michael Helluy Philippe Massaro Michel Navoret Laurent Pham Nhung Roberts Malcolm Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson ESAIM: Proceedings and Surveys |
author_facet |
Guisset Sebastien Gutnic Michael Helluy Philippe Massaro Michel Navoret Laurent Pham Nhung Roberts Malcolm |
author_sort |
Guisset Sebastien |
title |
Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson |
title_short |
Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson |
title_full |
Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson |
title_fullStr |
Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson |
title_full_unstemmed |
Lagrangian/Eulerian solvers and simulations for Vlasov-Poisson |
title_sort |
lagrangian/eulerian solvers and simulations for vlasov-poisson |
publisher |
EDP Sciences |
series |
ESAIM: Proceedings and Surveys |
issn |
2267-3059 |
publishDate |
2016-03-01 |
description |
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. |
url |
http://dx.doi.org/10.1051/proc/201653008 |
work_keys_str_mv |
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1721300222997430272 |