Comptes Rendus
no. 10-11
Theoretical and numerical approaches for Vlasov–Maxwell equations
Reduced Vlasov–Maxwell simulations
Philippe Helluy1  ; Laurent Navoret1  ; Nhung Pham1  ; Anaïs Crestetto2
1 IRMA, Université de Strasbourg & Inria TONUS, 7, rue René-Descartes, 67084 Strasbourg cedex, France
2 LMJL, Université de Nantes, 2, rue de la Houssinière, BP 92208, 44322 Nantes cedex 3, France
Comptes Rendus. Mécanique, Volume 342 (2014) no. 10-11, pp. 619-635.

In this paper we review two different numerical methods for Vlasov–Maxwell simulations. The first method is based on a coupling between a Discontinuous Galerkin (DG) Maxwell solver and a Particle-In-Cell (PIC) Vlasov solver. The second method only uses a DG approach for the Vlasov and Maxwell equations. The Vlasov equation is first reduced to a space-only hyperbolic system thanks to the finite-element method. The two numerical methods are implemented using OpenCL in order to achieve high performance on recent Graphic Processing Units (GPU).

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2014.06.008
Mots clés : Vlasov–Maxwell, Model reduction, Particle-In-Cell, Discontinuous Galerkin, GPU
Philippe Helluy 1 ; Laurent Navoret 1 ; Nhung Pham 1 ; Anaïs Crestetto 2

1 IRMA, Université de Strasbourg & Inria TONUS, 7, rue René-Descartes, 67084 Strasbourg cedex, France
2 LMJL, Université de Nantes, 2, rue de la Houssinière, BP 92208, 44322 Nantes cedex 3, France 
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Philippe Helluy; Laurent Navoret; Nhung Pham; Anaïs Crestetto. Reduced Vlasov–Maxwell simulations. Comptes Rendus. Mécanique, Volume 342 (2014) no. 10-11, pp. 619-635. doi : 10.1016/j.crme.2014.06.008. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.06.008/

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