Comptes Rendus
no. 10-11
Theoretical and numerical approaches for Vlasov–Maxwell equations
Modeling of relativistic plasmas with the Particle-In-Cell method
Jean-Luc Vay1  ; Brendan B. Godfrey1, 2
1 Lawrence Berkeley National Laboratory, Berkeley, CA, USA
2 University of Maryland, College Park, MD, USA
Comptes Rendus. Mécanique, Volume 342 (2014) no. 10-11, pp. 610-618.

Standard methods employed in relativistic electromagnetic Particle-In-Cell codes are reviewed, as well as novel techniques that were introduced recently. Advances in the analysis and mitigation of the numerical Cherenkov instability are also presented with comparison between analytical theory and numerical experiments. The algorithmic and numerical analytic advances are expanding the range of applicability of the method in the ultra-relativistic regime in particular, where the numerical Cherenkov instability is the strongest without corrective measures.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crme.2014.07.006
Mots clés : Particle-In-Cell, Plasma simulation, Special relativity, Numerical instability
Jean-Luc Vay 1 ; Brendan B. Godfrey 1, 2

1 Lawrence Berkeley National Laboratory, Berkeley, CA, USA
2 University of Maryland, College Park, MD, USA 
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Jean-Luc Vay; Brendan B. Godfrey. Modeling of relativistic plasmas with the Particle-In-Cell method. Comptes Rendus. Mécanique, Volume 342 (2014) no. 10-11, pp. 610-618. doi : 10.1016/j.crme.2014.07.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.07.006/

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