Multiscale Particle-in-Cell methods and comparisons for the long-time two-dimensional Vlasov-Poisson equation with strong magnetic field

Nicolas Crouseilles 1, 2 Sever Hirstoaga 3, 4 Xiaofei Zhao 1, 2, *
* Auteur correspondant
2 IPSO - Invariant Preserving SOlvers
IRMAR - Institut de Recherche Mathématique de Rennes, Inria Rennes – Bretagne Atlantique
4 TONUS - TOkamaks and NUmerical Simulations
IRMA - Institut de Recherche Mathématique Avancée, Inria Nancy - Grand Est
Abstract : We applied different kinds of multiscale methods to numerically study the long-time Vlasov-Poisson equation with a strong magnetic field. The multiscale methods include an asymptotic preserving Runge-Kutta scheme, an exponential time differencing scheme, stroboscopic averaging method and a uniformly accurate two-scale formulation. We briefly review these methods and then adapt them to solve the Vlasov-Poisson equation under a Particle-in-Cell discretization. Extensive numerical experiments are conducted to investigate and compare the accuracy, efficiency, and long-time behavior of all the methods. The methods with the best performance under different parameter regimes are identified.
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Article dans une revue
Computer Physics Communications, Elsevier, 2018, 222, pp.136-151. 〈10.1016/j.cpc.2017.09.027〉
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Nicolas Crouseilles, Sever Hirstoaga, Xiaofei Zhao. Multiscale Particle-in-Cell methods and comparisons for the long-time two-dimensional Vlasov-Poisson equation with strong magnetic field. Computer Physics Communications, Elsevier, 2018, 222, pp.136-151. 〈10.1016/j.cpc.2017.09.027〉. 〈hal-01496854〉

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