Multiscale Particle-in-Cell methods and comparisons for the long-time two-dimensional Vlasov-Poisson equation with strong magnetic field - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Computer Physics Communications Année : 2018

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

Résumé

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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Dates et versions

hal-01496854 , version 1 (27-03-2017)

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Nicolas Crouseilles, Sever Adrian 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, 2018, 222, pp.136-151. ⟨10.1016/j.cpc.2017.09.027⟩. ⟨hal-01496854⟩
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