Journal
COMPUTER PHYSICS COMMUNICATIONS
Volume 198, Issue -, Pages 47-58Publisher
ELSEVIER
DOI: 10.1016/j.cpc.2015.09.002
Keywords
Vlasov equation; Spectral methods; Multiscale simulations; Plasma physics
Funding
- Laboratory Directed Research and Development program (LDRD) under National Nuclear Security Administration of the U.S. Department of Energy by Los Alamos National Laboratory [DE-AC52-06NA25396]
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We describe a spectral method for the numerical solution of the Vlasov-Poisson system where the velocity space is decomposed by means of an Hermite basis, and the configuration space is discretized via a Fourier decomposition. The novelty of our approach is an implicit time discretization that allows exact conservation of charge, momentum and energy. The computational efficiency and the cost-effectiveness of this method are compared to the fully-implicit PIC method recently introduced by Markidis and Lapenta (2011) and Chen et al. (2011). The following examples are discussed: Langmuir wave, Landau damping, ion-acoustic wave, two-stream instability. The Fourier Hermite spectral method can achieve solutions that are several orders of magnitude more accurate at a fraction of the cost with respect to PIC. (C) 2015 Elsevier B.V. All rights reserved.
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