期刊
NUCLEAR FUSION
卷 56, 期 1, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/0029-5515/56/1/014001
关键词
particle-in-cell simulations; Vlasov-Maxwell equations; canonical symplectic algorithm
资金
- ITER-China Program [2015GB111003, 2014GB124005, 2013GB111000]
- JSPS-NRF-NSFC A3 Foresight Program in the field of Plasma Physics [NSFC-11261140328]
- CAS Program for Interdisciplinary Collaboration Team
- Geo-Algorithmic Plasma Simulator (GAPS) project
- US Department of Energy [DE-AC02-09CH11466]
Particle-in-cell (PIC) simulation is the most important numerical tool in plasma physics. However, its long-term accuracy has not been established. To overcome this difficulty, we developed a canonical symplectic PIC method for the Vlasov-Maxwell system by discretising its canonical Poisson bracket. A fast local algorithm to solve the symplectic implicit time advance is discovered without root searching or global matrix inversion, enabling applications of the proposed method to very large-scale plasma simulations with many, e.g. 10(9), degrees of freedom. The long-term accuracy and fidelity of the algorithm enables us to numerically confirm Mouhot and Villani's theory and conjecture on nonlinear Landau damping over several orders of magnitude using the PIC method, and to calculate the nonlinear evolution of the reflectivity during the mode conversion process from extraordinary waves to Bernstein waves.
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