Jian Liu

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Canonical symplectic particle-in-cell method for long-term large-scale simulations of the Vlasov-Maxwell equations
Release time:2022-03-17  Hits:

DOI number: 10.1088/0029-5515/56/1/014001

Journal: Nuclear Fusion

Key Words: particle-in-cell simulations;Vlasov–Maxwell equations;canonical symplectic algorithm

Abstract: 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. 109, 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.

Co-author: Hong Qin,Jian Liu,Jianyuan Xiao,Ruili Zhang,Yang He,Yulei Wang,Yajuan Sun,Joshua W Burby,Leland Ellison,Yao Zhou

Discipline: Natural Science

Volume: 56

Issue: 1

Page Number: 014001

Translation or Not: no

Date of Publication: 2016-12-02

Included Journals: SCI

Links to published journals: http://dx.doi.org/10.1088/0029-5515/56/1/014001