A gauge-compatible Hamiltonian splitting algorithm for particle-in-cell simulations using finite element exterior calculus

被引：3
作者：
Glasser, Alexander S. [1 ,2 ]
Qin, Hong [1 ,2 ]
机构：
[1] Princeton Univ, Princeton Plasma Phys Lab, POB 451, Princeton, NJ 08543 USA
[2] Princeton Univ, Dept Astrophys Sci, Princeton, NJ 08544 USA
来源：
JOURNAL OF PLASMA PHYSICS | 2022年 / 88卷 / 02期
关键词：
plasma simulation; CHARGE CONSERVATION; PLASMA;
D O I：
10.1017/S0022377822000290
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
A particle-in-cell algorithm is derived with a canonical Poisson structure in the formalism of finite element exterior calculus. The resulting method belongs to the class of gauge-compatible splitting algorithms, which exactly preserve gauge symmetries and their associated conservation laws via the momentum map. We numerically demonstrate this time invariance of the momentum map and its usefulness in establishing precise initial conditions with a desired initial electric field and fixed background charge. The restriction of this canonical, finite element Poisson structure to the 1X2P 11/2-dimensional phase space is also considered and simulated numerically.
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页数：21
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