Finite grid instability and spectral fidelity of the electrostatic Particle-In-Cell algorithm
Finite grid instability and spectral fidelity of the electrostatic Particle-In-Cell algorithm
复制标题
DOI：
10.1016/j.cpc.2016.05.021
复制
发表时间：
2015-08
期刊：
影响因子：
--
通讯作者：
Chengkun Huang;Y. Zeng;Y. Wang;Michael D. Meyers;S. Yi;B. Albright
中科院分区：
文献类型：
--
作者：
Chengkun Huang;Y. Zeng;Y. Wang;Michael D. Meyers;S. Yi;B. Albright
通过求解一维静电粒子胞内模型（PIC）中谱域单粒子水平和集体运动水平的动力学，研究了有限网格不稳定性（FGI）的起源. PIC模式的光谱保真度与底层物理系统或无网格模式进行了对比。从电荷沉积和场插值的系统频谱相位和振幅误差量化的PIC模型中使用的常见的粒子形状。通过分析和模拟表明，由于混叠空间模式的存在，相对于物理系统缺乏光谱保真度是PIC模型中FGI的主要原因。
The origin of the Finite Grid Instability (FGI) is studied by resolving the dynamics in the 1D electrostatic Particle-In-Cell (PIC) model in the spectral domain at the single particle level and at the collective motion level. The spectral fidelity of the PIC model is contrasted with the underlying physical system or the gridless model. The systematic spectral phase and amplitude errors from the charge deposition and field interpolation are quantified for common particle shapes used in the PIC models. It is shown through such analysis and in simulations that the lack of spectral fidelity relative to the physical system due to the existence of aliased spatial modes is the major cause of the FGI in the PIC model.