基于正则变量的动理学离子与无质量电子混合等离子体模型数值格式
Canonical variables based numerical schemes for hybrid plasma models with kinetic ions and massless electrons
AI总结：
本文针对动理学离子与无质量电子混合等离子体模型，提出基于正则变量的数值格式，比较两种规范下的等价表述，证明第二种表述及反对称括号构造的格式具有更优守恒性与更低噪声。
摘要：
我们研究了一种具有动理学离子和无质量电子的混合模型基于正则变量的数值格式。给出了该混合模型的两种等价表述，其中矢量势采用不同规范，分布函数依赖于正则动量（而非速度），正则动量与位置变量构成一对正则变量。分布函数采用粒子云网格方法处理，矢量势在有限元外微积分框架下用有限元方法离散。时间离散采用分裂方法。研究表明，第二种表述在数值上更优，且基于所提出的反对称括号构造的格式具有更好的守恒性质和更低的噪声，尽管可以使用滤波来改进第一种表述的格式。
英文摘要：
We study the canonical variables based numerical schemes of a hybrid model with kinetic ions and mass-less electrons. Two equivalent formulations of the hybrid model are presented with the vector potentials in different gauges and the distribution functions depending on canonical momentum (not velocity), which constitutes a pair of canonical variables with the position variable. Particle-in-cell methods are used for the distribution functions, and the vector potentials are discretized by the finite element methods in the framework of finite element exterior calculus. Splitting methods are used for the time discretizations. It is illustrated that the second formulation is numerically superior and the schemes constructed based on the anti-symmetric bracket proposed have better conservation properties and lower noise, although the filters can be used to improve the schemes of the first formulation.
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