An Explicit Symplectic Integration Scheme for Plasma Simulations
An Explicit Symplectic Integration Scheme for Plasma Simulations
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DOI：
10.1006/jcph.1993.1127
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发表时间：
1993-07
影响因子：
4.1
通讯作者：
J. Cary;I. Doxas
中科院分区：
文献类型：
--
作者：
J. Cary;I. Doxas
发展了一种描述自洽波粒相互作用的显式辛积分格式。积分器并没有把哈密顿量简单地分解成动力学部分和势部分。积分器产生准确的增长率，即使当的时间步长是等离子体频率的倒数的顺序时，温和的颠簸不稳定。与传统方案相比，这表示计算量减少了十倍。该积分器可推广到任意阶而不增加存储要求，但测试表明，当精度要求为百分之几时，二阶方法是最有效的。
An explicit symplectic integration scheme which describes the self-consistent wave particle interaction is developed. The integrator does not split the hamiltonian trivially into a kinetic and potential part. The integrator yields accurate growth rates for the gentle-bump instability even when the timestep is of the order of the inverse plasma frequency. This represents up to a tenfold reduction in computation compared to conventional schemes. The integrator is generalizable to arbitrary order without increase in storage requirements, but tests show that when the accuracy requirements are of the order of a few percent, the second-order method is the most efficient.