相对论粒子模拟中抑制数值Cherenkov不稳定性的时步相关力插值格式
Time-step dependent force interpolation scheme for suppressing numerical Cherenkov instability in relativistic particle-in-cell simulations
摘要：
本文提出了一种用于相对论粒子模拟的具有时间步长依赖性的分段多项式力插值格式--WT格式。WT格式消除了Courant条件允许的任意时间步长下的最低阶数值Cherenkov不稳定性（NCI）增长率。虽然高阶共振的NCI仍然存在，但数值试验表明，对于较小的时间步长，数值不稳定性的增长比使用先前研究中发现的最佳时间步长要慢得多。WT方案对于提高相对论PIC模拟的质量和灵活性是有效的。
英文摘要：
The WT scheme, a piecewise polynomial force interpolation scheme with time-step dependency, is proposed in this paper for relativistic particle-in-cell (PIC) simulations. The WT scheme removes the lowest order numerical Cherenkov instability (NCI) growth rate for arbitrary time steps allowed by the Courant condition. While NCI from higher order resonances is still present, the numerical tests show that for smaller time steps, the numerical instability grows much slower than using the optimal time step found in previous studies. The WT scheme is efficient for improving the quality and flexibility of relativistic PIC simulations.
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