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arXiv 2012.00881physics.plasm-phphysics.comp-ph
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WAND-PIC:一个加速的三维准静态粒子网格程序

WAND-PIC: an accelerated three-dimensional quasi-static particle-in-cell code

Tianhong Wang, Vladimir Khudik, Jihoon Kim, Gennady Shvets

摘要:

我们介绍了一个准静态的粒子在细胞(PIC)的代码- WAND-PIC -它不遭受一些常见的限制,许多准静态的PIC,如需要一个预测校正方法在解决电磁场。在准静态(QS)近似下导出了场方程,得到了横向等离子体电流的时间导数的显式表达式。在此基础上,不使用预测-校正方法就可以精确求解磁场方程。算法设计和代码结构大大简化。借助显式准静态方程和自适应步长,可以有效地模拟由大束流电荷驱动的等离子体气泡,而不会遭受与预测-校正方法相关的数值不稳定性。此外,WAND-PIC还能够通过子循环的方法模拟高频激光场与光束粒子之间复杂的相互作用。WAND-PIC和第一原理全PIC程序(VLPL)之间的比较。WAND-PIC是开源的,完全三维的,并与内部多重网格求解器并行。可扩展性,时间复杂度和并行化效率高达数千个核心也讨论了这项工作。

英文摘要:

We introduce a quasi-static particle-in-cell (PIC) code -- WAND-PIC -- which does not suffer from some of the common limitations of many quasi-static PICs, such as the need for a predictor-corrector method in solving electromagnetic fields. We derive the field equations under quasi-static (QS) approximation and find the explicit form of the "time" derivative of the transverse plasma current. After that, equations for the magnetic fields can be solved exactly without using the predictor-corrector method. Algorithm design and code structure are thus greatly simplified. With the help of explicit quasi-static equations and our adaptive step size, plasma bubbles driven by the large beam charges can be simulated efficiently without suffering from the numerical instabilities associated with the predictor-corrector method. In addition, WAND-PIC is able to simulate the sophisticated interactions between high-frequency laser fields and beam particles through the method of sub-cycling. Comparisons between the WAND-PIC and a first-principle full PIC code (VLPL) are presented. WAND-PIC is open-source, fully three-dimensional, and parallelized with the in-house multigrid solver. Scalability, time complexity, and parallelization efficiency up to thousands of cores are also discussed in this work.

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