RelSIM:细胞内粒子模拟的相对论半隐式方法

IF 8.6 1区 物理与天体物理 Q1 ASTRONOMY & ASTROPHYSICS Astrophysical Journal Supplement Series Pub Date : 2023-10-01 DOI:10.3847/1538-4365/acefba
Fabio Bacchini
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引用次数: 0

摘要

我们提出了一种新的相对论半隐式方法(RelSIM),用于天体物理等离子体的粒子胞内(PIC)模拟,并在准备生产运行的代码框架中实现。虽然显式PIC方法作为模拟等离子体现象的可靠工具在天体物理学界得到了广泛的认可,但隐式方法却很少被探索。这部分是由于缺乏适用于最先进模拟的可靠的相对论隐式PIC公式。我们提出了RelSIM来填补这一空白:我们的新方法相对简单,没有非线性迭代,只需要对场方程进行全局线性求解。通过一组一维和二维测试,我们证明了RelSIM产生的结果更准确,总能量的数值误差比标准显式PIC小得多,特别是当特征等离子体尺度(皮肤深度和等离子体频率)在数值网格上严重不足时。通过构造,RelSIM的性能也比最初提出的用于在相对论状态下进行半隐式PIC模拟的相对论隐矩方法要好得多。我们的研究结果有望对天体物理等离子体进行大规模(在持续时间和领域大小方面)PIC模拟,可能达到标准显式PIC代码无法达到的物理状态。
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RelSIM: A Relativistic Semi-implicit Method for Particle-in-cell Simulations
Abstract We present a novel Relativistic Semi-Implicit Method (RelSIM) for particle-in-cell (PIC) simulations of astrophysical plasmas, implemented in a code framework ready for production runs. While explicit PIC methods have gained widespread recognition in the astrophysical community as a reliable tool to simulate plasma phenomena, implicit methods have been seldom explored. This is partly due to the lack of a reliable relativistic implicit PIC formulation that is applicable to state-of-the-art simulations. We propose the RelSIM to fill this gap: our new method is relatively simple, being free of nonlinear iterations and only requiring a global linear solve of the field equations. With a set of one- and two-dimensional tests, we demonstrate that the RelSIM produces more accurate results with much smaller numerical errors in the total energy than standard explicit PIC, in particular when characteristic plasma scales (skin depth and plasma frequency) are heavily underresolved on the numerical grid. By construction, the RelSIM also performs much better than the relativistic implicit-moment method, originally proposed for semi-implicit PIC simulations in the relativistic regime. Our results are promising to conduct large-scale (in terms of duration and domain size) PIC simulations of astrophysical plasmas, potentially reaching physical regimes inaccessible by standard explicit PIC codes.
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来源期刊
Astrophysical Journal Supplement Series
Astrophysical Journal Supplement Series 地学天文-天文与天体物理
CiteScore
14.50
自引率
5.70%
发文量
264
审稿时长
2 months
期刊介绍: The Astrophysical Journal Supplement (ApJS) serves as an open-access journal that publishes significant articles featuring extensive data or calculations in the field of astrophysics. It also facilitates Special Issues, presenting thematically related papers simultaneously in a single volume.
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