Nyström type exponential integrators for strongly magnetized charged particle dynamics

IF 3.4 2区物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computer Physics Communications Pub Date : 2025-09-11 DOI:10.1016/j.cpc.2025.109848

Tri P. Nguyen , Ilon Joseph , Mayya Tokman

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Abstract

Solving for charged particle motion in electromagnetic fields (i.e. the particle pushing problem) is a computationally intensive component of particle-in-cell (PIC) methods for plasma physics simulations. This task is especially challenging when the plasma is strongly magnetized due numerical stiffness arising from the wide range of time scales between highly oscillatory gyromotion and long term macroscopic behavior. A promising approach to solve these problems is by a class of methods known as exponential integrators that can solve linear problems exactly and are A-stable. This work extends the standard exponential integration framework to derive Nyström-type exponential integrators that integrates the Newtonian equations of motion as a second-order differential equation directly. In particular, we derive second-order and third-order Nyström-type exponential integrators for strongly magnetized particle pushing problems. Numerical experiments show that the Nyström-type exponential integrators exhibit significant improvement in computation speed over the standard exponential integrators.

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Nyström型指数积分器强磁化带电粒子动力学

求解带电粒子在电磁场中的运动（即粒子推动问题）是等离子体物理模拟中粒子池（PIC）方法的计算密集型组成部分。当等离子体被强磁化时，由于高振荡回旋运动和长期宏观行为之间的大时间尺度范围所引起的数值刚度，这一任务尤其具有挑战性。解决这些问题的一个有希望的方法是通过一类被称为指数积分器的方法，它可以精确地解决线性问题，并且是A稳定的。这项工作扩展了标准指数积分框架，推导出Nyström-type指数积分器，将牛顿运动方程直接集成为二阶微分方程。特别地，我们导出了二阶和三阶Nyström-type指数积分器对于强磁化粒子推动问题。数值实验表明，Nyström-type指数积分器的计算速度比标准指数积分器有显著提高。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computer Physics Communications 物理-计算机：跨学科应用

CiteScore

12.10

自引率

3.20%

发文量

287

审稿时长

5.3 months

期刊介绍： The focus of CPC is on contemporary computational methods and techniques and their implementation, the effectiveness of which will normally be evidenced by the author(s) within the context of a substantive problem in physics. Within this setting CPC publishes two types of paper. Computer Programs in Physics (CPiP) These papers describe significant computer programs to be archived in the CPC Program Library which is held in the Mendeley Data repository. The submitted software must be covered by an approved open source licence. Papers and associated computer programs that address a problem of contemporary interest in physics that cannot be solved by current software are particularly encouraged. Computational Physics Papers (CP) These are research papers in, but are not limited to, the following themes across computational physics and related disciplines. mathematical and numerical methods and algorithms; computational models including those associated with the design, control and analysis of experiments; and algebraic computation. Each will normally include software implementation and performance details. The software implementation should, ideally, be available via GitHub, Zenodo or an institutional repository.In addition, research papers on the impact of advanced computer architecture and special purpose computers on computing in the physical sciences and software topics related to, and of importance in, the physical sciences may be considered.