A hybrid Eulerian-Lagrangian Vlasov method for nonlinear wave-particle interaction in weakly inhomogeneous magnetic field

IF 7.2 2区物理与天体物理 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Computer Physics Communications Pub Date : 2024-09-03 DOI:10.1016/j.cpc.2024.109362

Jiangshan Zheng , Ge Wang , Bo Li

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Abstract

We present a hybrid Eulerian-Lagrangian (HEL) Vlasov method for nonlinear resonant wave-particle interactions in weakly inhomogeneous magnetic field. The governing Vlasov equation is derived from a recently proposed resonance tracking Hamiltonian theory. It gives the evolution of the distribution function with a scale-separated Hamiltonian that contains the fast-varying coherent wave-particle interaction and slowly-varying motion about the resonance frame of reference. The hybrid scheme solves the fast-varying phase space evolution on Eulerian grid with an adaptive time step and then advances the slowly-varying dynamics by Lagrangian method along the resonance trajectory. We apply the HEL method to study the frequency chirping of whistler-mode chorus wave in the magnetosphere and the self-consistent simulations reproduce the chirping chorus wave and give high-resolution phase space dynamics of energetic particles at low computational cost. The scale-separated HEL approach could provide additional insights of the wave instabilities and wave-particle nonlinear coherence compared to the conventional Vlasov and particle-in-cell methods.

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弱不均匀磁场中非线性波粒相互作用的欧拉-拉格朗日混合 Vlasov 方法

我们提出了一种欧拉-拉格朗日混合（HEL）弗拉索夫方法，用于弱不均匀磁场中的非线性共振波粒相互作用。支配弗拉索夫方程是从最近提出的共振跟踪哈密顿理论中推导出来的。它给出了分布函数与尺度分离哈密顿的演化，后者包含快速变化的相干波粒相互作用和围绕共振参照系的慢速变化运动。混合方案在欧拉网格上以自适应时间步长求解快变相空间演化，然后用拉格朗日方法沿共振轨迹推进慢变动力学。我们将 HEL 方法用于研究磁层中啸模合声波的频率啁啾，自洽模拟再现了啁啾合声波，并以较低的计算成本给出了高能粒子的高分辨率相空间动力学。与传统的 Vlasov 方法和粒子入胞方法相比，尺度分离的 HEL 方法可以对波的不稳定性和波粒非线性相干性提供更多的见解。

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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.