准中性附近弗拉索夫-麦克斯韦系统的隐含、渐近保全和能量电荷保全方法

IF 2.6 3区 物理与天体物理 Q1 PHYSICS, MATHEMATICAL Communications in Computational Physics Pub Date : 2024-04-01 DOI:10.4208/cicp.oa-2023-0133
Chuwen Ma, Shi Jin
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引用次数: 0

摘要

本文提出了一种隐式、渐近保留和能量电荷保留(APECC)粒子内胞(PIC)方法,用于求解准中性体系中的弗拉索夫-麦克斯韦(VM)方程。电荷守恒是通过粒子轨道平均化和固定子时间步长来实现的。进一步分析了取决于子时间步数的截断误差。采用 Crank-Nicolson 方法选择时间离散化,以精确保持离散能量。非线性系统渐近保全迭代的关键步骤是基于麦克斯韦模型源中 Vlasov 方程推导出的电流密度分解。此外,我们还证明了收敛性与准中性参数无关。广泛的数值实验表明,所提出的方法可以实现渐近保持和能量电荷守恒。
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An Implicit, Asymptotic-Preserving and Energy-Charge-Conserving Method for the Vlasov-Maxwell System Near Quasi-Neutrality
An implicit, asymptotic-preserving and energy-charge-conserving (APECC) Particle-In-Cell (PIC) method is proposed to solve the Vlasov-Maxwell (VM) equations in the quasi-neutral regime. Charge conservation is enforced by particle orbital averaging and fixed sub-time steps. The truncation error depending on the number of sub-time steps is further analyzed. The temporal discretization is chosen by the Crank-Nicolson method to conserve the discrete energy exactly. The key step in the asymptotic-preserving iteration for the nonlinear system is based on a decomposition of the current density deduced from the Vlasov equation in the source of the Maxwell model. Moreover, we show that the convergence is independent of the quasineutral parameter. Extensive numerical experiments show that the proposed method can achieve asymptotic preservation and energy-charge conservation.
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来源期刊
Communications in Computational Physics
Communications in Computational Physics 物理-物理:数学物理
CiteScore
4.70
自引率
5.40%
发文量
84
审稿时长
9 months
期刊介绍: Communications in Computational Physics (CiCP) publishes original research and survey papers of high scientific value in computational modeling of physical problems. Results in multi-physics and multi-scale innovative computational methods and modeling in all physical sciences will be featured.
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