随机Vlasov方程的动态域半拉格朗日方法

IF 3.8 2区物理与天体物理 Q2 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Journal of Computational Physics Pub Date : 2025-09-01 DOI:10.1016/j.jcp.2025.114335

Jianbo Cui , Derui Sheng , Chenhui Zhang , Tau Zhou

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引用次数: 0

摘要

针对等离子体物理和天体物理中出现的输运噪声驱动的随机Vlasov方程，提出了一种动态域半拉格朗日方法。该方法将随机特征的体积保持特性与动态域自适应策略和重构过程相结合。与传统的求解随机问题的半拉格朗日方法相比，它大大减少了计算成本。此外，我们给出了所提方法的一阶收敛性分析，部分解决了[1]中关于随机Vlasov方程数值方法收敛阶的猜想。数值试验结果表明了该方法的良好性能。

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A dynamic domain semi-Lagrangian method for stochastic Vlasov equations

We propose a dynamic domain semi-Lagrangian method for stochastic Vlasov equations driven by transport noise, which arise in plasma physics and astrophysics. This method combines the volume-preserving property of stochastic characteristics with a dynamic domain adaptation strategy and a reconstruction procedure. It offers a substantial reduction in computational costs compared to the traditional semi-Lagrangian techniques for stochastic problems. Furthermore, we present the first-order convergence analysis of the proposed method, partially addressing the conjecture in [1] on the convergence order of numerical methods for stochastic Vlasov equations. Several numerical tests are provided to show good performance of the proposed method.

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来源期刊

Journal of Computational Physics 物理-计算机：跨学科应用

CiteScore

7.60

自引率

14.60%

发文量

763

审稿时长

5.8 months

期刊介绍： Journal of Computational Physics thoroughly treats the computational aspects of physical problems, presenting techniques for the numerical solution of mathematical equations arising in all areas of physics. The journal seeks to emphasize methods that cross disciplinary boundaries. The Journal of Computational Physics also publishes short notes of 4 pages or less (including figures, tables, and references but excluding title pages). Letters to the Editor commenting on articles already published in this Journal will also be considered. Neither notes nor letters should have an abstract.