具有极限分辨率特性的 Vlasov-Poisson 特征映射方法

IF 2.6 3区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Communications in Computational Physics Pub Date : 2024-05-01 DOI:10.4208/cicp.oa-2024-0012

Philipp Krah,Xi-Yuan Yin,Julius Bergmann,Jean-Christophe Nave, Kai Schneider

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引用次数: 0

摘要

我们提出了一种高效的半拉格朗日特征映射方法，用于在粗网格上高精度地求解一维+一维 Vlasov-Poisson 方程。流图以数值方式演化，并在线性时间内获得指数分辨率。在空间和时间上显示了全局三阶收敛性，并评估了保存特性。作为基准，我们考虑了线性和非线性朗道阻尼和双流不稳定性。我们将结果与傅里叶伪谱方法和文献结果进行了比较。极端精细分辨率特征说明了该方法在核聚变等离子体模拟中有效处理细丝化的能力。

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A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties

We propose an efficient semi-Lagrangian characteristic mapping method for solving the one+one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The flow map is evolved numerically and exponential resolution in linear time is obtained. Global third-order convergence in space and time is shown and conservation properties are assessed. For benchmarking, we consider linear and nonlinear Landau damping and the two-stream instability. We compare the results with a Fourier pseudo-spectral method and results from the literature. The extreme fine-scale resolution features are illustrated showing the method’s capabilities to efficiently treat filamentation in fusion plasma simulations.

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来源期刊

Communications in Computational Physics 物理-物理：数学物理

CiteScore

4.70

自引率

5.40%

发文量

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.