论文标题
Landau碰撞操作员的多物种结构构成粒子离散化
Multispecies structure-preserving particle discretization of the Landau collision operator
论文作者
论文摘要
本文提出了一种新型的数值集成剂，用于建模动力学等离子体中的多种库仑碰撞。提出的方案提供了非线性Landau碰撞算子的能量，动量和阳性颗粒离散化，从而扩展了J.A.的作品。 Carrillo等人，《计算物理学杂志》，7，100066（2020）和E. Hirvijoki，血浆物理和受控融合，63，044003（2021）。通过数值和数值分析离散的时间保护属性，并针对不均匀温度放松，各向同性化和热化示例验证了有效的GPU平行化实现。结果与分析估计值一致，证实了能够再现物理学的方法。
This paper proposes a novel numerical integrator for modeling multispecies Coulomb collisions in kinetic plasmas. The proposed scheme provides an energy-, momentum-, and positivity-preserving particle discretization of the nonlinear Landau collision operator, extending the works of J.A. Carrillo et al., Journal of Computational Physics, 7, 100066 (2020) and E. Hirvijoki, Plasma Physics and Controlled Fusion, 63, 044003 (2021). The discrete-time conservation properties are analyzed both algebraically and numerically, and an efficient, GPU-parallelized implementation is validated against inhomogeneous temperature relaxation, isotropization and thermalization examples. The results agree with analytical estimates, confirming the method capable of reproducing physics.
