发表机构
Los Alamos National Laboratory; University of Delaware（洛斯阿拉莫斯国家实验室; 特拉华大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文提出一种用于混合动理学离子-流体电子等离子体模型的隐式、矩守恒低秩张量方法，利用张量列车分解避免维度灾难，并通过改进的守恒截断保证质量、动量和能量守恒，经静电和电磁测试验证。
AI 中文摘要
用于模拟等离子体的准中性混合模型，其中包含动理学离子和流体电子，在接近等离子体的多尺度性质方面显示出巨大潜力。在本文中，我们提出了一种用于电磁设置的新型混合方案，该方案守恒质量、动量和能量，采用利用张量列车分解的低秩张量方法以避免“维度灾难”。电子被模拟为连续流体，而动理学离子则被建模为受Vlasov方程控制的分布函数。Vlasov方程使用隐式中点法进行更新。我们使用一种改进的守恒截断方法来保证整个方法中质量、动量和能量的守恒，该方法在不需推进一组单独的流体矩方程的情况下修正截断的分布函数。一系列静电和电磁测试问题被用来证明该方法的正确性及其守恒性质。
英文摘要
Quasi-neutral hybrid models for simulating plasmas, with kinetic ions and fluid electrons, have shown great promise for approaching the multi-scale nature of plasmas. In this paper we present a novel hybrid scheme for electromagnetic settings that conserves mass, momentum, and energy, employing a low-rank tensor method utilizing the Tensor Train decomposition to avoid the \enquote{curse of dimensionality.} Electrons are simulated as a continuous fluid, while the kinetic ions are modeled as a distribution function governed by the Vlasov equation. The Vlasov equation is updated with the implicit midpoint method. We use a modified version of a conservative truncation method to guarantee conservation of mass, momentum, and energy throughout the method, which corrects the truncated distribution function without needing to advance a separate set of fluid-moment equations. A series of electrostatic and electromagnetic test problems is used to demonstrate the correctness of the method and its conservation properties.
Comments32 Pages, 10 Figures, 4 Tables, 2 Algorithms
