等离子体流体模型的渐近保持格式
Asymptotic-Preserving Schemes for Fluid Models of Plasmas
摘要：
这些笔记总结了一系列与等离子体流体问题的数值近似有关的工作。我们构建所谓的“渐近保持”计划，这是有效的大范围的值（从非常小的顺序统一）的无量纲参数出现在等离子体流体模型。具体来说，我们感兴趣的两个参数，缩放德拜长度量化如何接近准中性的等离子体，和缩放回旋周期，这是成反比的磁场强度。我们将主要关注这些想法，以便使读者能够将这些概念应用到其他情况中。
英文摘要：
These notes summarize a series of works related to the numerical approximation of plasma fluid problems. We construct so-called 'Asymptotic-Preserving' schemes which are valid for a large range of values (from very small to order unity) of the dimensionless parameters that appear in plasma fluid models. Specifically, we are interested in two parameters, the scaled Debye length which quantifies how close to quasi-neutrality the plasma is, and the scaled cyclotron period, which is inversely proportional to the magnetic field strength. We will largely focus on the ideas, in order to enable the reader to apply these concepts to other situations.
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