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Review of implicit methods for the magnetohydrodynamic description of magnetically confined plasmas

机译:磁约束等离子体的磁流体动力学描述的隐式方法综述

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摘要

Implicit algorithms are essential for predicting the slow growth and saturation of global instabilities in today's magnetically confined fusion plasma experiments. Present day algorithms for obtaining implicit solutions to the magnetohydrodynamic (MHD) equations for highly magnetized plasma have their roots in algorithms used in the 1960s and 1970s. However, today's computers and modern linear and non-linear solver techniques make practical much more comprehensive implicit algorithms than were previously possible. Combining these advanced implicit algorithms with highly accurate spatial representations of the vector fields describing the plasma flow and magnetic fields and with improved methods of calculating anisotropic thermal conduction now makes possible simulations of fusion experiments using realistic values of plasma parameters and actual configuration geometry. This article is a review of these developments.
机译:在当今的磁约束聚变等离子体实验中,隐式算法对于预测全局不稳定性的缓慢增长和饱和至关重要。如今,用于获得高磁化等离子体的磁流体动力学(MHD)方程的隐式解的算法起源于1960年代和1970年代使用的算法。但是,当今的计算机以及现代的线性和非线性求解器技术使实用的隐式算法比以前的可行得多。现在,将这些先进的隐式算法与描述等离子流和磁场的矢量场的高精度空间表示以及改进的计算各向异性热传导的方法相结合,现在就可以使用等离子参数的实际值和实际配置几何来模拟融合实验。本文是对这些发展的回顾。

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