Magneto-Hydrodynamic Simulations of Pedestal Instabilities for Tokamak Plasmas with Different Ion Masses

Matthias Rosenthal
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Abstract

In this bachelor's thesis, isotope effects for pedestal instabilities have been studied based on an ASDEX Upgrade H-Mode scenario. This was done using the JOREK code for extended MHD simulations, including the ion diamagnetic drift and the establishment of ExB flows. Simulations with single toroidal harmonics were performed for multiple times during the build-up of the pedestal, to assess the evolution of the linear stability of modes occurring near the edge. When changing the average ion masses from 2.0 to 2.5 and 3.0, the variations were small, and MHD's momentum equation was shown to be the major cause for them. As a second step, simulations with multiple toroidal harmonics were performed to simulate an Edge Localized Mode (ELM) crash, again comparing between the average ion masses of 2.0, 2.5, and 3.0. The resulting variations of heat and particle losses were compared to JET results. The experimental differences between ion masses could not be reproduced. Together with the fact that the simulations' pedestal for an average ion mass of 2.5 and 3.0 was not matched to the experiment, this indicates that other effects, such as small-scale turbulences, must be included - for example, by adapting the simulations' transport coefficients - to explain the experimental differences.
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不同离子质量托卡马克等离子体的台座不稳定性的磁流体动力学模拟
在这篇学士论文中,基于 ASDEX 升级 H 模式方案,研究了基座不稳定性的同位素效应。这项研究使用了用于扩展 MHD 模拟的 JOREK 代码,包括离子二磁漂移和 ExB 流的建立。当平均离子质量从 2.0 变为 2.5 和 3.0 时,变化很小,表明 MHD 的动量方程是造成这些变化的主要原因。第二步,对多个环形谐波进行模拟,以模拟边缘局部模式(ELM)碰撞,并再次比较 2.0、2.5 和 3.0 的平均离子质量。由此产生的热量和粒子损失变化与 JET 的结果进行了比较。离子质量之间的实验差异无法再现。再加上平均离子质量为 2.5 和 3.0 时的模拟基底与实验结果不匹配,这表明必须将其他效应(如小尺度湍流)包括在内--例如,通过调整模拟的传输系数--才能解释实验差异。
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