高温超导体的模拟与实验验证
Simulation of high temperature superconductors and experimental validation
摘要：
在这项工作中，我们提出了一个并行的，全分布式有限元数值框架来模拟超导设备的低频电磁响应，这使得可以有效地利用HPC平台。我们选择所谓的H公式，它使用磁场作为状态变量。Nédélec元素（任意阶）需要一个精确的近似H-公式建模电磁场沿界面之间的区域与高对比度介质的属性。为Nédélec元素定制的h-自适应网格细化技术导致感兴趣区域的结构化细网格，而在其他区域获得智能粗化。一个量身定制的，强大的，并行的非线性求解器的组成完成了开发的工具来解决这个问题的阐述。首先，与实验数据进行比较，以显示有限元近似模型的物理现象的可用性。然后，选定的国家的最先进的3D基准再现，专注于并行性能的算法。
英文摘要：
In this work, we present a parallel, fully-distributed finite element numerical framework to simulate the low-frequency electromagnetic response of superconducting devices, which allows to efficiently exploit HPC platforms. We select the so-called H-formulation, which uses the magnetic field as a state variable. Nédélec elements (of arbitrary order) are required for an accurate approximation of the H-formulation for modelling electromagnetic fields along interfaces between regions with high contrast medium properties. An h-adaptive mesh refinement technique customized for Nédélec elements leads to a structured fine mesh in areas of interest whereas a smart coarsening is obtained in other regions. The composition of a tailored, robust, parallel nonlinear solver completes the exposition of the developed tools to tackle the problem. First, a comparison against experimental data is performed to show the availability of the finite element approximation to model the physical phenomena. Then, a selected state-of-the-art 3D benchmark is reproduced, focusing on the parallel performance of the algorithms.
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