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High-Order Accurate Methods for the Numerical Analysis of a Levitation Device
Archives of Computational Methods in Engineering ( IF 9.7 ) Pub Date : 2020-04-20 , DOI: 10.1007/s11831-020-09427-z
Hefeng Chen , Tobias Gleim

This paper establishes different axisymmetric and two-dimensional models for a levitation device. Therein, the Maxwell equations are combined with the balance of linear momentum. Different possible formulations to describe the Maxwell equations are presented and compared and discussed in the example. A high order finite element discretization using Galerkin’s method in space and the generalized Newmark\(-\alpha\) method in time are developed for the electro-magneto-mechanical approach. Several studies on spatial and temporal discretization with respect to convergence will be investigated. In addition, the boundary influences and the domain size with respect to the levitation device are also examined.



中文翻译:

悬浮装置数值分析的高阶精确方法

本文为悬浮装置建立了不同的轴对称和二维模型。其中,麦克斯韦方程与线性动量的平衡相结合。在示例中介绍,比较和讨论了描述麦克斯韦方程的不同可能公式。针对电磁方法,开发了使用Galerkin方法在空间上进行高阶有限元离散化和及时采用广义Newmark \(-\ alpha \)方法进行离散化的方法。将研究关于收敛的时空离散化的若干研究。另外,还检查了相对于悬浮装置的边界影响和区域大小。

更新日期:2020-04-20
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