An Improved XFEM With Multiple High-Order Enrichment Functions and Low-Order Meshing Elements for Field Analysis of Electromagnetic Devices With Multiple Nearby Geometrical Interfaces

作者：Duan Nana; Xu Weijie; Wang Shuhong^*; Zhu Jianguo; Guo Youguang

来源：IEEE Transactions on Magnetics, 2015, 51(3): UNSP 7206004.

DOI：10.1109/TMAG.2014.2358792

• Eddy current
• extended finite element method (XFEM)
• high-order enrichment function
• nearby geometrical interfaces

This paper proposes an improved extended finite element method for modeling electromagnetic devices with multiple nearby geometrical interfaces. In regions near these interfaces, the magnetic vector potential approximation is enriched by incorporating multiple derivative discontinuous fields based on the partition of unity method such that the interfaces can be represented independent of the mesh. The support of a node or an element can be cut by several interfaces. This method results in the high accuracy in the approximation field and derivative field. Numerical examples applied to the iron core in 1-D eddy current field involving level set-based parts, error analysis, and electromagnetic field computations are provided to demonstrate the utility of the proposed approach.

• 出版日期2015-3
• 单位西安交通大学