Purpose

This paper aims to propose a method to create 3-D finite element meshes automatically using the Delaunay tetrahedralization with the weighted node density technique. Using this method, the adaptive finite element analysis (FEA) was carried out for the calculation of the magnetic field of an eddy current verification model to clarify the usefulness of the method. Moreover, the error evaluation function for the adaptive FEA was also discussed.

Design/methodology/approach

The method to create the 3-D finite element meshes using the Delaunay tetrahedralization is realized by the weighted node density technique, and Zienkiewicz-Zhu’s error estimator is used as the error evaluation function of the adaptive FEA.

Findings

The magnetic flux density vectors on the node in the error evaluation function for the adaptive FEA should be calculated with the weighted average by the reciprocal of the volume of elements.

Originality/value

This paper describes the method to create 3-D finite element meshes and the comparison among calculation methods of the magnetic flux density vectors on the node for the error estimator.

中文翻译：

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具有加权节点密度技术的3D自适应FEA

目的

本文旨在提出一种使用Delaunay四面体化和加权节点密度技术自动创建3-D有限元网格的方法。使用该方法，对涡流验证模型的磁场进行了自适应有限元分析（FEA），以阐明该方法的实用性。此外，还讨论了自适应FEA的错误评估功能。

设计/方法/方法

通过加权节点密度技术实现了使用Delaunay四面体化创建3-D有限元网格的方法，并使用Zienkiewicz-Zhu的误差估计器作为自适应FEA的误差评估函数。

发现

自适应FEA的误差评估函数中节点上的磁通密度矢量应通过元素体积的倒数的加权平均值计算得出。

创意/价值

本文介绍了创建3D有限元网格的方法，并比较了误差估计器节点上的磁通密度矢量的计算方法。