Eddy-current computations using adaptive grids and edge elements
Eddy-current computations using adaptive grids and edge elements
复制标题
使用自适应网格和边缘元素进行涡流计算
DOI：
10.1109/20.996119
复制
发表时间：
2002
影响因子：
2.1
通讯作者：
K. Samuelsson
中科院分区：
文献类型：
--
作者：
Yueqiang Liu;A. Bondeson;R. Bergstrom;Claes Johnson;M. Larson;K. Samuelsson
结果是基于严格的后验误差估计，使用自适应技术的涡流计算得出的。尽管在拐角处出现奇点，但自适应性恢复了磁能网格大小的二次收敛。引入了一个新过程来满足旋度-旋度方程的可解性条件。该方法应用于具有各向异性电导率和渗透率的水轮发电机模型。具有矢量势和标量势的未计量公式在该问题的收敛速度方面提供了非常显着的改进。讨论了改进收敛性的原因。
Results are presented from eddy-current computations using adaptive techniques, based on rigorous a posteriori error estimates. The adaptivity restores the quadratic convergence with grid size of the magnetic energy, despite singularities occurring at corners. A new procedure is introduced to satisfy the solvability condition for the curl-curl equation. The methods are applied to a model of a hydrogenerator, with anisotropic conductivity and permeability. The ungauged formulation with both vector and scalar potentials gives very significant improvements in rate of convergence for this problem. Reasons for the improved convergence are discussed.