| 应用等几何配点法求解电磁涡流场问题 |
| |
| 引用本文： | 张洪海,莫蓉,万能.应用等几何配点法求解电磁涡流场问题[J].计算机辅助设计与图形学学报,2019(3):496-503. |
| |
| 作者姓名： | 张洪海 莫蓉 万能 |
| |
| 作者单位： | 西北工业大学现代设计与集成制造技术教育部重点实验室 |
| |
| 基金项目： | 国家自然科学基金(51775445) |
| |
| 摘 要： | 为简化等几何分析中多种场约束的添加问题,提出一种等几何配点法,并将其应用于电磁涡流场问题.针对磁矢位散度为零的条件、未来形状优化需求及电磁力后处理需求,在求解过程中取4个措施:(1)将高斯积分点选为配点;(2)应用BEM-FEM耦合方法的变形形式来处理电磁场外边界;(3)将多出的配点方程看做约束;(4)应用QR分解法求解所形成的过约束矩阵方程.数值算例结果表明,该方法适用于多种约束下的偏微分方程求解问题.
|
| 关 键 词： | 等几何分析 配点法 电磁涡流场 |
Solving Eddy Current Fields with Isoeometric Collocation Method |
| |
| Zhang Honghai,Mo Rong,Wan Neng.Solving Eddy Current Fields with Isoeometric Collocation Method[J].Journal of Computer-Aided Design & Computer Graphics,2019(3):496-503. |
| |
| Authors: | Zhang Honghai Mo Rong Wan Neng |
| |
| Affiliation: | (Key Laboratory of Contemporary Design and Integrated Manufacturing Technology,Ministry of Education,Northwestern Polytechnical University,Xi’an 710072) |
| |
| Abstract: | In order to simplify the process of imposing multiple constraints in Isogeometric analysis(IGA),an IGA collocation method for solving PDEs is established and applied on the eddy current problems.Considering the divergence-free property of the magnetic vector potential,the shape optimization in the future research and the electromagnetic force calculation in the post process,four technologies are used in the analysis process:(1)selecting the Gaussian points as the collocation points,(2)utilizing an equivalent form of the BEM-FEM coupling method to deal with the magnetic boundary conditions,(3)seeing the additional collocation equations as restrictions,and(4)applying the QR-decomposition method to solve the over-constrained matrix equations.Numerical results show that the presented IGA collocation method is available to solve the PDEs under over-constraints. |
| |
| Keywords: | isogeometric analysis collocation eddy current field |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
