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目的:解决Distmesh网格生成过程中边界上节点多次重复迭代的问题，和电磁设备优化设计中网格重新建模剖分耗费时间过长的问题。方法:通过分析Distmesh边界力的构成，提出了修正边界节点位置作用力的方法；通过定义电磁设备的约束边界网格，对电磁设备的边界网格进行仿射变换，将仿射变换后的节点与初始网格拓扑整合得到新网格。结果:在NACA0012测试模型中，改进后的Distmesh算法平均网格质量从0.956增加到0.963,相较于传统Distmesh算法实现5.12%的提升；使用网格变形算法在长方形含孔洞数值算例中，相对于重新剖分网格的时间节省了约90%。结论:提出的算法在满足计算精度的前提下，避免了小变形工况下网格的重复剖分，大幅度节省了电磁场计算的求解时间。
Abstract：Aims: This paper aims to solve the problem of multiple repeated iterations of nodes on the boundary during the Distmesh generation process and the problem of time-consuming mesh re-modeling and meshing in the electromagnetic equipment optimization design. Methods: By analyzing the composition of the Distmesh boundary force, the first-order forward Euler method was proposed to correct the force at the boundary node position. By defining the constraint boundary grid of the electromagnetic equipment, affine transformation was performed on the boundary grid of the electromagnetic equipment. The final nodes were integrated with the initial grid topology to obtain a new grid. Results: In the NACA0012 test model, the minimum mesh quality of the improved Distmesh algorithm increased from 0.956 to 0.963, achieving a 5.12% improvement compared to the traditional Distmesh algorithm. By using the mesh deformation algorithm in a rectangular numerical example containing holes, about 90% time was savea compared to re-meshing Grid time. Conclusions: On the premise of meeting the calculation accuracy, the proposed algorithm avoids repeated meshing under small deformation conditions and greatly saves the solution time for electromagnetic field calculations.
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基本信息:
DOI：
中图分类号:O441
引用信息:
[1]张垚,安斯光,邹宏亮,等.基于仿射变换的网格变形算法及其电磁应用[J].中国计量大学学报,2024,35(04):628-634.
基金信息:
国家自然科学基金项目(No.52077203)