摘要
网格剖分是有限元法的关键,其剖分得到的网格质量决定了有限元法计算结果的准确性。提出基于Persson-Strang算法生成非结构化三角形网格的新算法。通过分析Laplacian平滑函数作用原理,提出新的平滑函数来减少迭代次数;提出一种在优化设计过程中无重构变形方法,通过定义边界网格框架利用坐标映射技术可以快速推导出网格;通过设置质量评估来解决不可终止性的可能和过度迭代,加入边界节点筛选功能,并对剖分得到的三角元进行有限元逆序编号处理。将该算法与Persson-Strang算法进行剖分效果对比,验证该算法应用于电磁场领域的有效性。
Mesh generation is the key of the finite element method.The quality of the mesh generated by the mesh generation determines the accuracy of the results of the finite element method.A new unstructured triangle mesh generation algorithm based on Persson-Strang algorithm is proposed.By analyzing the principle of Laplacian smoothing function,a new smoothing function was proposed to reduce the number of iterations;a non reconstruction deformation method was proposed in the process of optimization design,which can quickly deduce the grid by defining the boundary grid framework and using the coordinate mapping technology;the possibility of non termination and over iteration can be solved by setting the quality evaluation,and node filtering function was added to the boundary,and the trigonometric elements obtained by subdivision were numbered in reverse order by finite element method.Compared with the Persson-Strang algorithm,this algorithm is proved to be more effective in electromagnetic field.
作者
章春锋
汪伟
吴天纬
安斯光
Zhang Chunfeng;Wang Wei;Wu Tianwei;An Siguang(College of Mechanical and Electrical Engineering,China Jiliang University,Hangzhou 310016,Zhejiang,China)
出处
《计算机应用与软件》
北大核心
2021年第6期219-224,共6页
Computer Applications and Software
基金
浙江省自然科学基金项目(LY19E070003)
国家自然科学基金项目(61701467)。
关键词
网格剖分
平滑函数
坐标映射
有限元
电磁场
Mesh generation
Smoothing function
Coordinate mapping
Finite element
Electromagnetic field
