采用改进波前自动生成算法的电器电场计算
朱传运，石治中，崔江红
河南平高电气股份有限公司，河南 平顶山 467001
摘 要：如何简化前处理，实现高质量网格自动生成是解决有限元数值求解精度及求解效率这一矛盾的关键。以波前推进法为基础，给出一种二维三角形网格的改进波前自动生成算法。通过分类标识波前点，控制离散步长疏密，及最小角优先生成原则与网格光滑处理技术的应用，实现剖分网格的平滑过渡，保证剖分单元质量。通过对SF6 断路器灭弧室的电场数值计算，证明了所提出算法具有良好的边界网格质量及电场计算精度。
关键词：有限元法；波前推进法；网格自动生成；区域分解
中图分类号：TM154.1 文献标识码：A 文章编号：1007-3175(2014)06-0027-04
Electrical Apparatus Electrical Field Calculation with Automatic Generation Algorithm of Improved Advancing Front Technique
ZHU Chuan-yun, SHI Zhi-zhong, CUI Jiang-hong
Henan Pinggao Electric Co., Ltd, Pingdingshan 467001, China
Abstract: How to simplify pre-processing is the key to realize high quality grid automatic generation and to solve the very contradiction between finite element value solution accuracy and solution efficiency. On the basis of advancing front technique, this paper gave a kind of improved advancing front automatic generation algorithm of two dimensional triangular net. Advancing front points were identified according to their classification to control the density of discrete step length. Combined with the minimum angle optimizing generation principle and net grid smooth processing technique application, this method realized smooth transition of divided net grid to ensure divided element quality. The electrical field value calculation of SF6 circuit breaker arc extinguishing chamber proves that the raised algorithm is with fine boundary net grid quality and electrical field calculation accuracy.
Key words: finite element method; advancing front technique; grid automatic generation; zone dividing
参考文献
[1] Mackerle J．Mesh Generation and Refinement for FEM and BEM[J]．Finite Elementin Analysis and Design，1993，15(2)：177-188．
[2] 关振群，宋超，顾元宪. 有限元网格生成方法研究新进展[J].计算机辅助设计与图形学学报，2003，15(1)：1-14.
[3] Lo S H.A New Mesh Generation Scheme for Arbitrary Planar Domains[J].Numerical Methods in Engineering，2005，21(8)：1403-1426.
[4] Lohner R．Progress in Grid Generation via the Advancing Front Technique[J]．Engineering with Computers，1996，12(3)：186-210．
[5] 刘冬，曹云东，孙静，等. 二维电磁场波前推进法网格生成研究[ J ] . 沈阳工业大学学报，2004，26(5)：521-524.
[6] 张洪武，关振群，李云鹏，等. 有限元分析与CAE技术基础[M].北京：清华大学出版社，2004.
