面向有限元网格生成的单元尺寸场光滑化算法

doi:10.11772/j.issn.1001-9081.2014.05.1427

计算机应用 ›› 2014, Vol. 34 ›› Issue (5): 1427-1430.DOI: 10.11772/j.issn.1001-9081.2014.05.1427

面向有限元网格生成的单元尺寸场光滑化算法

曾丽娟¹,李绍磊¹,朱朝艳¹,²

1. 浙江大学工程与科学计算研究中心，杭州 310027；
2. 浙江大学宁波理工学院信息科学与工程学院，浙江宁波 315100

收稿日期:2013-11-26 修回日期:2013-12-23 发布日期:2014-05-30 出版日期:2014-05-01
通讯作者: 曾丽娟
作者简介:曾丽娟(1989-),女,江西宜春人,硕士研究生，主要研究方向：有限元网格生成；李绍磊(1987-),男,山东聊城人,硕士研究生,主要研究方向：有限元网格生成；朱朝艳（1979-）,女,浙江宁波人,讲师,博士研究生,主要研究方向：有限元网格生成。
基金资助:
国家自然科学基金;中央高校基本科研业务费专项资金;浙江省自然科学基金资助项目

Element-sizing field smoothing algorithm for mesh generation of finite element analysis

ZENG Lijuan¹,LI Shaolei¹,ZHU Chaoyan¹,²

1. Center for Engineering and Scientific Computation, Zhejiang University, Hangzhou Zhejiang 310027, China;
2. School of Information Science and Engineering, Ningbo Institute of Technology, Zhejiang University, Ningbo Zhejiang 315100, China

Received:2013-11-26 Revised:2013-12-23 Online:2014-05-30 Published:2014-05-01
Contact: ZENG Lijuan

摘要/Abstract

摘要：

针对单元尺寸场的合适与否会直接影响到后续有限元网格质量的问题，提出一种尺寸修正算法来优化单元尺寸场。在Borouchaki等提出的H变化量（BOROUCHAKI H, HECHT F, FREY P J. Mesh gradation control. International Journal for Numerical Methods in Engineering, 1998,43(6):1143-1165）的基础上，引入尺寸梯度概念，进行一系列公式推导，得到二维的单元尺寸场的合理过渡要求，从而以定义在非结构背景网格的单元尺寸场为例，改进Borouchaki修正算法，提出了一种最少量地重置尺寸场中节点单元尺寸值，最大化地全局光滑单元尺寸场的新算法。最后给出若干实例的网格生成效果图，证明算法能帮助工程应用的模型生成更高质量的网格，跟其他修正算法相比，网格尺寸过渡明显更均匀。

Abstract:

Element-sizing fields are necessities for guiding the generation of high-quality meshes used in finite element analyses and smoothness of this field heavily affect the element quality of the resulting mesh. A new algorithm was proposed to smooth the element-sizing fields. Based on the H-variant proposed by Borouchaki, et al. (BOROUCHAKI H, HECHT F, FREY P J. Mesh gradation control. International Journal for Numerical Methods in Engineering, 1998,43(6):1143-1165), some basic geometric concepts and a theory that aimed at analyzing the smoothness of 2D element-sizing fields quantitatively was established in this paper. The rule of the reasonable sizing transition for 2D area was achieved. Based on this rule, an improved algorithm from Borouchaki sizing-correcting method defined on unstructured background meshes was designed. This algorithm adjusted the size values attached on a small set of background mesh nodes to ensure the output of a well graded size field. Finally, mesh examples were given to validate the proposed theory and algorithm. Compared with other smoothing methods, the proposed algorithm in this paper can help get meshes with better quality.

中图分类号:

TP391.4

曾丽娟李绍磊朱朝艳. 面向有限元网格生成的单元尺寸场光滑化算法[J]. 计算机应用, 2014, 34(5): 1427-1430.

ZENG Lijuan LI Shaolei ZHU Chaoyan. Element-sizing field smoothing algorithm for mesh generation of finite element analysis[J]. Journal of Computer Applications, 2014, 34(5): 1427-1430.

参考文献

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面向有限元网格生成的单元尺寸场光滑化算法

Element-sizing field smoothing algorithm for mesh generation of finite element analysis

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