An automatic approach to constrained quadrilateral mesh generation
An automatic approach to constrained quadrilateral mesh generation
复制标题
一种自动生成约束四边形网格的方法
DOI：
10.1108/ec-03-2019-0114
复制
发表时间：
2019-11
影响因子：
1.6
通讯作者：
Lu Sun
中科院分区：
文献类型：
--
作者：
Xinwu Ma;Lu Sun
目的
在许多工程应用中，问题域中可能包含任意约束，表现为多区域界面、具有小屈服应力的裂纹、粘贴在板上用于加固的加强筋等特征。要将这些约束印记到最终网格中，需要开发其他技术来正确处理这些约束。
设计/方法/方法
针对具有复杂特征约束的几何模型，提出了一种自动生成四边形网格的方法。首先通过约束将区域分解为子区域，然后在每个满足约束的子区域内生成四边形网格。提出了一种处理约束直线和约束点的方法。利用拉普拉斯方程，提出了一个分布函数来表示网格尺寸在区域上的分布。通过求解拉普拉斯方程，可以在区域内指定密度线和密度点，并得到合理的网格尺寸分布。
发现
提出了一种自动定义子区域的方法，避免了用户的交互。提出了一种基于约束线构造回路的算法，该算法能较全面地处理随机分布的约束线。提出了一种处理约束点的方法，并在约束点周围生成质量元素。提出了定义网格大小分布的函数。给出了实际工程分析中约束四边形网格生成的算例，验证了该方法的有效性。
原创性/价值
提出了一种约束四边形网格自动生成方法。它可以为具有复杂内部特征约束的特殊应用生成所需的高质量网格。
Purpose
Arbitrary constraints might be included into the problem domain in many engineering applications, which represent specific features such as multi-domain interfaces, cracks with small yield stresses, stiffeners attached on the plate for reinforcement and so on. To imprint these constraints into the final mesh, additional techniques need to be developed to treat these constraints properly.
Design/methodology/approach
This paper proposes an automatic approach to generate quadrilateral meshes for the geometric models with complex feature constraints. Firstly, the region is decomposed into sub-regions by the constraints, and then the quadrilateral mesh is generated in each sub-region that satisfies the constraints. A method that deals with constraint lines and points is presented. A distribution function is proposed to represent the distribution of mesh size over the region by using the Laplace equation. The density lines and points can be specified inside the region and reasonable mesh size distribution can be obtained by solving the Laplace equation.
Findings
An automatic method to define sub-regions is presented, and the user interaction can be avoided. An algorithm for constructing loops from constraint lines is proposed, which can deal with the randomly distributed constraint lines in a general way. A method is developed to deal with constraint points and quality elements can be generated around constraint points. A function defining the distribution of mesh size is put forward. The examples of constrained quadrilateral mesh generation in actual engineering analysis are presented to show the performance of the approach.
Originality/value
An automatic approach to constrained quadrilateral mesh generation is presented in this paper. It can generate required quality meshes for special applications with complex internal feature constraints.
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DOI：
10.1016/s0045-7825(99)00033-x
发表时间：
1999-08
影响因子：
7.2
作者：
S. Yoshimura;Y. Wada;G. Yagawa
通讯作者：
S. Yoshimura;Y. Wada;G. Yagawa
DOI：
--
发表时间：
2000
期刊：
--
影响因子：
--
作者：
R. Schneiders
通讯作者：
R. Schneiders
影响因子：
8.7
作者：
Schneiders, R
通讯作者：
Schneiders, R
DOI：
10.1002/nme.1620290712
发表时间：
1990-05
影响因子：
2.9
作者：
Jeffrey A. Talbert;A. Parkinson
通讯作者：
Jeffrey A. Talbert;A. Parkinson
影响因子：
2.5
作者：
Bommes, David;Levy, Bruno;Zorin, Denis
通讯作者：
Zorin, Denis