scholarly journals Hexahedral Mesh Quality Improvement with Geometric Constraints

2021 ◽  
Author(s):  
Wei Peng ◽  
Kai Qiao ◽  
Xinguang Wu ◽  
Chaoyang Zhang
Keyword(s):  
Quality Improvement ◽  
Geometric Constraints ◽  
Mesh Quality ◽  
Hexahedral Mesh ◽  
Mesh Quality Improvement

scholarly journals Hexahedral Mesh Quality Improvement with Geometric Constraints

2021 ◽  
Author(s):  
wei peng ◽  
Xinguang Wu ◽  
Yidong Bao ◽  
Chaoyang Zhang ◽  
Weixi Ji
Keyword(s):  
Quality Improvement ◽  
Geometric Constraints ◽  
Mesh Quality ◽  
Quality Improvements ◽  
Hexahedral Mesh ◽  
Different Types ◽  
Hexahedral Meshes ◽  
Improvement Method ◽  
Quality Improvement Method

Abstract Hexahedral mesh is of great value in the analysis of mechanical structure, and the mesh quality has an important impact on the efficiency and accuracy of the analysis. This paper presents a quality improvement method for hexahedral meshes, which consists of node classification, geometric constraints based single hexahedron regularization and local hexahedral mesh stitching. The nodes are divided into different types and the corresponding geometric constraints are established in single hexahedron regularization to keep the geometric shapes of original mesh. In contrast to the global optimization strategies, we perform the hexahedral mesh stitching operation within a few local regions surrounding elements with undesired quality, which can effectively improve the quality of the mesh with less consuming time. A number of mesh quality improvements for hexahedral meshes generated by a variety of methods are introduced to demonstrate the effectiveness of our method.

Hexahedral mesh quality improvement via edge-angle optimization

2018 ◽  
Vol 70 ◽  
pp. 17-27 ◽  
Author(s):  
Kaoji Xu ◽  
Xifeng Gao ◽  
Guoning Chen
Keyword(s):  
Quality Improvement ◽  
Mesh Quality ◽  
Hexahedral Mesh ◽  
Edge Angle ◽  
Mesh Quality Improvement

A Framework for Finite Element Mesh Quality Improvement and Visualization in Orthopaedic Biomechanics

2009 ◽  
Author(s):  
Kiran H. Shivanna ◽  
Srinivas C. Tadepalli ◽  
Vincent A. Magnotta ◽  
Nicole M. Grosland
Keyword(s):  
Finite Element ◽  
Quality Improvement ◽  
Biological Processes ◽  
Mesh Quality ◽  
The Finite Element Method ◽  
Element Mesh ◽  
Invaluable Tool ◽  
Finite Element Meshing ◽  
Mesh Quality Improvement

The finite element method (FEM) is an invaluable tool in the numerical simulation of biological processes. FEM entails discretization of the structure of interest into elements. This discretization process is termed finite element meshing. The validity of the solution obtained is highly dependent on the quality of the mesh used. Mesh quality can decrease with increased complexity of the structure of interest, as is often evident when meshing biologic structures. This necessitated the development/implementation of generalized mesh quality improvement algorithms.

scholarly journals A Deviation-Based Dynamic Vertex Reordering Technique for 2D Mesh Quality Improvement

Symmetry ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 895 ◽  
Author(s):  
Junhyeok Choi ◽  
Harrim Kim ◽  
Shankar Prasad Sastry ◽  
Jibum Kim
Keyword(s):  
Quality Improvement ◽  
Optimization Problem ◽  
Mesh Optimization ◽  
Mesh Quality ◽  
Free Vertex ◽  
Smooth Optimization ◽  
Downhill Simplex ◽  
Mesh Quality Improvement ◽  
Better Than

We propose a novel deviation-based vertex reordering method for 2D mesh quality improvement. We reorder free vertices based on how likely this is to improve the quality of adjacent elements, based on the gradient of the element quality with respect to the vertex location. Specifically, we prioritize the free vertex with large differences between the best and the worst-quality element around the free vertex. Our method performs better than existing vertex reordering methods since it is based on the theory of non-smooth optimization. The downhill simplex method is employed to solve the mesh optimization problem for improving the worst element quality. Numerical results show that the proposed vertex reordering techniques improve both the worst and average element, compared to those with existing vertex reordering techniques.

A log-barrier method for mesh quality improvement and untangling

2012 ◽  
Vol 30 (3) ◽  
pp. 315-329 ◽  
Author(s):  
Shankar P. Sastry ◽  
Suzanne M. Shontz ◽  
Stephen A. Vavasis
Keyword(s):  
Quality Improvement ◽  
Mesh Quality ◽  
Barrier Method ◽  
Mesh Quality Improvement
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