Automatic generation of quadrilateral elements by a conformal mapping

Baldwin, Kenneth H.; Schreyer, H. L.

doi:10.1108/eb023618

Cited by 18 publications

(2 citation statements)

References 1 publication

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“…In direct methods, quadrilateral elements are generated directly without relying on other types of elements. The commonly used direct methods include grid-based method, 6 whisker weaving, 7 advancing front method (AFM), 4 mapping method 8,9 and so on, and among which the AFM is the most widely used method in engineering application. 10 The method AFM is able to maintain good boundary alignment and obtain elements with high quality.…”

Section: Introductionmentioning

confidence: 99%

Quadrilateral surface mesh generation with improved quality by combination of triangles

Gao,

Xiao,

et al. 2024

Numerical Meth Engineering

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Quadrilateral mesh is preferred in numerical simulation compared with triangular mesh, but high‐quality and robust quadrilateral mesh generation for complex geometries remains a challenging problem. In this study, an enhanced indirect method by the combination of triangles is proposed for the generation of high‐quality quadrilateral mesh. It takes a triangular mesh as the input, and except that the number of elements needs to be even, the triangular mesh can be generated by the commonly used AFT method or Delaunay method. To ensure the quality of the combined quads, a local‐global triangular remeshing procedure is conducted first, and size gradation and vertex valence are focused in this step. Then, the well‐known Blossom algorithm is used to find the perfect matching triangles for combination. Finally, in order to reduce the number of unnecessary singularities, a connectivity optimization procedure is introduced to replace the irregular elements in local regions with regular elements and thus improve the overall quality of the combined quads. Numerical experiments on meshes in both 2D and 3D cases are presented to demonstrate the effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%

Quadrilateral surface mesh generation with improved quality by combination of triangles

Gao,

Xiao,

et al. 2024

Numerical Meth Engineering

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“…In addition, the binary tree discontinuous gird obtained by the binary tree subdivision method (BTSM) [13] can be applied to the DiBFM. Compared with the traditional continuous grid generation methods, such as the advancing front method [14], Delaunay triangulation method [15], mapping method [16], BTSM can generate both continuous and discontinuous grids, and make the grids generation automatically for arbitrary complex models.…”

Section: Introductionmentioning

confidence: 99%

Dual interpolation boundary face method for 3-D potential problem based on binary tree grids

Zhang

Xiao

Wen

et al. 2022

Computer Methods in Applied Mechanics and Engineering

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Automatic conversion of triangular finite element meshes to quadrilateral elements

Johnston

Sullivan

Kwasnik

1991

Numerical Meth Engineering

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SUMMARYA method is presented for the fully automatic conversion of a general finite element mesh containing triangular elements into a mesh composed of exclusively quadrilateral elements. The initial mesh may be constructed of entirely triangular elements or may consist of a mixture of triangular and quadrilateral elements.. The technique used employs heuristic procedures and criteria to selectively combine adjacent triangular elements into quadrilaterals based on preestablished criteria for element quality. Additional procedures are included to eliminate isolated triangles. The method operates completely without user intervention once the nodal co-ordinates and element connectivity of the original mesh are supplied.

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Automatic generation of quadrilateral elements by a conformal mapping

Cited by 18 publications

References 1 publication

Quadrilateral surface mesh generation with improved quality by combination of triangles

Quadrilateral surface mesh generation with improved quality by combination of triangles

Dual interpolation boundary face method for 3-D potential problem based on binary tree grids

Automatic conversion of triangular finite element meshes to quadrilateral elements

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