3D hybrid mesh generation with an improved vertical stretch algorithm for geometric models with pinch-out features

Aiming at the infeasibility of using quadrilateral-prisms to describe sharp shapes, an improved vertical stretch algorithm was proposed to generate three-dimensional (3D) hybrid meshes based on the quadrilateral mesh converted from triangles to discretize the geometric models with pinch-out features...

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Vydané v:	Computational geosciences Ročník 25; číslo 1; s. 575 - 599
Hlavní autori:	Sun, Lu, Zhao, Guoqun, Yeh, Gour-Tsyh
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Cham Springer International Publishing 01.02.2021 Springer Nature B.V
Predmet:	Algorithms Conformity Earth and Environmental Science Earth Sciences Finite element method Geotechnical Engineering & Applied Earth Sciences Hydrogeology Mathematical Modeling and Industrial Mathematics Mathematical models Mesh generation Metal forming Metals Optimization Original Paper Prisms Quadrilaterals Soil Science & Conservation Splitting Templates Tetrahedra Triangles Water flow Delaunay triangulation Hybrid mesh Vertical stretch Quadrilateral-prism Splitting templates Topological optimization
ISSN:	1420-0597, 1573-1499
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Shrnutí:	Aiming at the infeasibility of using quadrilateral-prisms to describe sharp shapes, an improved vertical stretch algorithm was proposed to generate three-dimensional (3D) hybrid meshes based on the quadrilateral mesh converted from triangles to discretize the geometric models with pinch-out features. A robust and automatic mesh generator was developed, which served as a preprocessing tool for simulating metal forming, water flows and transports. An initial mixed mesh composed of cuspate hexahedra, quadrilateral- and triangular-prisms was constructed to capture the sharp features of pinch-out regions effectively. Five splitting templates were established to divide the 3D elements derived from pinch-out sub-domains into tetrahedra and triangular-prisms. The concept of splitting points was defined, based on which the appropriate implementation mode of each splitting template could be determined, so as to achieve the conformity and consistency of common faces and edges between different kinds of elements. Two topological optimization templates were established to improve the quality of degenerated triangular-prisms and tetrahedra. A new pinch-out boundary quadrilateral insertion method was proposed to avoid the generation of cuspate hexahedra, which simplified the conformity treatment strategies and improved the quality of the resulting mesh to a certain extent. Practical applications confirmed that the hybrid mesh generation methods proposed in this paper could discretize the geometric models with pinch-out features precisely. The requirements on mesh conformity and refinement were also able to be fully satisfied.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1420-0597 1573-1499
DOI:	10.1007/s10596-020-10026-x