A grid-based algorithm for the generation of hexahedral element meshes

Schneiders, Robert

doi:10.1007/bf01198732

Cited by 213 publications

(126 citation statements)

References 6 publications

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“…end for 17: end function to loop on the feature vertices (Lines 3-15) and, for each feature vertex, compute its adjacent global feature edges (5)(6)(7)(8)(9)(10)(11)(12)(13)(14). Once all the feature vertices are traversed, the global feature edges are generated.…”

Section: Algorithm 4 Compute Global Feature Edgesmentioning

confidence: 99%

“…To this end, we generate a boundary layer by using the blending function (8). The final mesh, presented in Figure 24, contains 28 levels.…”

Section: Examplesmentioning

confidence: 99%

“…In order to illustrate the behavior of the blending function presented in (8), Figure 24 shows the new level sets distribution using d 1 = 0.5, d 2 = 0.7 and α = 5.…”

Section: Examplesmentioning

confidence: 99%

“…On the one hand, the standard grid-based methods [7][8][9][10][11] are the only family of hexahedral mesh generation algorithms that are robust and fully automatic. In addition, they generate high-quality meshes in the inner part of the mesh.…”

Section: Introductionmentioning

confidence: 99%

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The receding front method applied to hexahedral mesh generation of exterior domains

Ruiz‐Gironés

Roca

Sarrate

2011

Engineering with Computers

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Two of the most successful methods to generate unstructured hexahedral meshes are the grid-based methods and the advancing front methods. On the one hand, the grid-based methods generate high-quality hexahedra in the inner part of the domain using an inside-outside approach. On the other hand, advancing front methods generate highquality hexahedra near the boundary using an outside-inside approach. To combine the advantages of both methodologies, we extend the receding front method: an inside-outside mesh generation approach by means of a reversed advancing front. We apply this approach to generate unstructured hexahedral meshes of exterior domains. To reproduce the shape of the boundaries, we first pre-compute the mesh fronts by combining two solutions of the Eikonal equation on a tetrahedral reference mesh. Then, to generate high-quality elements, we expand the quadrilateral surface mesh of the inner body towards the unmeshed external boundary using the pre-computed fronts as a guide.

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Section: Algorithm 4 Compute Global Feature Edgesmentioning

confidence: 99%

“…To this end, we generate a boundary layer by using the blending function (8). The final mesh, presented in Figure 24, contains 28 levels.…”

Section: Examplesmentioning

confidence: 99%

“…In order to illustrate the behavior of the blending function presented in (8), Figure 24 shows the new level sets distribution using d 1 = 0.5, d 2 = 0.7 and α = 5.…”

Section: Examplesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The receding front method applied to hexahedral mesh generation of exterior domains

Ruiz‐Gironés

Roca

Sarrate

2011

Engineering with Computers

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“…There are four distinct methods for unstructured all-hex mesh generation: grid-based, medial surface, plastering and whisker weaving. The grid-based approach generates a fitted 3D grid of hex elements on the interior of the volume [48] [49]. Medial surface methods involve an initial decomposition of the volume [46] [47].…”

Section: Hexahedral Mesh Generationmentioning

confidence: 99%

3D finite element meshing from imaging data

Zhang

Bajaj

Sohn

2005

Computer Methods in Applied Mechanics and Engineering

166

134

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This paper describes an algorithm to extract adaptive and quality 3D meshes directly from volumetric imaging data. The extracted tetrahedral and hexahedral meshes are extensively used in the Finite Element Method (FEM). A top-down octree subdivision coupled with the dual contouring method is used to rapidly extract adaptive 3D finite element meshes with correct topology from volumetric imaging data. The edge contraction and smoothing methods are used to improve the mesh quality. The main contribution is extending the dual contouring method to crack-free interval volume 3D meshing with feature sensitive adaptation. Compared to other tetrahedral extraction methods from imaging data, our method generates adaptive and quality 3D meshes without introducing any hanging nodes. The algorithm has been successfully applied to constructing the geometric model of a biomolecule in finite element calculations.

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Prognostic significance of the number of lymph nodes examined in patients with lymph node-negative breast carcinoma

Moorman

Hamza

Marks

et al. 2001

Cancer

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A facile method for preparing highly self‐doped Cu2‐xE (E = S, Se) nanocrystals (NCs) with controlled size in the range of 2.8–13.5 nm and 7.2–16.5 nm, for Cu2‐xS and Cu2‐xSe, respectively, is demonstrated. Strong near‐infrared localized surface plasmon resonance absorption is observed in the NCs, indicating that the as‐prepared particles are heavily p‐doped. The NIR plasmonic absorption is tuned by varying the amount of oleic acid used in synthesis. This effect is attributed to a reduction in the number of free carriers through surface interaction of the deprotonated carboxyl functional group of oleic acid with the NCs. This approach provides a new pathway to control both the size and the cationic deficiency of Cu2‐xSe and Cu2‐xS NCs. The high electrical conductivity exhibited by these NPs in metal‐semiconductor‐metal thin film devices shows promise for applications in printable field‐effect transistors and microelectronic devices.

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A grid-based algorithm for the generation of hexahedral element meshes

Cited by 213 publications

References 6 publications

The receding front method applied to hexahedral mesh generation of exterior domains

The receding front method applied to hexahedral mesh generation of exterior domains

3D finite element meshing from imaging data

Prognostic significance of the number of lymph nodes examined in patients with lymph node-negative breast carcinoma

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