A new indirect anisotropic quadrilateral mesh generation scheme with enhanced local mesh smoothing procedures

Lee, Y. K.; Lee, Chi King

doi:10.1002/nme.771

Cited by 15 publications

(10 citation statements)

References 28 publications

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“…Once the target vertex density is achieved, adjacent simplicial elements are merged to form cubical ones. Different merging strategies are possible including advancing fronts [14,15,16], graph theory [17] and quality constraints [18,3,4]. Although, some non-cubical elements may remain, particularly in three dimensions, such cubical-dominant meshes are acceptable in many applications.…”

Section: Cubical Adaptationmentioning

confidence: 99%

Quad-Dominant Mesh Adaptation Using Specialized Simplicial Optimization

Tchon

Camarero

Proceedings of the 15th International Meshing Roundtable

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Summary. The proposed quad-dominant mesh adaptation algorithm is based on simplicial optimization. It is driven by an anisotropic Riemannian metric and uses specialized local operators formulated in terms of an L ∞ instead of the usual L2 distance. Furthermore, the physically-based vertex relocation operator includes an alignment force to explicitly minimize the angular deviation of selected edges from the local eigenvectors of the target metric. Sets of contiguous edges can then be effectively interpreted as active tensor lines. Those lines are not only packed but also simultaneous networked together to form a layered rectangular simplicial mesh that requires little postprocessing to form a cubical-dominant one. Almost all-cubical meshes are possible if the target metric is compatible with such a decomposition and, although presently only two-dimensional tests were performed, a three-dimensional extension is feasible.

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Section: Cubical Adaptationmentioning

confidence: 99%

Quad-Dominant Mesh Adaptation Using Specialized Simplicial Optimization

Tchon

Camarero

Proceedings of the 15th International Meshing Roundtable

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“…In Examples 4 and 5, the structure under consideration is a nozzle [11] constructed by intersection of three shell walls. The anisotropic triangular surface mesh used in Example 4 is shown in Figure 38 Figures 38(c) and (e), respectively.…”

Section: Examples 4-9mentioning

confidence: 99%

“…Efficient algorithms are now available for the generation of anisotropic [9,10] and full quadrilateral meshes [11]. (2) Surface mesh generation schemes: Recently, topics in surface mesh generation that are under intensive research focus included anisotropic meshes generation with gradation and geometric error control [12][13][14], the generation of anisotropic surface quadrilateral meshes [11,15,16] and mesh generation algorithms for non-analytical surface patches [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

A new automatic adaptive 3D solid mesh generation scheme for thin-walled structures

Lee¹,

Xu²

2005

Int. J. Numer. Meth. Engng

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SUMMARYA new algorithm to generate three-dimensional (3D) mesh for thin-walled structures is proposed. In the proposed algorithm, the mesh generation procedure is divided into two distinct phases. In the first phase, a surface mesh generator is employed to generate a surface mesh for the mid-surface of the thin-walled structure. The surface mesh generator used will control the element size properties of the final mesh along the surface direction. In the second phase, specially designed algorithms are used to convert the surface mesh to a 3D solid mesh by extrusion in the surface normal direction of the surface. The extrusion procedure will control the refinement levels of the final mesh along the surface normal direction. If the input surface mesh is a pure quadrilateral mesh and refinement level in the surface normal direction is uniform along the whole surface, all hex-meshes will be produced. Otherwise, the final 3D meshes generated will eventually consist of four types of solid elements, namely, tetrahedron, prism, pyramid and hexahedron. The presented algorithm is highly flexible in the sense that, in the first phase, any existing surface mesh generator can be employed while in the second phase, the extrusion procedure can accept either a triangular or a quadrilateral or even a mixed mesh as input and there is virtually no constraint on the grading of the input mesh. In addition, the extrusion procedure development is able to handle structural joints formed by the intersections of different surfaces. Numerical experiments indicate that the present algorithm is applicable to most practical situations and well-shaped elements are generated.

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“…It also extends to quadrilaterals and to anisotropic meshes. (Refer to [ZS00, LL03] and [ZBX09] for examples. )…”

Section: Introductionmentioning

confidence: 99%

Two Simple Methods for Improving a Triangle Mesh Surface

Renka

2015

Computer Graphics Forum

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We present two simple and efficient local methods that reposition vertices of a triangle mesh surface with the goal of producing good triangle shapes while preserving the enclosed volume and sharp features. The methods involve minimizing a quadratic energy functional with respect to variations in a tangent plane (or in the direction of a crease) at each free vertex. One of the methods is aimed at producing uniform angles, while the other method is designed to produce uniform triangle areas, or more generally, to force relative triangle areas to conform to curvature estimates or estimates of local feature size so that vertex density is low in flat spots and relatively high in regions of large curvature. Test results demonstrate the effectiveness of both methods, especially when combined.

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A new indirect anisotropic quadrilateral mesh generation scheme with enhanced local mesh smoothing procedures

Cited by 15 publications

References 28 publications

Quad-Dominant Mesh Adaptation Using Specialized Simplicial Optimization

Quad-Dominant Mesh Adaptation Using Specialized Simplicial Optimization

A new automatic adaptive 3D solid mesh generation scheme for thin-walled structures

Two Simple Methods for Improving a Triangle Mesh Surface

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