Surface mesh sizing control

Owen, Steven J.; Saigal, Sunil

doi:10.1002/(sici)1097-0207(20000110/30)47:1/3<497::aid-nme781>3.0.co;2-h

Cited by 26 publications

(14 citation statements)

References 12 publications

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“…Among the geometric properties of the domain that have been used to determine a sizing function are the angle variation between boundary faces [21,22], the curvature of the boundary [10,28,12,29,17,44], and the proximity between different boundary entities [44,32,33].…”

Section: Graded Mesh Generationmentioning

confidence: 99%

“…This mesh can be used as a background mesh for generating a new mesh with element sizes governed by the error estimations. The element size at each point of the domain can be determined through an interpolation procedure [28,29]. Alternatively, Cartesian [12] and octree-based background grids have been proposed to control the element sizes.…”

Section: Graded Mesh Generationmentioning

confidence: 99%

See 1 more Smart Citation

Graded Delaunay Decoupling Method for Parallel Guaranteed Quality Planar Mesh Generation

Linardakis¹,

Chrisochoides²

2008

SIAM J. Sci. Comput.

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We present a method for creating large two-dimensional graded Delaunay meshes on parallel machines. The method decouples the mesh generation procedure for each subdomain and thus eliminates the communication between processors, while the final mesh is of the same guaranteed quality as in the sequential case. This work extends our previous result on the uniform Delaunay decoupling method [L. Linardakis and N. Chrisochoides, SIAM J. Sci. Comput., 27 (2006), pp. 1394-1423, by allowing the element size to be governed by a sizing function, or a background mesh. The graded Delaunay decoupling method can produce in parallel very large graded meshes efficiently, demonstrating high speedup and scalability. Ten billion elements can be created in five minutes with small overrefinement (about 2%). The decoupling parallelization approach is effective, using off-the-shelf, well-tested, and fine-tuned sequential mesh generation libraries without modification.

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Section: Graded Mesh Generationmentioning

confidence: 99%

Section: Graded Mesh Generationmentioning

confidence: 99%

Graded Delaunay Decoupling Method for Parallel Guaranteed Quality Planar Mesh Generation

Linardakis¹,

Chrisochoides²

2008

SIAM J. Sci. Comput.

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“…There are also methods in which the creation of an octree is performed using a medial axis [17]. In the area of mesh adaptation for computation, a background mesh identical to the mesh from the previous calculation step is also quite often used [14]. While there are plenty of articles relating to methods of metric application to generate meshes, relatively little attention is paid to issues like the impact of the form of this auxiliary structure on generation time and the quality of the produced mesh.…”

Section: Introductionmentioning

confidence: 99%

Tree Structures for Adaptive Control Space in 3d Meshing

Jurczyk¹,

Głut

2016

csci

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The article presents a comparison of several octree-and kd-tree-based structures used for the construction of control space in the process of anisotropic mesh generation and adaptation. The adaptive control space utilized by the authors supervises the construction of meshes by providing the required metric information regarding the desired shape and size of elements of the mesh at each point of the modeled domain. Comparative tests of these auxiliary structures were carried out based on different versions of the tree structures with respect to computational and memory complexity as well as the quality of the generated mesh. Analysis of the results shows that kd-trees (not present in the meshing literature in this role) offer good performance and may become a reasonable alternative to octree structures.

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“…Other tools used tom easure other geometric factors mentioned in Section 6.1.2 are briefly discussed here. The curviness in in( F * ) and in( F **) is measured using the minimum principal radius of curvature [2,3,14,17]. The proximity between the end vertices in in( C*)and in ( C **) is measured using the length of a curve.…”

Section: Fig 6 Initial Front and 3d-skeletonmentioning

confidence: 99%

“…In in ( F * ) and in( F **), triangular surface curvature-based sources are generated using minimum principal radius of curvature and maximum spanning angles [2,14,17] (Fig. 9(c)).…”

Section: Rr Sf Rsmentioning

confidence: 99%

A Computational Framework for Generating Sizing Function in Assembly Meshing

Quadros

Vyas

Brewer

et al.

Proceedings of the 14th International Meshing Roundtable

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This paper proposes a framework for generating sizing function in meshing assemblies. Size control is crucial in obtaining a high-quality mesh with a reduced number of elements, which decreases computational time and memory use duringm eshg eneration and analysis. This proposed framework is capable of generating a sizing function based on geometric and non-geometric factors that influence mesh size. The framework consists of a background octree grid for storing the sizing function,a set of source entities for providings izing information based on geometric and non-geometric factors, and an interpolation module for calculatingthe sizing on the background octree grid using the source entities. Source entities are generated by performing a detailed systematic study to identify all the geometric factors of ana ssembly. Disconnected skeletons are extracted and used as tools to measure 3D-proximity and 2D-proximity, which are two of the geometric factors. Non-geometric factorss ucha s user-defined size and pre-meshed entities that influence size are also addressed. The framework is effective ing enerating a variety ofm eshes of industrym odels with less computational cost.

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Surface mesh sizing control

Cited by 26 publications

References 12 publications

Graded Delaunay Decoupling Method for Parallel Guaranteed Quality Planar Mesh Generation

Graded Delaunay Decoupling Method for Parallel Guaranteed Quality Planar Mesh Generation

Tree Structures for Adaptive Control Space in 3d Meshing

A Computational Framework for Generating Sizing Function in Assembly Meshing

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