Adaptive refinement of all-hexahedral elements for three-dimensional metal forming analysis

Park, Chul-Hyun; Yang, Dong‐Yol

doi:10.1016/j.finel.2006.05.005

Cited by 9 publications

(9 citation statements)

References 28 publications

(28 reference statements)

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“…According to Kwak and Im , they are called characteristic line and characteristic vertex, respectively. According to Park and Yang , they are respectively named as the characteristic curve and node.…”

Section: Introductionmentioning

confidence: 99%

“…There are mainly three types of node‐smoothing methods : Laplacian smoothing , optimization‐based smoothing and physics‐based smoothing . Laplacian smoothing is considered as the most popular node‐smoothing method.…”

Section: Introductionmentioning

confidence: 99%

“…Kwak and Im proposed a modified Laplacian smoothing equation by adding an adjustment factor related to node size into the conventional volume‐weighted Laplacian smoothing scheme. Park and Yang introduced a weighting factor based on mesh density of neighboring entities to the area‐weighted Laplacian smoothing method to smooth the refined mesh and ensure the desired density. Herrmann combined Laplacian smoothing with the similar isoparametric smoothing technique for overcoming the inability to utilize boundary curvature information and boundary node point spacing information when locating interior nodes.…”

Section: Introductionmentioning

confidence: 99%

“…C-point is defined as the point shared by three or more C-edges. All the triangular facets of the STL solid model whose angles of normal vector is smaller than the critical value˛are considered to be on a common subsurface.There are mainly three types of node-smoothing methods [16]: Laplacian smoothing [14,15,17], optimization-based smoothing [18,19] and physics-based smoothing [20,21]. Laplacian smoothing is considered as the most popular node-smoothing method.…”

mentioning

confidence: 99%

“…Kwak and Im [14] proposed a modified Laplacian smoothing equation by adding an adjustment factor related to node size into the conventional volume-weighted Laplacian smoothing scheme. Park and Yang [15]…”

mentioning

confidence: 99%

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Quality improvement methods for hexahedral element meshes adaptively generated using grid‐based algorithm

Sun

Zhao

2011

Numerical Meth Engineering

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SUMMARYThe quality of finite element meshes is one of the key factors that affects the accuracy and reliability of numerical simulation results of many science and engineering problems. In order to solve the problem wherein the surface elements of the mesh generated by the grid-based method have poor quality, this paper studied mesh quality improvement methods, including node position smoothing and topological optimization. A curvature-based Laplacian scheme was used for smoothing of nodes on the C-edges, which combined the normal component with the tangential component of the Laplacian operator at the curved boundary. A projection-based Laplacian algorithm for smoothing the remaining boundary nodes was established. The deviation of the newly smoothed node from the practical surface of the solid model was solved. A node-and area-weighted combination method was proposed for smoothing of interior nodes. Five element-inserting modes, three element-collapsing modes and three mixed modes for topological optimization were newly established. The rules for harmonious application and conformity problem of each mode, especially the mixed mode, were provided. Finally, several examples were given to demonstrate the practicability and validity of the mesh quality improvement methods presented in this paper.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%