NURBS based scheme for automatic quadrilateral mesh generation for FE and BEM analysis

2012 ◽  
Vol 7 (1) ◽  
pp. 29-35 ◽  
Author(s):  
Ranadev Datta ◽  
C. Guedes Soares
Keyword(s):  
Mesh Generation ◽  
Quadrilateral Mesh

scholarly journals Quadrilateral mesh generation III : Optimizing singularity configuration based on Abel–Jacobi theory

2021 ◽  
Vol 387 ◽  
pp. 114146
Author(s):  
Xiaopeng Zheng ◽  
Yiming Zhu ◽  
Wei Chen ◽  
Na Lei ◽  
Zhongxuan Luo ◽  
...  
Keyword(s):  
Mesh Generation ◽  
Quadrilateral Mesh

Quadrilateral mesh generation I : Metric based method

2019 ◽  
Vol 356 ◽  
pp. 652-668 ◽  
Author(s):  
Wei Chen ◽  
Xiaopeng Zheng ◽  
Jingyao Ke ◽  
Na Lei ◽  
Zhongxuan Luo ◽  
...  
Keyword(s):  
Mesh Generation ◽  
Quadrilateral Mesh

scholarly journals Paving: A new approach to automated quadrilateral mesh generation

1991 ◽  
Vol 32 (4) ◽  
pp. 811-847 ◽  
Author(s):  
Ted D. Blacker ◽  
Michael B. Stephenson
Keyword(s):  
Mesh Generation ◽  
Quadrilateral Mesh ◽  
New Approach

2506 Quadrilateral mesh without self-intersection for further hexahedral mesh generation

2002 ◽  
Vol 2002.5 (0) ◽  
pp. 181-182
Author(s):  
Olga EGOROVA ◽  
Junichi SHINODA ◽  
Haozhi QU ◽  
Ichiro HAGIWARA
Keyword(s):  
Mesh Generation ◽  
Hexahedral Mesh ◽  
Quadrilateral Mesh ◽  
Hexahedral Mesh Generation

A New Approacu to Automatic Quadrilateral Mesh Generation

2005 ◽  
Author(s):  
J.M. Zhou ◽  
K.D. Zhou ◽  
K.R. Shao ◽  
L.R. Li
Keyword(s):  
Mesh Generation ◽  
Quadrilateral Mesh

Characteristic Topology Method for Quadrilateral Mesh Without Self-Intersection of Dual Cycles

2002 ◽  
Author(s):  
Junichi Shinoda ◽  
Olga Egorova ◽  
Haozhi Qu ◽  
Ichiro Hagiwara
Keyword(s):  
Initial Data ◽  
Mesh Generation ◽  
Dual Graph ◽  
Surface Mesh ◽  
Hexahedral Mesh ◽  
Quadrilateral Mesh ◽  
Hexahedral Mesh Generation ◽  
Dual Cycle ◽  
The Given ◽  
Polygonal Model

The Dual Cycle Elimination method was proposed by Mu¨ller-Hannemann for hexahedral mesh generation. The method begins with a surface quadrilateral mesh whose dual cycles have no self-intersections and, after the elimination of dual cycles, a hexahedral mesh is generated while tracing back the reverse order of eliminations and supplementing hexahedrons inside the object step by step. This paper presents the Characteristic Topology Method as a means to prescribe a quadrilateral surface mesh that can be initial data for further hexahedral mesh generation. The goal of this method is to stress the topology of the given surface and thus use construction of the loops within the algorithm. The surface is given in a nodal polygonal model and then decomposed into a triangle-quadrilateral model. Templates are used to determine the loops. Then due to some rules every loop is implemented by special additional Dual Cycles. The total mesh is the dual graph to the graph of dual cycles. The problem of self-intersections that may appear comes from Mu¨ller-Hannemann’s approach stated above and that is also implemented in this work as a sketch.

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