Block Cartesian abstraction of a geometric model and its application in hexahedral mesh generation

2005 ◽  
Vol 37 (9) ◽  
pp. 899-907
Author(s):  
Y. Su ◽  
A. Senthil Kumar
Author(s):  
Hua Zhu ◽  
Shuming Gao ◽  
Chuhua Xian

Hexahedral mesh generation is difficult and time-consuming. To avoid the complicated hexahedral mesh regeneration after each variational design, hexahedral mesh editing can be used. In this paper, an accurate hexahedral mesh cutting approach using geometric model is proposed, and the part of the geometric model inside the mesh model can be complex and arbitrary. In the approach, all the newly added geometric entities resulted from mesh cutting are first generated by performing the subtraction operation between the mesh model and the geometric model. Then, for each newly added geometric element, including point, edge and face, the mesh nodes that need to be moved onto it, are determined and repositioned with the mesh quality considered. To ensure the rationality of mesh nodes determination, for each newly added edge, the mesh nodes are identified using shortest path algorithm. Finally, the mesh elements that should not be in the resultant mesh model are deleted, Pillowing and Smoothing operations are further conducted to improve the mesh quality. Some preliminary results are given to show the feasibility of the approach.


2007 ◽  
Vol 43 (4) ◽  
pp. 1505-1508 ◽  
Author(s):  
Hirotomo Fujimori ◽  
So Noguchi ◽  
Hajime Igarashi ◽  
Hideo Yamashita

1999 ◽  
Vol 15 (3) ◽  
pp. 248-262 ◽  
Author(s):  
A. Sheffer ◽  
M. Etzion ◽  
A. Rappoport ◽  
M. Bercovier

2000 ◽  
Vol 10 (04) ◽  
pp. 383-398 ◽  
Author(s):  
ROBERT SCHNEIDERS

An octree-based algorithm for the generation of hexahedral element meshes is presented. The algorithm works in three steps: (i) The geometry to be meshed is approximated by an octree structure. (ii) An unstructured hexahedral element mesh is derived from the octree. (iii) The mesh is adapted to the boundary of the geometry. We focus on step (ii) and describe an algorithm that constructs a hex mesh for a given octree structure.


Author(s):  
Masayuki Hariya ◽  
Ichiro Nishigaki ◽  
Ichiro Kataoka ◽  
Yoshimitsu Hiro

Author(s):  
Michael Kremer ◽  
David Bommes ◽  
Isaak Lim ◽  
Leif Kobbelt

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