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http://dx.doi.org/10.15701/kcgs.2016.22.2.20

Automatic Hexahedral Mesh Generation using Face-offsetting Method  

Cho, Hyunjoo (Department of Civil & Environmental Engineering, Dongguk Univ.)
Lee, Jeeho (Department of Civil & Environmental Engineering, Dongguk Univ.)
Abstract
This paper proposes an automatic hexahedral mesh generation method, in which internal medial surfaces are established to partition a region using the face-offsetting method. In order to test the usability of the suggested method, aspect ratios and Jacobians of the generated mesh for two models are evaluated and compared with ones from existing methods. It is verified that the proposed medial surface generation and partitioning scheme based on the face-offsetting method can be effectively used in the automatic hexahedral mesh generation procedure.
Keywords
Hexahedral mesh; Medial surface; Face-offsetting method;
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1 M. Nieser, U. Reitebuch, and K. Polthier, "Cubecover-parameterization of 3d volumes", Computer Graphics Forum, Vol. 30, No. 5, 2011.
2 Y. Li, Y. Liu, W. Xu, W. Wang, and B. Guo, "All-hex meshing using singularity-restricted field", ACM Transactions on Graphics, Vol. 31, No. 177, 2012.
3 X. Jiao, "Face offsetting: A unified approach for explicit moving interfaces", Journal of Computational Physics, 2(220), pp. 612-625, 2007.
4 J. Qian, and Y. Zhang, "Automatic unstructured all-hexahedral mesh generation from B-Reps for non-manifold CAD assemblies", Engineering with Computers, Vol. 28, No. 4, pp. 345-359, 2012.   DOI
5 Dassault Systemes, Abaqus/CAE User's Guide, 2015.
6 S E. Benzley, E. Perry, K. Merkley, B. Clark, and G. Sjaardama, "A comparison of all hexagonal and all tetrahedral finite element meshes for elastic and elasto-plastic analysis", In Proceedings of 4th International Meshing Roundtable, Vol. 17, pp. 179-191, 1995.
7 A. O. Cifuentes, and A. Kalbag, "A performance study of tetrahedral and hexahedral elements in 3-D finite element structural analysis", Finite Elements in Analysis and Design, Vol. 12, No. 3, pp. 313-318, 1992.   DOI
8 N. A. DeVries, K. H. Shivanna, S. C. Tadepalli, V. A. Magnotta, and N. M. Grosland, "Ia-FEMesh: anatomic FE models-a check of mesh accuracy and validity", The Iowa Orthopaedic Journal, Vol. 29, pp. 48-54, 2009.
9 J. Gregson, A. Sheffer, and E. Zhang, "All-Hex Mesh Generation via Volumetric PolyCube Deformation", Computer Graphics Forum, Vol. 30. No. 5, 2011.
10 Y. Ito, A. M. Shih, and B. K. Soni, "Octree-based reasonable-quality hexahedral mesh generation using a new set of refinement templates", International Journal for Numerical Methods in Engineering, Vol. 77, No. 13, pp. 1809-1833, 2009.   DOI
11 M. L. Staten, R. A. Kerr, S. J. Owen, T. D. Blacker, M. Stupazzini, and K. Shimada, "Unconstrained plastering-Hexahedral mesh generation via advancing-front geometry decomposition", International Journal for Numerical Methods in Engineering, Vol. 81, No. 2, pp. 135-171, 2010.   DOI
12 J. Sarrate Ramos, E. Ruiz-Girones, and X. Roca Navarro, "Unstructured and semi-structured hexahedral mesh generation methods", Computational Technology Reviews, 10, pp. 35-64, 2014.   DOI
13 M. A. Price, and C. G. Armstrong, "Hexahedral mesh generation by medial surface subdivision: Part II. Solids with flat and concave edges", International Journal for Numerical Methods in Engineering, Vol. 40, No. 1, pp. 111-136, 1997.   DOI
14 K. Y. Kwon, "Quadrilateral and hexahedral mesh generation using chordal axis transformation for shell-like structures", KAIST, 2006.
15 K. Kovalev, "Unstructured hexahedral non-conformal mesh generation", Vrije Universiteit Brussel Belgium, 2005.
16 B. Joe, "Shape measures for quadrilaterals, pyramids, wedges, and hexahedra", Technical Report, 2008.
17 Y. Zhang, X. Liang, and G. Xu, "A robust 2-refinement algorithm in octree or rhombic dodecahedral tree based all-hexahedral mesh generation", Computer Methods in Applied Mechanics and Engineering, Vol. 256, pp. 88-100, 2013.   DOI