Subdivision templates for converting a non-conformal hex-dominant mesh to a conformal hex-dominant mesh without pyramid elements

Proceedings of the 17th International Meshing Roundtable, IMR 2008

Volumn , Issue , 2008, Pages 497-512

  Yamakawa, Soji ^a   Gentilini, Iacopo ^a   Shimada, Kenji ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATED METHODS; FINITE ELEMENT SOLVER; MIXED ELEMENT; PYRAMID ELEMENTS; SUBDIVISION SCHEMES;

MESH GENERATION;

EID: 84878207742     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-540-87921-3_30     Document Type: Conference Paper

References (34)

1. George, P.L.: Tet Meshing: Construction, Optimization and Adaptation. In: Proceedings of 8th International Meshing Roundtable, pp. 133-141 (1999)
2. Yamakawa, S., Shimada, K.: Anisotropic Tetrahedral Meshing via Bubble Packing and Advancing Front. International Journal for Numerical Methods in Engineering 57, 1923-1942 (2003)
3. Shewchuk, J.: Constrained Delaunay Tetrahedralizations and Provably Good Boundary Recovery. In: Proceedings of 11th International Meshing Roundtable, pp. 193-204 (2002)
4. Blacker, T.D., Meyers, R.J.: Seams and Wedges in Plastering: A 3-D Hexahedral Mesh Generation Algorithm. Engineering with Computers 2, 83-93 (1993)
5. Schneiders, R.: A Grid-based Algorithm for the Generation of Hexahedral Element Meshes. Engineering with Computers 12, 168-177 (1996)
6. Tautges, T.J., Blacker, T., Mitchell, S.A.: The Whisker Weaving Algorithm: A Connectivity-Based Method for Constructing All-Hexahedral Finite Element Meshes. International Journal for Numerical Methods in Engineering 39, 3327-3349 (1996)
7. Ledoux, F., Weill, J.-C.: An Extension of the Reliable Whisker Weaving Algorithm. In: Proceedings of 16th International Meshing Roundtable, pp. 215-232 (2007)
8. Staten, M.L., Owen, S.J., Blacker, T.D.: Unconstrained Paving & Plastering: A New Idea for All Hexahedral Mesh Generation. In: Proceedings of 14th International Meshing Roundtable, pp. 399-416 (2005)
9. Taghavi, R.: Automatic Block Decomposition Using Fuzzy Logic Analysis. In: Proceedings of 9th International Mething Roundtable, pp. 187-192 (2000)
10. Kwak, D.-Y., Im, Y.-T.: Remeshing for Metal Forming Simulations-Part II: Three- Dimensional Hexahedral Mesh Generation. International Journal for Numerical Methods in Engineering 53, 2501-2528 (2002)
11. Hariya, M., Nishigaki, I., Kataoka, I., Hiro, Y.: Automatic Hexahedral Mesh Generation with Feature Line Extraction. In: Proceedings of 15th International Meshing Roundtable, pp. 453-467 (2006)
12. Maréchal, L.: A New Approach to Octree-Based Hexahedral Meshing. In: Proceedings of 10th International Meshing Roundtable, pp. 209-221 (2001)
13. Yamakawa, S., Shimada, K.: HEXHOOP: Modular Templates for Converting a Hex-Dominant Mesh to an ALL-Hex Mesh. Engineering with Computers 18, 211-228 (2002)
14. Mitchell, S.A.: The All-Hex Geode-Template for Conforming a Diced Tetrahedral Mesh to any Diced Hexahedral Mesh. In: Proceedings of 7th International Meshing Roundtable, pp. 295-305 (1998)
15. White, D.R., Tautges, T.J.: Automatic Scheme Selection for Toolkit Hex Meshing. International Journal for Numerical Methods in Engineering 49, 127-144 (2000)
16. Lai, M., Benzley, S., White, D.: Automated Hexahedral Mesh Generation by Generalized Multiple Source to Multiple Target Sweeping. International Journal for Numerical Methods in Engineering 49, 261-275 (2000)
17. Shepherd, J., Mitchell, S.A., Knupp, P., White, D.: Methods for Multisweep Automation. In: Proceedings of 9th International Meshing Roundtable, pp. 77-87 (2000)
18. Quadros, W.R., Shimada, K.: Hex-Layer: Layered All-Hex Mesh Generation on Thin Section Solids via Chordal Surface Transformation. In: Proceedings of 11th International Meshing Roundtable, pp. 169-180 (2002)
19. Meshkat, S., Talmor, D.: Generating a Mixed Mesh of Hexahedra, Pentahedra and Tetrahedra from an Underlying Tetrahedral Mesh. International Journal for Numerical Methods in Engineering 49, 17-30 (2000)
20. Meyers, R.J., Tautges, T.J., Tuchinsky, P.M.: The "Hex-Tet" Hex-Dominant Meshing Algorithm as Implemented in CUBIT. In: Proceedings of 7th International Meshing Roundtable, pp. 151-158 (1998)
21. Owen, S.J., Saigal, S.: H-Morph: an Indirect Approach to Advancing Front Hex Meshing. International Journal for Numerical Methods in Engineering 49, 289-312 (2000)
22. Yamakawa, S., Shimada, K.: Hex-Dominant Mesh Generation with Directionality Control via Packing Rectangular Solid Cells. In: Proceedings of Geometric Modeling and Processing (2002)
23. Becker, E.B., Carey, G.F., Oden, J.T.: Finite Elements: an Introduction, vol. 1. Prentice- Hall, Englewood Cliffs (1981)
24. Knupp, P.M.: Achieving Finite Element Mesh Quality via Optimization of the Jacobian Matrix Norm and Associated Quantities. Part II - A Framework for Volume Mesh Optimization and the Condition Number of the Jacobian Matrix. International Journal for Numerical Methods in Engineering 48, 1165-1185 (2000)
25. Freitag, L.A., Plassmann, P.E.: Local Optimization-based Untangling Algorithms for Quadrilateral Meshes. In: Proceedings of 10th International Meshing Roundtable, pp. 397-406 (2001)
26. Zhou, T., Shimada, K.: An Angle-Based Approach to Two-dimensional Mesh Smoothing. In: Proceedings of 9th International Meshing Roundtable, pp. 373-384 (2000)
27. Calvo, N.A., Idelsohn, S.R.: All-Hexahedral Mesh Smoothing with a Node-Based Measure of Quality. International Journal for Numerical Methods in Engineering 50, 1957-1967 (2001)
28. Klingner, B.M., Shewchuck, J.R.: Aggressive Tetrahedral Mesh Improvement. In: Proceedings of 16th International Meshing Roundtable, pp. 3-23 (2007)
29. Joe, B.: Construction of Three-Dimensional Improved-Quality Triangulations Using Local Transformations. SIAM Journal on Scientific Computing 16, 1292-1307 (1995)
30. Molinari, J.F., Ortiz, M.: Three-Dimensional Adaptive Meshing by Subdivision and Edge-Collapse in Finite-Deformation Dynamic-Plasticity Problems with Application to Adiabatic Shear Banding. International Journal for Numerical Methods in Engineering 53, 1101-1126 (2002)
31. Yamakawa, S., Shimada, K.: Fully-Automated Hex-Dominant Mesh Generation with Directionality Control via Packing Rectangular Solid Cells. International Journal for Numerical Methods in Engineering 57, 2099-2129 (2003)
32. Yamakawa, S., Shimada, K.: HEXHOOP: Modular Templates for Converting a Hexdominant Mesh to an All-hex Mesh. In: Proceedings of 10th International Meshing Roundtable, pp. 235-246 (2001)
33. Yamakawa, S., Shimada, K.: Converting a Tetrahedral Mesh to a Prism-Tetrahedral Hybrid Mesh for FEM Accuracy and Efficiency. In: Proceedings of ACM Symposium on Solid and Physical Modeling 2008, pp. 287-294 (2008)
34. "Abaqus," Dassault Systemes, http://www.simulia.com