Conformal refinement and coarsening of unstructured hexahedral meshes

Journal of Computing and Information Science in Engineering

Volumn 5, Issue 4, 2005, Pages 330-337

  Benzley, Steven E ^a   Harris, Nathan J ^a   Scott, Michael ^a   Borden, Michael ^b   Owen, Steven J ^b  

^a BRIGHAM YOUNG UNIVERSITY   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COARSENING TECHNIQUES;

NUMERICAL METHODS;

INFORMATION SCIENCE;

EID: 29044436836     PISSN: 15309827     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2052848     Document Type: Article

References (23)

1. Carey, G., 1997, Computational Grids: Generation, Adaptation, and Solution Strategies, Taylor & Francis, New York.
2. Plaza, A., and Cary, G., 1996, "About Local Refinement of Tetrahedral Grids," in 5th International Meshing Roundtables, Pittsburgh, PA, Sandia National Laboratories, pp. 123-136.
3. Plaza, A., and Rivara, M.-C., 2003, "Mesh Refinement Based on the 8-Tetrahedra Longest-Edge Partition," in 12th International Meshing Roundtable, Santa Fe, NM, Sandia National Laboratories, pp. 67-78.
4. De Cougny, H. L., and Shephard, M. S., 1999, "Parallel Refinement and Coarsening of Tetrahedral Meshes," Int. J. Numer. Methods Eng., 46, pp. 1101-1125.
5. Bey, J., 1995, "Tetrahedral Grid Refinement," Computing, 55, pp. 355-378.
6. Grosso, R., Lurig, C., and Ertl, T., 1997, "The Multilevel Finite Element Method for Adaptive Mesh Optimization and Visualization of Volume Data," in Eighth IEEE Visualization 1997 (VIS '97), Phoenix, AZ, pp. 387-394.
7. Molino, N., et al., 2003, "A Crystalline, Red Green Strategy for Meshing Highly Deformable Objects With Tetrahedra," in 12th International Meshing Roundtable, Santa Fe, NM, Sandia National Laboratories, pp. 103-114.
8. Tchon, K.-F., Hirsch, C., and Schneiders, R., 1997, "Octree-Based Hexahedral Mesh Generator for Viscous Flow Simulations," in 13th AIAA Computational Fluid Dynamics Conference, No. AIAA-97-1980, Snowmass, CO.
9. Marechal, L., 2001, "A New Approach to Octree-Based Hexahedral Meshing," in 10th International Meshing Roundtable, Newport Beach, CA, Sandia National Laboratories, pp. 209-221.
10. Schneiders, R., 2000, "Octree-Based Hexahedral Mesh Generation," Int. J. Comput. Geom. Appl., 10, No. 4, pp. 383-398.
11. Kwak, D-Y., and Im, Y-T., 2002, "Remeshing for Metal Forming Simulations - Part II: Three Dimensional Hexahedral Mesh Generation," Int. J. Numer. Methods Eng., 53, pp. 2501-2528.
12. Li, Hua, and Cheng, Gengdong, 2000, "New Method for Graded Mesh Generation of All Hexahedral Finite Elements," Comput. Struct., 76, pp. 729-740.
13. Tchon, K.-F., Dompierre, J., and Camarero, R., 2002, "Conformal Refinement of All-Quadrilateral and All-Hexahedral Meshes According to an Anisotropic Metric," in 11th International Meshing Roundtable, Ithaca, New York, Sandia National Laboratories, pp. 231-242.
14. Harris, N. J., "Conformal Refinement of All-Hexahedral Finite Element Meshes," M.S. thesis, Brigham Young University, Provo, UT, 2004.
15. Tautges, T., Blacker, T., and Mitchell, S., 1996, "The Whisker Weaving Algorithm: A Connectivity-Based Method for All-Hexahedral Finite Element Meshes," Int. J. Numer. Methods Eng., 39, pp. 3327-3349.
16. Murdoch, P., Benzley, S., Blacker, T., and Mitchell, S. A., 1997, "The Spatial Twist Continuum: A Connectivity Based Method for Representing All-Hexahedral Finite Element Meshes," Finite Elem. Anal. Design, 28, pp. 137-149.
17. CUBIT, Version 9.1 Users Guide, Sandia National Laboratories, (2004) URL: http://cubit.sandia.gov/help-version9.1/cubithelp.html.
18. Borden, M., Benzley, S. E., Mitchell, S. A., White, D. R., and Meyers, R., 2000, "The Cleave and Fill Tool: An All-Hexahedral Refinement Algorithm for Swept Meshes," Proceedings 9th International Meshing Roundtable, SNL, New Orleans, LA, pp. 69-76.
19. Harris, N. J., Benzley, S. E., and Owen, S. J., 2004, "Conformal Refinement of All-Hexahedral Element Meshes Based on Multiple Twist Plane Insertion," in Proceedings, 13th International Meshing Roundtable, SNL, Williamsburg, VA, pp. 157-167.
20. Melander, D. J., Tautges, T. J., and Benzley, S. E., 1997, "Generation of Multi-Million Element Meshes for Solid Model-Based Geometries: The Dicer Algorithm," AMD-Vol. 220 Trends in Unstructured Mesh Generation, ASME, pp. 131-135.
21. Benzley, S. E., Borden, M., and Mitchell, S. A., 2001, "A Refinement Technique for All-Hexahedral Adaptive Meshing," Computational Fluid and Solid Mechanics, Proceedings, First MIT Conference on Computational Fluid and Solid Mechanics, Elsevier Science, pp. 1519-1523.
22. Knupp, P., 2003, "Algebraic Mesh Quality Metrics for Unstructured Initial Meshes," Finite Elem. Anal. Design, 39, pp. 217-241.
23. Brewer, M., Diachin, L., Knupp, P., Leurent, T., and Melander, D., "The Mesquite Mesh Quality Improvement Toolkit," in Proceedings of the 12th International Meshing Roundtable, SNL, Albuquerque, NM, pp. 239-250.