Localized coarsening of conforming all-hexahedral meshes

Proceedings of the 17th International Meshing Roundtable, IMR 2008

Volumn , Issue , 2008, Pages 603-619

  Woodbury, Adam C ^a   Shepherd, Jason F ^b   Staten, Matthew L ^b,c   Benzley, Steven E ^a  

^a BRIGHAM YOUNG UNIVERSITY   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

^c CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Adaptivity; Coarsening; Hexahedral; Mesh; Refinement; Simplification

Indexed keywords

AUTOMATION; MESH GENERATION; OSTWALD RIPENING;

ADAPTIVITY; HEXAHEDRAL; MESH; REFINEMENT; SIMPLIFICATION;

COARSENING;

EID: 77952007514     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-540-87921-3_36     Document Type: Conference Paper

References (25)

1. Rupak, B., Strawn, R.C.: Tetrahedral and hexahedral mesh adaptation for CFD problems. Applied Numerical Mathematics 26, 135-151 (1998)
2. Morton, D., Tyler, J.M.: A new 3D adaptive finite element scheme with 1-irregular hexahedral element meshes. In: Proceedings of the 2000 ACM Symposium on Applied Computing, pp. 99-104 (2000)
3. Tam, A., Ait-Ali-Yahia, D., Robichaud, M.P., Moore, M., Kozel, V., Habashi, W.G.: Anisotropic mesh adaptation for 3D flows on structured and unstructured grids. Computer Methods in Applied Mechanics and Engineering 189, 1205-1230(2000)
4. Cavallo, P.A., Sinha, N., Feldman, G.M.: Peter, A., Cavallo, N.: Parallel unstructured mesh adaptation for transient moving body and aeropropulsive applications. In: 42nd AIAA Aerospace Sciences Meeting and Exhibit, pp. 6555-6565 (2004)
5. Benzley, S.E., Perry, E., Merkley, K., Clark, B.: A comparison of all hexagonal and all tetrahedral finite element meshes for elastic and elasto-plastic analysis. In: Proceedings, 4th International Meshing Roundtable, October 1995, pp. 179-191. Sandia National Laboratories (1995)
6. Tchon, K.-F., Dompierre, J., Camarero, R.: Conformal refinement of allquadrilateral and all-hexahedral meshes according to an anisotropic metric. In: Proceedings, 11th International Meshing Roundtable, September 2002, pp. 231-242. Sandia National Laboratories (2002)
7. Harris, N., Benzley, S.E., Owen, S.J.: Conformal refinement of all-hexahedral meshes based on multiple twist plane insertion. In: Proceedings, 13th International Meshing Roundtable, September 2004, pp. 157-168. Sandia National Laboratories (2004)
8. Benzley, S.E., Harris, N.J., Scott, M.A., Borden, M.J., Owen, S.J.: Conformal refinement and coarsening of unstructured hexahedral meshes. Journal of Computing and Information Science in Engineering 5, 330-337 (2005)
9. Parrish, M., Borden, M.J., Staten, M.L., Benzley, S.E.: A selective approach to conformal refinement of unstructured hexahedral finite element meshes. In: Proceedings, 16th International Meshing Roundtable, September 2007, pp. 251-268.Sandia National Laboratories (2007)
10. Tautges, T.J., Knoop, S.: Topology modification of hexahedral meshes using atomic dual-based operations. In: Proceedings, 12th International Meshing Roundtable, September 2003, pp. 415-423. Sandia National Laboratories (2003)
11. Sheffer, A., Ungor, A.: Efficient adaptive meshing of parametric models. Journal of Computing and Information Science in Engineering 123, 366-375 (2001)
12. Choi, C.K., Lee, E.J., Yu, W.J.: Adaptive mesh refinement/recovery strategy for FEA. Structural Engineering and Mechanics 17, 379-391 (2004)
13. Kallinderis, Y., Kavouklis, C.: A dynamic adaptation scheme for general 3D hybrid meshes. Computer Methods in Applied Mechanics and Engineering 194, 5019-5050 (2005)
14. Kirk, B.S., Peterson, J.W., Stogner, R.H., Carey, G.F.: libmesh: A c++ library for parallel adaptive mesh refinement/coarsening simulations. Engineering With Computers 22, 237-254 (2006)
15. Taghavi, R.: Automatic, parallel and fault tolerant mesh generation from CAD. Engineering With Computers 12, 178-185 (1996)
16. Borden, M.J., Benzley, S.E., Shepherd, J.F.: Coarsening and sheet extraction for all-hexahedral meshes. In: Proceedings, 11th International Meshing Roundtable, September 2002, pp. 147-152. Sandia National Laboratories (2002)
17. Murdoch, P.J., Benzley, S.E.: The spatial twist continuum. In: Proceedings, 4th International Meshing Roundtable, October 1995, pp. 243-251. Sandia National Laboratories (1995)
18. Shepherd, J.F.: Topologic and Geometric Constraint-Based Hexahedral Mesh Generation, May 2007. Published Doctoral Dissertation, University of Utah (2007)
19. Merkley, K., Ernst, C.D., Shepherd, J.F., Borden, M.J.: Methods and applications of generalized sheet insertion for hexahedral meshing. In: Proceedings, 16th International Meshing Roundtable, September 2007, pp. 233-250. Sandia National Laboratories (2007)
20. Mitchell, S.A., Tautges, T.J.: Pillowing doublets: Refining a mesh to ensure that faces share at most one edge. In: Proceedings, 4th International Meshing Roundtable, October 1995, pp. 231-240. Sandia National Laboratories (1995)
21. Staten, M.L., Benzley, S.E., Scott, M.A.: A methodology for quadrilateral finite element mesh coarsening. Engineering With Computers 24 (2008)
22. Knupp, P.M.: Algebraic mesh quality metrics for unstructured initial meshes. Finite Elements in Analysis and Design 39, 217-241 (2003)
23. Knupp, P.M.: Hexahedral and tetrahedral mesh shape optimization. International Journal for Numerical Methods in Engineering 58(1), 319-332 (2003)
24. Knupp, P.M.: Algebraic mesh quality metrics. SIAM J. Sci. Comput. 23(1), 193-218 (2001)
25. Shepherd, J.F., Zhang, Y., Tuttle, C., Silva, C.T.: Quality improvement and boolean-like cutting operations in hexahedral meshes. In: Proceedings, 10th Conference of the International Society of Grid Generation, Crete, Greece (September 2007)