Automated refinement of conformal quadrilateral and hexahedral meshes

International Journal for Numerical Methods in Engineering

Volumn 59, Issue 12, 2004, Pages 1539-1562

  Tchon, Ko Foa ^a   Dompierre, Julien ^a   Camarero, Ricardo ^a  

^a CERCA   (Canada)

Author keywords

Anisotropic metric; Conformal refinement; Hexahedral; Quadrilateral; Unstructured mesh

Indexed keywords

ANISOTROPY; CONFORMAL MAPPING; CONTINUOUS CASTING; GEOTEXTILES; NON NEWTONIAN FLOW; SHRINKAGE;

BUFFER INSERTION; CONFORMAL REFINEMENT;

CONTINUUM MECHANICS;

MATHEMATICAL METHOD;

EID: 1842736020     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/nme.926     Document Type: Article

References (35)

1. George P-L, Borouchaki H. Delaunay Triangulation and Meshing, Applications to Finite Elements. Hermès: Paris, 1998.
2. Frey PJ, George P-L. Mesh Generation, Application to Finite Elements. Hermès: Paris, 2000.
3. Eppstein D. Global optimization of mesh quality. Tutorial presented at the 10th International Meshing Roundtable, Sandia National Laboratories, Newport Beach CA, 2001, http://www.ics.uci.edu/~eppstein/pubs/geom-tri.html.
4. Dompierre J, Labbé P, Ghuibault F. OORT (Object-Oriented Remeshing Toolkit). http://www.cerca.umontreal.ca/oort.
5. Aït-Ali-Yahia D, Baruzzi G, Habashi WG, Fortin M, Dompierre J, Vallet M-G. Anisotropic mesh adaptation: Towards user-independent, mesh-independent and solver-independent CFD. Part II: Structured grids. International Journal for Numerical Methods in Fluids 2002; 39:657-673.
6. Blacker TD, Stephenson MB. Paving: A new approach to automated quadrilateral mesh generation. International Journal for Numerical Methods in Engineering 1991; 32:811-847.
7. Blacker TD, Meyers RJ. Seams and wedges in plastering: a 3D hexahedral mesh generation algorithm. Engineering with Computers 1993; 2:83-93.
8. Tautges TJ, Blacker TD, Mitchell SA. The whisker weaving algorithm: a connectivity-based method for constructing all-hexahedral finite element meshes. International Journal for Numerical Methods in Engineering 1996; 39:3327-3349.
9. Armstrong CG, Robinson DJ, McKeag RM, Li TS, Bridgett SJ, Donaghy RJ, McGleenan CA. Medials for meshing and more. 4th International Meshing Roundtable, Sandia National Laboratories, Albuquerque, NM, 1995; 277-288.
10. th International Meshing Roundtable, Sandia National Laboratories, Dearborn, MI, 1998, 347-364.
11. Schneiders R. A grid-based algorithm for the generation of hexahedral element meshes. Engineering with Computers 1996; 12:168-177.
12. Schneiders R. Octree-based hexahedral mesh generation. International Journal of Computational, Geometry and Applications 2000; 10:383-398.
13. th International Meshing Roundtable, Sandia National Laboratories, Newport Beach, CA, 2001; 209-221.
14. Borouchaki H, Frey PJ. Adaptive triangular-quadrilateral mesh generation. International Journal for Numerical Methods in Engineering 1998; 41:915-934.
15. th International Meshing Roundtable, Sandia National Laboratories, Dearborn, MI, 1998, 409-428.
16. th International Meshing Roundtable, Sandia National Laboratories, New Orleans, LA, 2000, 217-225.
17. Schneiders R. Refining quadrilateral and hexahedral element meshes. 5th International Conference on Numerical Grid Generation in Computational Field Simulations, Mississippi State University, 1996, 679-688.
18. Mitchell SA, Tautges TJ. Pillowing doublets: refining a mesh to ensure that faces share at most one edge. 4th International Meshing Roundtable, Sandia National Laboratories, Albuquerque, NM, 1995; 231-240.
19. Borden M, Benzley S, Mitchell SA, White DR, Meyers R. The cleave and fill tool: an all-hexahedral refinement algorithm for swept meshes. 9th International Meshing Roundtable, Sandia National Laboratories, New Orleans, LA, 2000; 69-76.
20. Murdoch P, Benzley SE. The spatial twist continuum, 4th International Meshing Roundtable, Sandia National Laboratories, Albuquerque, NM, 1995; 243-252.
21. Vallet M-G. Génération de maillages éléments finis anisotropes et adaptatifs, Ph.D. Thesis, Université Pierre et Marie Curie, Paris VI, France, 1992.
22. Remacle J-F, Li X, Chevaugeon N, Shephard MS. Transient mesh adaptation using conforming and non conforming mesh-modifications. 11th International Meshing Roundtable, Sandia National Laboratories, Ithaca, NY, 2002; 261-272.
23. Sirois Y, Dompierre J, Vallet M-G, Labbé P, Guibault F. Progress on vertex relocation schemes for structured grids in a metric space. 8th International Conference on Numerical Grid Generation, Honolulu, HI, 2002, 389-398.
24. Labbé P, Dompierre J, Vallet M-G, Guibault F, Trépanier J-Y. A measure of the conformity of a mesh to an anisotropic metric. 10th International Meshing Roundtable, Sandia National Laboratories, Newport Beach, CA, 2001; 319-326.
25. Dompierre J, Labbé P, Vallet M-G, Guibault F, Camarero R. Critères de qualité pour les maillages simpliciaux. In Maillage et adaptation, George P-L (ed). Hermès: Paris, 2001; 311-348.
26. Borouchaki H, Hecht F, Frey PJ. H-correction. Technical Report 3199, Institut National de Recherche en Informatique et en Automatique, France, 1997.
27. Dompierre J, Labbé P, Guibault F, Camarero R. Proposal of benchmarks for 3D unstructured tetrahedral mesh optimization. 7th International Meshing Roundtable, Sandia National Laboratories, Dearborn, MI, 1998; 459-478.
28. Tchon K-F, Guibault F, Dompierre J, Labbé P, Camararo R. Solution adaptive refinement of multiblock decompositions. 16th AIAA Computational Fluid Dynamics Conference, number AIAA-2003-3821, Orlando, FL, 2003.
29. Cyberware. Sample models. http://www.cyberware.com/samples/index.html.
30. Tchon K-F, Hirsch C, Schneiders R. Octree-based hexahedral mesh generator for viscous flow simulations. 13th AIAA Computational Fluid Dynamics Conference, number AIAA-97-1980, Snowmass, CO, 1997.
31. Tchon K-F, Khachan M, Guibault F, Camarero R. Constructing anisotropic geometric metrics using octrees and skeletons. 12th International Meshing Roundtable, Sandia National Laboratories, Santa Fe, NM. 2003; 293-304.
32. Staten ML, Canann SA. Post refinement element shape improvement for quadrilateral meshes. Trends in Unstructured Mesh Generation AMD-Vol. 220 ASME, 1997; 9-16.
33. Kinney P. Cleanup: Improving quadrilateral finite element meshes. 6th International Meshing Roundtable, Sandia National Laboratories, Park City, UT, 1997; 437-447.
34. Knupp P, Mitchell SA. Integration of mesh optimization with all-hex mesh generation, LDRD subcase 3504340000. Final Report. Sandia Report SAND99-2852, Sandia National Laboratories, 1999.
35. Bern M, Eppstein D. Flipping cubical meshes. 10th International Meshing Roundtable. Sandia National Laboratories, Newport Beach, CA, 2001; 19-29.