Automatic all quadrilateral mesh adaption through refinement and coarsening

Proceedings of the 18th International Meshing Roundtable, IMR 2009

Volumn , Issue , 2009, Pages 557-574

  Anderson, Bret D ^a   Benzley, Steven E ^a   Owen, Steven J ^b  

^a BRIGHAM YOUNG UNIVERSITY   (United States)

^b SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

Adaptivity; Coarsening; Quadrilateral; Refinement

Indexed keywords

ADAPTIVITY; MESH ADAPTATION; MESH REFINEMENT; QUADRILATERAL; QUADRILATERAL MESHES; QUALITY IMPROVEMENT; REFINEMENT; REFINEMENT METHODS;

COARSENING;

EID: 84878184292     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1007/978-3-642-04319-2_32     Document Type: Conference Paper

References (26)

1. Parrish, M., Borden, M., Staten, M.L., Benzley, S.E.: A Selective Approach to Conformal Refinement of Unstructured Hexahedral Finite Element Meshes. In: Proceedings of 16th International Meshing Roundtable, pp. 251-268 (2007)
2. Dewey, M.W.: Automated Quadrilateral Coarsening by Ring Collapse, Master's Thesis, Brigham Young University, Provo (2008)
3. Anderson, B.D., Shepherd, J.F., Daniels, J., Benzley, S.E.: Quadrilateral Mesh Improvement, Research Note. In: 17th International Meshing Roundtable (2008)
4. Blacker, T.D., Stephenson, M.B.: Paving: A New Approach to Automated Quadrilateral Mesh Generation. International Journal for Numerical Methods in Engineering 32(4), 811-847 (1991)
5. Quadros, W.R., Vyas, V., Brewer, M., Owen, S.J., Shimada, K.: A Computational Framework for Generating Sizing Function in Assembly Meshing. In: Proceedings of 14th International Meshing Roundtable, pp. 55-72 (2005)
6. Borouchaki, H., Frey, P.J.: Optimization Tools for Adaptive Surface Meshing, AMD Trends in Unstructured Mesh Generation. ASME 220, 81-88 (1997)
7. Borouchaki, H., Frey, P.J.: Adaptive Triangular Quadrilateral Mesh Generation. International Journal for Numerical Methods in Engineering 41, 915-934 (1998)
8. Feng, Y.T., Peric, D.: Coarse Mesh Evolution Strategies in the Galerkin Multigrid Method with Adaptive Remeshing for Geometrically Non-linear Problems. International Journal for Numerical Methods in Engineering 49, 547-571 (2000)
9. Botkin, M.E., Wang, H.P.: An Adaptive Mesh Refinement of Quadrilateral Finite Element Meshes Based upon an a posteriori Error Estimation of Quantities of Interest: Modal Response. Engineering with Computers 20, 38-44 (2004)
10. Baehmann, P.L., Shephard, M.S.: Adaptive Multiple-Level h-Refinement in Automated Finite Element Analyses. Engineering with Computers 5, 235-247 (1989)
11. Branets, L., Carey, G.F.: Smoothing and Adaptive Redistribution for Grids with Irregular Valence and Hanging Nodes. In: Proceedings of 13th International Meshing Roundtable, pp. 333-344 (2004)
12. Zhang, Y., Bajaj, C.: Adaptive and Quality Quadrilateral/Hexahedral Meshing From Volumetric Data. In: Proceedings of 13th International Meshing Roundtable, pp. 365-376 (2004)
13. Jiao, X., Colombi, A., Ni, X., Hart, J.C.: Anisotropic Mesh Adaptation for Evolving Triangulated Surfaces. In: Proceedings of 15th International Meshing Roundtable, pp. 173-190 (2006)
14. Sandhu, J.S., Menandro, F.C.M., Liebowitz, H.: Hierarchical Mesh Adaptation of 2D Quadrilateral Elements. Engineering Fracture Mechanics 50, 727-735 (1995)
15. Albuquerque, N.M.: Cubit 11.1 user documentation, Sandia National Laboratories (2009), http://cubit.sandia.gov/documentation.html
16. Borouchaki, H., Hecht, F., Frey, P.J.: Mesh Gradation Control. International Journal for Numerical Methods in Engineering 13, 1143-1165 (1998)
17. Persson, P.-O.: Mesh Size Functions for Implicit Geometries and PDE-based Gradient Limiting. Engineering with Computers 22(2), 95-109 (2006)
18. Schneiders, R.: Refining Quadrilateral and Hexahedral Element Meshes. Numerical Grid Generation in Computational Field Simulations 1, 679-688 (1996)
19. Staten, M.L., Benzley, S.E., Scott, M.: A Methodology for Quadrilateral Finite Element Mesh Coarsening. Engineering with Computers 24, 241-251 (2008)
20. Kinney, P.: Cleanup: Improving Quadrilateral Finite Element Meshes. In: Proceedings of 6th International Meshing Roundtable, pp. 449-461 (1997)
21. CUBIT 11.1 Geometry and Mesh Generation Toolkit, Sandia National Laboratories (2009), http://cubit.sandia.gov
22. Anderson, B.D.: Automated All Quadrilateral Mesh Adaptation through Refinement and Coarsening, Master's Thesis, Brigham Young University, Provo (2009)
23. ADINA-AUI 8.5.2, ADINA R & D Inc. (2008), http://www.adina.com
24. Hansen, G., Zardecki, A.: Unstructured Surface Mesh Adaptation Using the Laplace-Beltrami Target Metric Approach. Journal of Computational Physics 225, 165-182 (2007)
25. Harris, N.: Conformal Refinement of All-Hexahedral Finite Element Meshes, Master's Thesis, Brigham Young University, Provo (2004)
26. Woodbury, A.: Localized Coarsening of Conforming All-Hexahedral Meshes, Master's Thesis, Brigham Young University, Provo (2008)