Abstract
This paper presents a new computational method for identifying side faces of thin-walled solids that can be excluded from the first step of conformal transformation from a tet mesh to an all-hex mesh. By excluding such side faces, all-hex meshes created by the conformal transformation method better align with the boundary of the side faces and tend to exhibit better scaled Jacobian quality. The proposed method first finds seeds of the candidate faces that may belong to the side faces. Then the candidate faces are grown across edges that have a low dihedral angle. Finally the candidate faces are retracted until no edge between a candidate face and non-candidate face has a low dihedral angle. Experimental results demonstrate clearly improvement of the element-boundary alignment and scaled Jacobian quality.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Yamakawa, S., Shimada, K.: Automatic All-Hexahedral Mesh Generation of Thin-Walled Solids via a Conformal Pyramid-less Hexahedral, Prism, and Tetrahedral Mixed Mesh. In: Proceedings of 20th Internation Meshing Roundtable, Paris, France, pp. 125–141 (2011)
Schneiders, R.: A Grid-based Algorithm for the Generation of Hexa-hedral Element Meshes. Engineering with Computers 12, 168–177 (1996)
Chiba, N., Nishigaki, I., Yamashita, Y., Takizawa, C., Fujishiro, K.: A Flexible Automatic Hexahedral Mesh Generation by Boundary-Fit Method. Computer Methods in Applied Mechanics and Engineering 161, 145–154 (1998)
Li, H., Cheng, G.: New Method for Graded Mesh Generation of All Hexahedral Finite Elements. Computers and Structures 76, 729–740 (2000)
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)
Hariya, M., Nishigaki, I., Kataoka, I., Hiro, Y.: Automatic Hexa-hedral Mesh Generation with Feature Line Extraction. In: Proceedings of 15th International Meshing Roundtable, Birmingham, AL, pp. 453–467 (2006)
Owen, S.J., Shepherd, J.F.: Embedding Features in a Cartesian Grid. In: Proceedings of 18th International Meshing Roundtable, Salt Lake City, UT, pp. 117–138 (2009)
Schneiders, R., Schindler, R., Weiler, F.: Octree-based Generation of Hexahedral Element Meshes. In: Proceedings of 5th International Meshing Roundtable, Pittsburgh, PA, pp. 205–215 (1996)
Maréchal, L.: A New Approach to Octree-Based Hexahedral Meshing. In: Proceedings of 10th International Meshing Roundtable, New-port Beach, CA, pp. 209–221 (2001)
Maréchal, L.: Advances in Octree-Based All-Hexahedral Mesh Generation: Handling Sharp Features. In: Proceedings of 18th International Meshing Roundtable, Salt Lake City, UT, pp. 65–85 (2009)
Qian, J., Zhang, Y.: Sharp Feature Preservation in Octree-Based Hexahedral Mesh Generation for CAD Assembly Models. In: Proceedings of 19th International Meshing Roundtable, Chattanooga, TN, pp. 243–262 (2010)
Gregson, J., Sheffer, A., Zhang, E.: All-Hex Mesh Generation via Volumetric PolyCube Deformation. Computer Graphics Forum 30, 1407–1416 (2011)
Merkley, K., Ernst, C., Shepherd, J.F., Borden, M.J.: Methods and Applications of Generalized Sheet Insertion for Hexahedral Meshing. In: Proceedings of 16th International Meshing Roundtable, Seattle, WA, pp. 233–250 (2007)
Gumhold, S., Wang, X., MacLeod, R.: Feature Extraction from Point Clouds. In: Proceedings of 10th International Meshing Roundtable, Newport Beach, CA, pp. 293–305 (2001)
Nomura, M., Hamada, N.: Feature Edge Extraction from 3D Triangular Meshes Using a Thinning Algorithm. In: Proceedings of SPIE - Vision Geometry X, San Diego, CA, pp. 34–41 (2001)
Jiao, X., Heath, M.T.: Overlaying Surface Meshes, Part II: To-pology Preservation and Feature Detection. International Journal on Computational Geometry and Applications 14, 403–419 (2004)
Yamakawa, S., Shimada, K.: Polygon Crawling: Feature-Edge Extraction from a General Polygonal Surface for Mesh Generation. In: Proceedings of 14th International Meshing Roundtable, San Diego, CA, pp. 257–275 (2005)
Ribelles, J., Heckbert, P., Garland, M., Stahovich, T., Srivastava, V.: Finding and Removing Features from Polyhedra. In: Proceedings of ASME Design Automation Conference, Pittsburgh PA (2001)
Yin, L., Luo, X., Shephard, M.S.: Identifying and Meshing Thin Sections of 3-d Curved Domains. In: Proceedings of 14th International Meshing Roundtable, San Diego, CA, pp. 33–54 (2005)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Yamakawa, S., Shimada, K. (2013). Improving Element-Boundary Alignment in All-Hex Meshes of Thin-Walled Solids by Side-Face Identification. In: Jiao, X., Weill, JC. (eds) Proceedings of the 21st International Meshing Roundtable. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33573-0_30
Download citation
DOI: https://doi.org/10.1007/978-3-642-33573-0_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-33572-3
Online ISBN: 978-3-642-33573-0
eBook Packages: EngineeringEngineering (R0)