Skip to main content

An Extension of the Reliable Whisker Weaving Algorithm

  • Conference paper
Proceedings of the 16th International Meshing Roundtable

Summary

In many FEM applications, hexahedral meshes are necessary to get the best results. However the automatic generation of an hexahedral mesh from an arbitrary 3D geometry still remains a challenge. In this paper, we propose an extension of the reliable Whisker Weaving algorithm [6]. The Whisker Weaving algorithm starts from a pre-meshed quadrilateral surface, it generates hexahedral meshes for a large spectrum of 3D geometries successfully, but it often creates poor-shaped hex elements. We show that considering geometric information in the shrinking loop selection process can provide better results. We introduce criteria to handle non-convex geometries, parallel loops and sheets bounded by several loops.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • M. Bern and D. Eppstein. Flipping Cubical Meshes. ACM Computer Science Archive, 2002. http://www.arXiv.org/cs.CG/108020.

    Google Scholar 

  • T.D. Blacker and R.J. Meyers. Seams and Wedges in Plastering: A 3D Hexahedral Mesh Generation Algorithm. Engineering with Computers, 9:83–93, 1993.

    Article  Google Scholar 

  • T.D. Blacker, S.A. Mitchell, T.J. Tautges, P. Murdock, and S.E. Benzley. Forming and Resolving Wedges in the Spatial Twist Continuum. Engineering With Computers, 13:35–47, 1997.

    Article  Google Scholar 

  • T.D. Blacker and M.B. Stephenson. Paving: A New Approach to Automated Quadrilateral Mesh Generation. International Journal for Numerical Methods in Engineering, 32:811–847, 1991.

    Article  MATH  Google Scholar 

  • N.A. Calvo and S.R. Idelsohn. All-hexahedral element meshing: Generation of the dual mesh by recurrent subdivision. Computer Methods in Applied Mechanics and Engineering, pages 371–378, 2000.

    Google Scholar 

  • N.T. Folwell and S.A. Mitchell. Reliable Whisker Weaving via Curve Contraction. 7th International Meshing Roundtable, pages 365–378, 1998.

    Google Scholar 

  • S.A. Mitchell. A Characterization of the Quadrilateral Meshes of a Surface Which Admit a Compatible Hexahedral Mesh of the Enclosed Volume. In Springer, editor, 13th Annual Symposium on Theoretical Aspects of Computer Science, pages 465–476, 1996.

    Google Scholar 

  • S.A. Mitchell and T.J. Tautges. Pillowing Doublets: Refining a Mesh to Ensure that Faces Share at Most One Edge. 4th International Meshing Roundtable, pages 231–240, 1995.

    Google Scholar 

  • M. Muller-Hannemann. Shelling Hexahedral Complexes for Mesh Generation. Journal of Graph Algorithms and Applications, 5(5):59–91, 2001.

    MathSciNet  Google Scholar 

  • M. Muller-Hannemann. Quadrilateral surface meshes without self-intersecting dual cycles for hexahedral mesh generation. Computational Geometry, 22:75–97, 2002.

    Article  MathSciNet  Google Scholar 

  • S.J. Owen, M.L. Staten, S.A. Canann, and S. Saigal. Q-Morph: An Indirect Approach to Advancing Front Quad Meshing. International Journal for Numerical Methods in Engineering, 44:1317–1340, 1999.

    Article  MATH  Google Scholar 

  • M.L. Staten, R.A. Kerr, S.J. Owen, and T.D. Blacker. Unconstrained Paving and Plastering: Progress Update. 14th International Meshing Roundtable, pages 469–486, 2006.

    Google Scholar 

  • M.L. Staten, S.J. Owen, and T.D. Blacker. Unconstrained Paving and Plastering: A New Idea For All Hexahedral Mesh Generation. 14th International Meshing Roundtable, pages 399–416, 2005.

    Google Scholar 

  • M.B. Stephenson, S.A. Canann, and T.D. Blacker. Plastering: a new approach to automated 3D hexahedral mesh generation. Progress Report, 1992. SAND89-2192.

    Google Scholar 

  • T. Suzuki, S. Takahashi, and J. Shepherd. An Interior Surface Mesh Generation Method For All-Hexahedral Meshing. 14th International Meshing Roundtable, pages 377–398, 2005.

    Google Scholar 

  • T.J. Tautges, T.D. Blacker, and S.A. Mitchell. The Whisker Weaving algorithm: A Connectivity-based Method for Constructing All-hexahedral Finite Element Meshes. International Journal for Numerical Methods in Engineering, 39:3327–3349, 1996.

    Article  MATH  MathSciNet  Google Scholar 

  • T.J. Tautges and S.E. Knoop. Topology Modification of Hexahderal Meshes using Atomic Dual-Based operations. 12th International Meshing Roundtable, pages 415–423, 2003.

    Google Scholar 

  • T.J. Tautges and S.A. Mitchell. Whisker Weaving: Invalid Connectivity resolutions and Primal Construction Algorithm. 4th International Meshing Roundtable, pages 115–127, 1995.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ledoux, F., Weill, JC. (2008). An Extension of the Reliable Whisker Weaving Algorithm. In: Brewer, M.L., Marcum, D. (eds) Proceedings of the 16th International Meshing Roundtable. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75103-8_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-75103-8_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75102-1

  • Online ISBN: 978-3-540-75103-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics