Skip to main content

An Improved Hexahedral Mesh Matching Algorithm

  • Conference paper
Proceedings of the 22nd International Meshing Roundtable
  • 2003 Accesses

Summary

Mesh matching is an effective way to convert the non-conforming interfaces between two hexahedral meshes into conforming ones, which is very important for achieving high quality finite element analysis. However, the existing mesh matching algorithm is not robust and efficient enough. In this paper, the algorithm is improved in three aspects: by introducing a more precise criteria for chord matching and the concept of partition chord set, complex interfaces with internal loops can be handled more efficiently; by putting forward a mesh quality evaluation method, the sheet extraction operation during mesh matching is sped up; by bringing up a new solution, self-intersecting sheet can be inflated locally. Test results demonstrate the effectiveness of the improved mesh matching algorithm.

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

  1. Staten, M.L.: Sheet-based Generation and Modification of Unstructured Conforming All-hexahedral Finite Element Meshes. Dissertation, Carnegie Mellon University, Department of Civil and Environmental Engineering (2010)

    Google Scholar 

  2. Dohrmann, C.R., Key, S.W.: A Transition Element for Uniform Strain Hexahedral and Tetrahedral Finite Elements. International Journal for Numerical Methods in Engineering 44, 1933–1950 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  3. Trujillo, D.M., Pappoff, C.G.: A General Thermal Contact Resistance Finite Element. Finite Elements in Analysis and Design 38(3), 263–276 (2002)

    Article  MATH  Google Scholar 

  4. Dohrmann, C.R., Key, S.W., Heinstein, M.W.: Methods for Connecting Dissimilar Three-Dimentional Finite Element Meshes. International Journal for Numerical Methods in Engineering 47, 1057–1080 (2008)

    Article  Google Scholar 

  5. Blacker, T.D.: The Cooper Tool. In: Proceedings of 5th International Meshing Roundtable, pp. 13–29 (1996)

    Google Scholar 

  6. Jankovich, S.R., Benzley, S.E., Shepherd, J.F., Mitchell, S.: The Graft Tool: an All-Hexahedral Transition Algorithm for Creating a Multi-Directional Swept Volume Mesh. In: Proceedings of 8th International Meshing Roundtable, pp. 387–392 (1999)

    Google Scholar 

  7. Miyoshi, K., Blacker, T.D.: Hexahedral Mesh Generation Using Multi-Axis Cooper Algorithm. In: Proceedings of 9th International Meshing Roundtable, pp. 89–97 (2000)

    Google Scholar 

  8. Staten, M.L., Shepherd, J.F., Shimada, K.: Mesh Matching - Creating Conforming Interfaces between Hexahedral Meshes. In: Proceedings of 17th International Meshing Roundtable, pp. 467–484 (2008)

    Google Scholar 

  9. Staten, M.L., Shepherd, J.F., Ledoux, F., Shimada, K.: Hexahedral Mesh Matching: Converting Non-conforming Hexahedral-to-hexahedral Interfaces into Conforming Interfaces. International Journal for Numerical Methods in Engineering 82, 1475–1509 (2010)

    MATH  Google Scholar 

  10. Lo, S.H.: Automatic Merging of Hexahedral Meshes. Finite Elements in Analysis and Design 55, 7–22 (2012)

    Article  MathSciNet  Google Scholar 

  11. Shepherd, J.F.: Topologic and Geometric Constraint-based Hexahedral Mesh Generation. Dissertation, The University of Utah, School of Computing (2007)

    Google Scholar 

  12. Ledoux, F., Shepherd, J.F.: Topological Modifications of Hexahedral Meshes via Sheet Operations: a Theoretical Study. Engineering with Computers 26, 433–447 (2010)

    Article  Google Scholar 

  13. Merkley, K., Ernst, C.D., Shepherd, J.F., Borden, M.J.: Methods and Applications of Generalized Sheet Insertion for Hexahedral meshing. In: Proceedings of 16th International Meshing Roundtable, pp. 233–250 (2007)

    Google Scholar 

  14. Borden, M.J., Benzley, S.E., Shepherd, J.F.: Coarsening and Sheet Extraction for All-Hexahedral Meshes. In: Proceedings of 11th International Meshing Roundtable, pp. 147–152 (2002)

    Google Scholar 

  15. Staten, M.L., Benzley, S.E., Scott, M.A.: A Methodology for Quadrilateral Finite Element Mesh Coarsening. Engineering with Computers 24, 241–251 (2008)

    Article  Google Scholar 

  16. Woodbury, A.C., Shepherd, J.F., Staten, M.L., Benzley, S.E.: Localized Coarsening of Conforming All-hexahedral Meshes. In: Proceedings of 17th International Meshing Roundtable, pp. 603–619 (2008)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Chen, J., Zhu, H., Gao, S., Wu, H. (2014). An Improved Hexahedral Mesh Matching Algorithm. In: Sarrate, J., Staten, M. (eds) Proceedings of the 22nd International Meshing Roundtable. Springer, Cham. https://doi.org/10.1007/978-3-319-02335-9_11

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-02335-9_11

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-02334-2

  • Online ISBN: 978-3-319-02335-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics