A methodology for quadrilateral finite element mesh coarsening
Abstract
High fidelity finite element modeling of continuum mechanics problems often requires using all quadrilateral or all hexahedral meshes. The efficiency of such models is often dependent upon the ability to adapt a mesh to the physics of the phenomena. Adapting a mesh requires the ability to both refine and/or coarsen the mesh. The algorithms available to refine and coarsen triangular and tetrahedral meshes are very robust and efficient. However, the ability to locally and conformally refine or coarsen all quadrilateral and all hexahedral meshes presents many difficulties. Some research has been done on localized conformal refinement of quadrilateral and hexahedral meshes. However, little work has been done on localized conformal coarsening of quadrilateral and hexahedral meshes. A general method which provides both localized conformal coarsening and refinement for quadrilateral meshes is presented in this paper. This method is based on restructuring the mesh with simplex manipulations to the dual of the mesh. Finally, this method appears to be extensible to hexahedral meshes in three dimensions.
- Authors:
-
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Brigham Young University, Provo, UT (United States)
- Univ. of Texas, Austin, TX (United States). Institute for Computational Engineering and Sciences (ICES)
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1426953
- Report Number(s):
- SAND-2007-1498J
Journal ID: ISSN 0177-0667; 526842
- Grant/Contract Number:
- AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Engineering with Computers
- Additional Journal Information:
- Journal Volume: 24; Journal Issue: 3; Journal ID: ISSN 0177-0667
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING; Adaptivity; Quadrilateral; Coarsening; Refinement; Finite elements
Citation Formats
Staten, Matthew L., Benzley, Steven, and Scott, Michael. A methodology for quadrilateral finite element mesh coarsening. United States: N. p., 2008.
Web. doi:10.1007/s00366-008-0097-y.
Staten, Matthew L., Benzley, Steven, & Scott, Michael. A methodology for quadrilateral finite element mesh coarsening. United States. doi:10.1007/s00366-008-0097-y.
Staten, Matthew L., Benzley, Steven, and Scott, Michael. Thu .
"A methodology for quadrilateral finite element mesh coarsening". United States. doi:10.1007/s00366-008-0097-y. https://www.osti.gov/servlets/purl/1426953.
@article{osti_1426953,
title = {A methodology for quadrilateral finite element mesh coarsening},
author = {Staten, Matthew L. and Benzley, Steven and Scott, Michael},
abstractNote = {High fidelity finite element modeling of continuum mechanics problems often requires using all quadrilateral or all hexahedral meshes. The efficiency of such models is often dependent upon the ability to adapt a mesh to the physics of the phenomena. Adapting a mesh requires the ability to both refine and/or coarsen the mesh. The algorithms available to refine and coarsen triangular and tetrahedral meshes are very robust and efficient. However, the ability to locally and conformally refine or coarsen all quadrilateral and all hexahedral meshes presents many difficulties. Some research has been done on localized conformal refinement of quadrilateral and hexahedral meshes. However, little work has been done on localized conformal coarsening of quadrilateral and hexahedral meshes. A general method which provides both localized conformal coarsening and refinement for quadrilateral meshes is presented in this paper. This method is based on restructuring the mesh with simplex manipulations to the dual of the mesh. Finally, this method appears to be extensible to hexahedral meshes in three dimensions.},
doi = {10.1007/s00366-008-0097-y},
journal = {Engineering with Computers},
number = 3,
volume = 24,
place = {United States},
year = {2008},
month = {3}
}
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Works referenced in this record:
Parallel refinement and coarsening of tetrahedral meshes
journal, November 1999
- De Cougny, H. L.; Shephard, M. S.
- International Journal for Numerical Methods in Engineering, Vol. 46, Issue 7
New method for graded mesh generation of all hexahedral finite elements
journal, July 2000
- Li, Hua; Cheng, Gengdong
- Computers & Structures, Vol. 76, Issue 6
Automated refinement of conformal quadrilateral and hexahedral meshes
journal, March 2004
- Tchon, Ko-Foa; Dompierre, Julien; sCamarero, Ricardo
- International Journal for Numerical Methods in Engineering, Vol. 59, Issue 12
Octree-Based Hexahedral mesh Generation
journal, August 2000
- Schneiders, Robert
- International Journal of Computational Geometry & Applications, Vol. 10, Issue 04
Octree-based hexahedral mesh generation for viscous flow simulations
conference, February 2013
- Tchon, Ko-Foa; Hirsch, Charles; Schneiders, Robert
- 13th Computational Fluid Dynamics Conference
Remeshing for metal forming simulations?Part II: Three-dimensional hexahedral mesh generation
journal, January 2002
- Kwak, Dae-Young; Im, Yong-Taek
- International Journal for Numerical Methods in Engineering, Vol. 53, Issue 11
Local refinement of three-dimensional finite element meshes
journal, September 1997
- Staten, M. L.; Jones, N. L.
- Engineering with Computers, Vol. 13, Issue 3
Conformal Refinement and Coarsening of Unstructured Hexahedral Meshes
journal, June 2005
- Benzley, Steven E.; Harris, Nathan J.; Scott, Michael
- Journal of Computing and Information Science in Engineering, Vol. 5, Issue 4
The Whisker Weaving Algorithm: a Connectivity-Based Method for Constructing All-Hexahedral Finite Element Meshes
journal, October 1996
- Tautges, T. J.; Blacker, T.; Mitchell, S. A.
- International Journal for Numerical Methods in Engineering, Vol. 39, Issue 19
A dynamic adaptation scheme for general 3-D hybrid meshes
journal, November 2005
- Kallinderis, Yannis; Kavouklis, Christos
- Computer Methods in Applied Mechanics and Engineering, Vol. 194, Issue 48-49
The spatial twist continuum: A connectivity based method for representing all-hexahedral finite element meshes
journal, December 1997
- Murdoch, Peter; Benzley, Steven; Blacker, Ted
- Finite Elements in Analysis and Design, Vol. 28, Issue 2
Parallel refinement and coarsening of tetrahedral meshes
journal, November 1999
- De Cougny, H. L.; Shephard, M. S.
- International Journal for Numerical Methods in Engineering, Vol. 46, Issue 7
Local refinement of three-dimensional finite element meshes
journal, September 1997
- Staten, M. L.; Jones, N. L.
- Engineering with Computers, Vol. 13, Issue 3
Octree-Based Hexahedral mesh Generation
journal, August 2000
- Schneiders, Robert
- International Journal of Computational Geometry & Applications, Vol. 10, Issue 04
New method for graded mesh generation of all hexahedral finite elements
journal, July 2000
- Li, Hua; Cheng, Gengdong
- Computers & Structures, Vol. 76, Issue 6
The Whisker Weaving Algorithm: a Connectivity-Based Method for Constructing All-Hexahedral Finite Element Meshes
journal, October 1996
- Tautges, T. J.; Blacker, T.; Mitchell, S. A.
- International Journal for Numerical Methods in Engineering, Vol. 39, Issue 19
The spatial twist continuum: A connectivity based method for representing all-hexahedral finite element meshes
journal, December 1997
- Murdoch, Peter; Benzley, Steven; Blacker, Ted
- Finite Elements in Analysis and Design, Vol. 28, Issue 2
Works referencing / citing this record:
Semi-regular Quadrilateral-only Remeshing from Simplified Base Domains
journal, July 2009
- Daniels, Joel; Silva, Claudio T.; Cohen, Elaine
- Computer Graphics Forum, Vol. 28, Issue 5