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Whisker Weaving/Spatial Twist Continuum

 Topological method for construction of a hex mesh

MESHING
RESEARCH
CORNER

Calvo, Nestor A. and Sergio R. Idelsohn

    "All-hexahedral element meshing: Generation of the dual mesh by recurrent subdivision", Computer methods in applied mechanics and engineering, Elsevier, Vol 182, pp.371-378, 2000
    keywords:
    • hexahedra
      		•
    • non-structured
    • dual
      		•
    • STC
    Abstract

Carbonera, Carlos D. and Jason F. Shepherd
    "A Constructive Approach to Constrained Hexahedral Mesh Generation", Proceedings, 15th International Meshing Roundtable, Springer-Verlag, pp.435-452, September 17-20 2006
    keywords:
    • hexahedra
      		•
    • STC
    • Schneider’s pyramid
      		•
    • constrained hexahedral meshing
    Abstract
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Folwell, Nathan T. and Scott A. Mitchell
    "Reliable Whisker Weaving via Curve Contraction", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.365-378, October 1998
    keywords:
    • hexahedra
      		•
    • whisker weaving
    • topology
      		•
    • curve contraction
    • advancing front
      		•
    Abstract
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Harris, Nathan J., Steven E. Benzley and Steven J. Owen
    "Conformal Refinement of All-Hexahedral Element Meshes Based on Multiple Twist Plane Insertion", Proceedings, 13th International Meshing Roundtable, Williamsburg, VA, Sandia National Laboratories, SAND #2004-3765C, pp.157-168, September 19-22 2004
    keywords:
    • adaptation
      		•
    • conformal refinement
    • hexahedra
      		•
    • refinement
    • STC
      		•
    Abstract
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June, Joseph, Clark Dohrmann, Walt Witkowski, Paul Wolfenbarger, Walter Gerstle, Scott Mitchell, Malcolm Panthaki, Dan Segalman
    "A Global Optimization Approach to Quadrilateral Meshing", Proceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.155, October 1997
    keywords:
    • quadrilateral
      		•
    • STC
    • whisker weaving
      		•
    Abstract
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Mitchell, Scott A.
    "The All-Hex Geode-Template for Conforming a Diced Tetrahedral Mesh to any Diced Hexahedral Mesh", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.295-305, October 1998
    keywords:
    • hexahedra
      		•
    • tetrahedra
    • conforming
      		•
    • transition
    • whisker weaving
      		•
    • geode template
    • Cubit
      		•
    Abstract
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Mitchell, Scott A. and Timmothy J. Tautges
    "Pillowing Doublets: Refining A Mesh to Ensure That Faces Share At Most One Edge", Proceedings, 4th Internatinal Meshing Roundtable, Sandia National Laboratories, pp.231-240, October 1995
    keywords:
    • doublet
      		•
    • hexahedron
    • plastering
      		•
    • refinement
    • whisker weaving
      		•
    Abstract
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Muller-Hannemann, Matthias
    "Hexahedral Mesh Generation by Successive Dual Cycle Elimination", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.365-378, October 1998
    keywords:
    • hexahedra
      		•
    • whisker weaving
    • dual cycle
      		•
    • combinatorial dual
    • hex complex
      		•
    • planar graphs
    • cycle elimination
      		•
    Abstract
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Murdoch, Peter and Steven E. Benzley
    "The Spatial Twist Continuum", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.243-251, October 1995
    keywords:
    • hexahedron
      		•
    • spatial twist continuum (STC)
    Abstract

Murdoch, Peter, Steven Benzley, Ted Blacker and Scott A. Mitchell
    "A Connectivity Based Method for Representing and Constructing All-Hexahedral Finite Element Meshes", 1995
    keywords:
    • hexahedron
      		•
    • STC
    • mesh dual
      		•
    Abstract

Nowottny, Dietrich
    "Quadrilateral Mesh Generation Via The Dual Graph Method", submitted to International Journal Numerical Methods in Engineering, pp.1-30, September 1999
    keywords:
    • quadrilateral
      		•
    • dual techniques
    • graph theory
      		•
    • STC
    Abstract

Owen, Steven J.
    "A Survey of Unstructured Mesh Generation Technology", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.239-267, October 1998
    keywords:
    • overview
      		•
    • classification
    • software
      		•
    • triangle
    • quadrilateral
      		•
    • tetrahedra
    • hexahedra
      		•
    • surface meshing
    • refinement
      		•
    • clean-up
    • smoothing
      		•
    • Delaunay
    • advancing front
      		•
    • octree
    • plastering
      		•
    • paving
    • whisker weaving
      		•
    • grid-based
    • indirect
      		•
    Abstract
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Suzuki, Tatsuhiko, Shigeo Takahashi, Jason Shepherd
    "An Interior Surface Generation Method for All-Hexahedral Meshing", Proceedings, 14th International Meshing Roundtable, Springer-Verlag, pp.377-398, September 11-14 2005
    keywords:
    • hexahedra
      		•
    • interior surface arrangement
    • Schneiders' pyramid
      		•
    • dual hexahedra
    • STC
      		•
    • dual cycle
    Abstract
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Tautges, Timothy J. and Sarah E. Knoop
    "Topology modification of hexahedral meshes using atomic dual-based operations", Proceedings, 12th International Meshing Roundtable, Sandia National Laboratories, pp.415-423, Sept. 2003
    keywords:
    • hexahedra
      		•
    • arrangements
    • dual
      		•
    • simple polytope
    • hex topology operators
      		•
    • topology improvement
    • STC
      		•
    Abstract
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Tautges, Timothy J. and Scott A. Mitchell
    "Whisker Weaving: Invalid Connectivity Resolution and Primal Construction Algorithm", Proceedings, 4th International Meshing Roundtable, Sandia National Laboratories, pp.115-127, October 1995
    keywords:
    • clean-up
      		•
    • hexahedron
    • spatial twist continuum (STC)
      		•
    • whisker weaving
    Abstract
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Tautges, Timothy J. and Scott A. Mitchell
    "Progress Report on the Whisker Weaving All-Hexahedral Meshing Algorithm", 5th International Conference on Numerical Grid Generation in Computational Field Simulations, Mississippi State University, pp.659-670, April 1996
    keywords:
    • doublet
      		•
    • hexahedron
    • spatial twist continuum (STC)
      		•
    • whisker weaving
    Abstract

Tautges, Timothy J., Ted Blacker, Scott A. Mitchell
    "The Whisker Weaving Algorithm: A Connectivity-Based Method for Constructing All-Hexahedral Finite Element Meshes", International Journal for Numerical Methods in Engineering, Wiley, Vol 39, pp.3327-3349, 1996
    keywords:
    • hexahedra
      		•
    • STC
    • whisker weaving
      		•
    Abstract

Wolfenbarger, Paul, Joseph Jung, Clark R. Dohrmann, Walter R. Witkowski, Malcolm J. Panthaki, Walter H. Gerstle
    "A Global Minimization-Based, Automatic Quadrilateral Meshing Algorithm", Proceedings, 7th International Meshing Roundtable, Sandia National Lab, pp.87-103, October 1998
    keywords:
    • quadrilateral
      		•
    • whisker weaving
    • global minimization-based meshing
      		•
    Abstract
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