Pillowing doublets: Refining a mesh to ensure that faces share at most one edge

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Occasionally one may be confronted by a hexahedral or quadrilateral mesh containing doublets, two faces sharing two edges. In this case, no amount of smoothing will produce a mesh with agreeable element quality: in the planar case, one of these two faces will always have an angle of at least 180 degrees between the two edges. The authors describe a robust scheme for refining a hexahedral or quadrilateral mesh to separate such faces, so that any two faces share at most one edge. Note that this also ensures that two hexahedra share at most one face in the three dimensional ... continued below

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10 p.

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Mitchell, S.A. & Tautges, T.J. November 1, 1995.

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This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this article can be viewed below.

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  • Sandia National Laboratories
    Publisher Info: Sandia National Labs., Albuquerque, NM (United States)
    Place of Publication: Albuquerque, New Mexico

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Description

Occasionally one may be confronted by a hexahedral or quadrilateral mesh containing doublets, two faces sharing two edges. In this case, no amount of smoothing will produce a mesh with agreeable element quality: in the planar case, one of these two faces will always have an angle of at least 180 degrees between the two edges. The authors describe a robust scheme for refining a hexahedral or quadrilateral mesh to separate such faces, so that any two faces share at most one edge. Note that this also ensures that two hexahedra share at most one face in the three dimensional case. The authors have implemented this algorithm and incorporated it into the CUBIT mesh generation environment developed at Sandia National Laboratories.

Physical Description

10 p.

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OSTI as DE96002086

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  • 4. international meshing roundtable, Albuquerque, NM (United States), 16-17 Oct 1995

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  • Other: DE96002086
  • Report No.: SAND--95-2356C
  • Report No.: CONF-9510233--3
  • Grant Number: AC04-94AL85000
  • Office of Scientific & Technical Information Report Number: 125090
  • Archival Resource Key: ark:/67531/metadc627866

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  • November 1, 1995

Added to The UNT Digital Library

  • June 16, 2015, 7:43 a.m.

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  • April 13, 2016, 4:24 p.m.

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Mitchell, S.A. & Tautges, T.J. Pillowing doublets: Refining a mesh to ensure that faces share at most one edge, article, November 1, 1995; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc627866/: accessed September 25, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.