Title: THE WHISKER WEAVING ALGORITHM: A CONNECTIVITY-BASED METHOD FOR CONSTRUCTING ALL-HEXAHEDRAL FINITE ELEMENT MESHES
Abstract: International Journal for Numerical Methods in EngineeringVolume 39, Issue 19 p. 3327-3349 Research Article THE WHISKER WEAVING ALGORITHM: A CONNECTIVITY-BASED METHOD FOR CONSTRUCTING ALL-HEXAHEDRAL FINITE ELEMENT MESHES T. J. TAUTGES, Corresponding Author T. J. TAUTGES Parallel Computing Sciences Dept., Sandia National Laboratories, Albuquerque, NM 87185, U.S.A.Parallel Computing Sciences Dept., Sandia National Laboratories, Albuquerque, NM 87185, U.S.A.Search for more papers by this authorT. BLACKER, T. BLACKER Fluid Dynamics International, 500 Davis St., Suite 600, Evanston, IL 60201, U.S.A.Search for more papers by this authorS. A. MITCHELL, S. A. MITCHELL Parallel Computing Sciences Dept., Sandia National Laboratories, Albuquerque, NM 87185, U.S.A.Search for more papers by this author T. J. TAUTGES, Corresponding Author T. J. TAUTGES Parallel Computing Sciences Dept., Sandia National Laboratories, Albuquerque, NM 87185, U.S.A.Parallel Computing Sciences Dept., Sandia National Laboratories, Albuquerque, NM 87185, U.S.A.Search for more papers by this authorT. BLACKER, T. BLACKER Fluid Dynamics International, 500 Davis St., Suite 600, Evanston, IL 60201, U.S.A.Search for more papers by this authorS. A. MITCHELL, S. A. MITCHELL Parallel Computing Sciences Dept., Sandia National Laboratories, Albuquerque, NM 87185, U.S.A.Search for more papers by this author First published: 15 October 1996 https://doi.org/10.1002/(SICI)1097-0207(19961015)39:19<3327::AID-NME2>3.0.CO;2-HCitations: 156AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat Abstract This paper introduces a new algorithm called whisker weaving for constructing unstructured, all-hexahedral finite element meshes. Whisker weaving is based on the Spatial Twist Continuum (STC), a global interpretation of the geometric dual of an all-hexahedral mesh. Whisker weaving begins with a closed, all-quadrilateral surface mesh bounding a solid geometry, then constructs hexahedral element connectivity advancing into the solid. The result of the whisker weaving algorithm is a complete representation of hex mesh connectivity only: Actual mesh node locations are determined afterwards. The basic step of whisker weaving is to form a hexahedral element by crossing or intersecting dual entities. This operation, combined with seaming or joining operations in dual space, is sufficient to mesh simple block problems. When meshing more complex geometries, certain other dual entities appear such as blind chords, merged sheets, and self-intersecting chords. Occasionally specific types of invalid connectivity arise. These are detected by a general method based on repeated STC edges. This leads into a strategy for resolving some cases of invalidities immediately. The whisker weaving implementation has so far been successful at generating meshes for simple block-type geometries and for some non-block geometries. Mesh sizes are currently limited to a few hundred elements. While the size and complexity of meshes generated by whisker weaving are currently limited, the algorithm shows promise for extension to much more general problems. Citing Literature Volume39, Issue1915 October 1996Pages 3327-3349 RelatedInformation
Publication Year: 1996
Publication Date: 1996-10-15
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 230
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