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All-hexahedral element meshing: Generation of the dual mesh by recurrent subdivision

✍ Scribed by Nestor A Calvo; Sergio R Idelsohn

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 455 KB
Volume: 182
Category: Article
ISSN: 0045-7825
DOI: 10.1016/s0045-7825(99)00199-1

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✦ Synopsis

The domain geometry is de®ned by means of a closed all-quadrilateral mesh. The outer mesh imposes very strong restrictions on the possible connectivities between the inner hexahedral elements. Following the guidelines of the outer topology, the inner one is almost entirely de®ned. Several ways may be decided for certain con®gurations, some of them requiring special considerations in order to achieve a valid FEM mesh. The process is entirely performed by constructing the (graph theoretical) dual of the hexahedral mesh, this means no metric information is handled until the ®nal (positioning and smoothing) steps. The essential steps of this scheme are described by means of examples.

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