A New Approach to Octree-Based Hexahedral Meshing
Proceedings, 10th International Meshing Roundtable, Sandia National Laboratories, pp.209-221, October 7-10 2001
10th International Meshing Roundtable
Newport Beach, California, U.S.A.
October 7-10, 2001
SIMULOG & INRIA, Gamma Project,
Domaine de Voluceau, Rocquencourt,
BP 105, 78153 Le Chesnay Cedex, France.
A number of algorithms have been proposed to fulfill the strong demand for fully
automated all-hexahedral meshers. Since none of them solved thoroughly the problem,
people divided it into simpler ones. They enumerated the major kinds of configurations
encountered'n industry and tried to develop a set of applications, each of them
focusing on a single problem. This paper presents a new approach to the octree-based
algorithm and aims to add a new solution to the engineer "hex-to.olkit". This method
has been introduced by R. Schneiders  and is, likewise, done in three steps: (i)
An octree structure is built around a discrete geometry. (ii) A conformal,
all-hexahedral mesh is generated by inserting the so-called conforming patterns
(which are completely new ones). (iii) The boundary of the geometry is recovered
by a smoothing technique. This rough method is fast and automated for any kind of
geometries. Furthermore, mesh adaptation for finite element computation is easily
implemented, thanks to the octree hierarchic structure.
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