The automatic generation of high-quality, all-hex meshes for complex 3D geometries would greatly reduce the Design to Analysis to Manufacturing (D2A2M) cycle time. Two essential elements in the mesh generation process are constructing the topological connectivity of the elements and constructing the geometric position of the nodes. The connectivity problem was recently solved via the Whisker Weaving (WW) and T-HEX algorithms, which both automatically produce all-hex meshes. These algorithms do not produces meshes of high enough quality for certain analyses. Optimization based smoothing has recently solved the problem of positioning the nodes optimally, given a fixed mesh connectivity.
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