Two algorithms for generating structured-hexahedral meshes

An algorithm is presented to enhance the capabilities of generating all-hexahedral finite element meshes based on the isoparametric superelement technique. This technique uses quadratic interpolation functions to locate new nodes. So, it successfully represents solids bounded by planes and some class of curved surfaces. But it inefficiently deals with hollow circular cylinders. Another algorithm for automatic Hexahedral Mesh generation of Generalized Solid of Revolution (HMGSR) is developed. It linearly divides a cylindrical solid in radial, angular and axial directions into any number of divisions with a prescribed distribution that can be specified either by a user or as a postprocess in adaptive finite element after estimating the distribution of discretization error. Combining both the isoparametric and HMGSR approaches within one algorithm using proper data structure extends their applications to generate all-hexahedral meshes for solids and surfaces with relatively complex geometries.