Summary: Hexahedral meshing of complex domains is a long-standing problem in engineering simulation. One strategy to achieve it is through multi-block decomposition. Recent efforts have focussed on deriving the block topology using frame-fields which aim to capture the desired mesh orientation throughout the domain. This reduces to determining the approximate position, orientation and connectivity of lines of mesh edges where the number of elements is different from what it would be in a regular mesh. These are known as mesh singularity lines and they form the framework of a block decomposition. However, frame fields often produce singularity lines which are connected in invalid configurations and cannot support a valid block topology. The contribution in this paper is to demonstrate how information encapsulated in the Medial Axis of a \(3D\) domain can provide rational solutions to a number of meshing problems that have been identified in the literature as having no satisfactory automated solution. The approach is not yet a formal algorithm but provides extra insights that should assist in the development of one.
For the entire collection see [Zbl 1487.65003].