A Combined Medial Object and Frame Approach to Compute Mesh Singularity Lines (Research note)

In this work, a novel method for calculating mesh singularity lines (chains of irregular edges in an otherwise structured hex mesh) in a 3D computational domain is presented. It explores how combining the medial object of a domain with frames can provide insights to the placement of singularity lines. The medial object’s vertices, edges and surfaces provide a framework upon which frames representing advancing mesh fronts can be determined. By analyzing adjacent frames singularity lines are located. Examples are given for validation purposes.