Improvement of quad (dominant) meshes

A common approach for quadrilateral mesh generation involves producing a triangulation of the surface first, which is then further transformed into a quad mesh through local operations [1, 2]. The obtained quad mesh generally does not fulfill all quality requirements essential for accurate simulations. Thus, cleanup and smoothing routines are needed as a post-processing step to finally create a first-rate surface mesh. In this talk, we are going to outline enhancements in the mesh improvement algorithms. The algorithms increase the quality of quad (dominant) meshes by a reduction of irregular nodes* or triangles, while respecting other constraints such as size, quality and mesh flow control** [3]. The full surface meshing routine including the cleanup is available as part of the PRIME product, and the enhancements are incorporated into Ansys Mechanical. *Vertices which do not have exactly four adjacent elements. **Alignment of locations of irregular nodes/triangles to separatrices and boundaries. [1] Remacle, J. F., Lambrechts, J., Seny, B., Marchandise, E., Johnen, A., & Geuzainet, C. (2012). Blossom‐Quad: A non‐uniform quadrilateral mesh generator using a minimum‐cost perfect‐matching algorithm. International journal for numerical methods in engineering, 89(9), 1102-1119. [2] Owen, S. J., Staten, M. L., Canann, S. A., & Saigal, S. (1999). Q‐Morph: an indirect approach to advancing front quad meshing. International journal for numerical methods in engineering, 44(9), 1317-1340. [3] Feng, L., Tong, Y., & Desbrun, M. (2021). Q-zip: singularity editing primitive for quad meshes. ACM Transactions on Graphics (TOG), 40(6), 1-13.