A simple formula for quad mesh singularities. (2017)

• Record Type: Journal Article
• Authors: Fogg, Harold J.; Sun, Liang; Makem, Jonathan E.; Armstrong, Cecil G.; Robinson, Trevor T.
• Is Part Of: Procedia engineering. Volume 203(2017)
• Page Start: 14
• Page End: 26
• Publication Date: 2017
• Subjects: all-quad mesh -- singularities -- cross-field; Engineering -- Congresses; Engineering -- Periodicals; Engineering; Conference proceedings; Periodicals; 620.005
• DOI: 10.1016/j.proeng.2017.09.781
• Languages: English
• ISSNs: 1877-7058

Abstract

Abstract: A formula is presented for determining the net sum of mesh singularity indices that must occur in an all-quadrilateral (quad) mesh of a face or surface region after the mesh properties have been assigned on the face's boundaries and according to the face's Euler Characteristic. The formula is derived from Bunin's Continuum Theory for Unstructured Mesh Generation [1].