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Asimple formula for quad mesh singularities

Fogg, Harold J., Liang Sun, Jonathan E. Makem, Cecil G. Armstrong, Trevor T. Robinson

Proceedings, 26th International Meshing Roundtable, Elsevier, Science Direct, September 18-21 2017


26th International Meshing Roundtable
Barcelona, Spain
September 18-21, 2017

Harold J. Fogg, Siemens PLM Software, GB,
Liang Sun, Queen's University Belfast, GB,
Jonathan E. Makem, Siemens PLM Software, GB,
Cecil G. Armstrong, Queen's University Belfast, GB,
Trevor T. Robinson, Queen's University Belfast, GB,

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 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 \cite{Bunin2008}.

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