A simple formula for quad mesh singularities

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A formula is presented for determining the net sum of mesh singularity indices that must occur in an all-quadrilateral (quad) meshof 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.
LanguageEnglish
Pages14-26
JournalProcedia Engineering
Volume20
Early online date18 Oct 2017
DOIs
Publication statusEarly online date - 18 Oct 2017

Fingerprint

Mesh generation

Cite this

Fogg, Harold J. ; Sun, Liang ; Makem, Jonathan E. ; Armstrong, Cecil G. ; Robinson, Trevor T. / A simple formula for quad mesh singularities. In: Procedia Engineering. 2017 ; Vol. 20. pp. 14-26.
@article{e04d18f79222440799cf87fd4511de90,
title = "A simple formula for quad mesh singularities",
abstract = "A formula is presented for determining the net sum of mesh singularity indices that must occur in an all-quadrilateral (quad) meshof 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.",
author = "Fogg, {Harold J.} and Liang Sun and Makem, {Jonathan E.} and Armstrong, {Cecil G.} and Robinson, {Trevor T.}",
year = "2017",
month = "10",
day = "18",
doi = "10.1016/j.proeng.2017.09.781",
language = "English",
volume = "20",
pages = "14--26",
journal = "Procedia Engineering",
issn = "1877-7058",
publisher = "Elsevier BV",

}

A simple formula for quad mesh singularities. / Fogg, Harold J.; Sun, Liang; Makem, Jonathan E.; Armstrong, Cecil G.; Robinson, Trevor T.

In: Procedia Engineering, Vol. 20, 18.10.2017, p. 14-26.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A simple formula for quad mesh singularities

AU - Fogg, Harold J.

AU - Sun, Liang

AU - Makem, Jonathan E.

AU - Armstrong, Cecil G.

AU - Robinson, Trevor T.

PY - 2017/10/18

Y1 - 2017/10/18

N2 - A formula is presented for determining the net sum of mesh singularity indices that must occur in an all-quadrilateral (quad) meshof 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.

AB - A formula is presented for determining the net sum of mesh singularity indices that must occur in an all-quadrilateral (quad) meshof 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.

U2 - 10.1016/j.proeng.2017.09.781

DO - 10.1016/j.proeng.2017.09.781

M3 - Article

VL - 20

SP - 14

EP - 26

JO - Procedia Engineering

T2 - Procedia Engineering

JF - Procedia Engineering

SN - 1877-7058

ER -