A simple formula for quad mesh singularities

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

doi:10.1016/j.proeng.2017.09.781

A simple formula for quad mesh singularities

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

School of Mechanical and Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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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.

Original language	English
Pages (from-to)	14-26
Journal	Procedia Engineering
Volume	20
Early online date	18 Oct 2017
DOIs	https://doi.org/10.1016/j.proeng.2017.09.781
Publication status	Early online date - 18 Oct 2017

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10.1016/j.proeng.2017.09.781Licence: CC BY-NC-ND

A simple formula for quad mesh singularities
Copyright 2017 the authors. This is an open access article published under a Creative Commons Attribution-NonCommercial-NoDerivs License (https://creativecommons.org/licenses/by-nc-nd/4.0/), which permits distribution and reproduction for non-commercial purposes, provided the author and source are cited.
Final published version, 1.67 MBLicence: CC BY-NC-ND

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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{\textquoteright}s boundaries and according to the face{\textquoteright}s Euler Characteristic.The formula is derived from Bunin{\textquoteright}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.}",

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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.

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DO - 10.1016/j.proeng.2017.09.781

M3 - Article

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VL - 20

SP - 14

EP - 26

JO - Procedia Engineering

JF - Procedia Engineering

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A simple formula for quad mesh singularities

Abstract

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