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

Research output: Contribution to journal › Conference article › peer-review

4 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) 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].

Original language	English
Pages (from-to)	14-26
Number of pages	13
Journal	Procedia Engineering
Volume	203
Early online date	18 Oct 2017
DOIs	https://doi.org/10.1016/j.proeng.2017.09.781
Publication status	Published online - 18 Oct 2017
Event	26th International Meshing Roundtable, IMR 2017 - Barcelona, Spain Duration: 18 Sept 2017 → 21 Sept 2017

Funding

The authors from the Meshing and Abstraction Group, Simcenter, Siemens PLM would like to thank their manager Mary Otte for her support and encouragement in doing this work. The authors from Queen’s University Belfast would like to acknowledge the financial support provided by Innovate UK, a UK Centre for Aerodynamics project, via GHandI project (TSB 101372).

Keywords

all-quad mesh
cross-field
singularities

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

L Sun Procedia EngineeringFinal published version, 1.67 MBLicence: CC BY-NC-ND

Cite this

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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) 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].",

keywords = "all-quad mesh, cross-field, singularities",

author = "Fogg, \{Harold J.\} and Liang Sun and Makem, \{Jonathan E.\} and Armstrong, \{Cecil G.\} and Robinson, \{Trevor T.\}",

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language = "English",

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journal = "Procedia Engineering",

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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) 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].

AB - 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].

KW - all-quad mesh

KW - cross-field

KW - singularities

UR - https://www.scopus.com/pages/publications/85039995819

U2 - 10.1016/j.proeng.2017.09.781

DO - 10.1016/j.proeng.2017.09.781

M3 - Conference article

AN - SCOPUS:85039995819

SN - 1877-7058

VL - 203

SP - 14

EP - 26

JO - Procedia Engineering

JF - Procedia Engineering

T2 - 26th International Meshing Roundtable, IMR 2017

Y2 - 18 September 2017 through 21 September 2017

ER -

A simple formula for quad mesh singularities

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Keywords

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