Multiblock mesh refinement by adding mesh singularities

Cecil G. Armstrong; Tak Sing Li; Christopher Tierney; Trevor T. Robinson

doi:10.1007/978-3-030-13992-6_11

Multiblock mesh refinement by adding mesh singularities

Cecil G. Armstrong, Tak Sing Li, Christopher Tierney, Trevor T. Robinson

Hong Kong Metropolitan University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

Several templates for 2D and 3D structured mesh refinement are presented. The templates have the property that the minimum number of irregular points or edges (mesh singularities) are added. For a given set of external division numbers a variety of interior meshes can be generated. The positions of the internal vertices in the template are calculated explicitly using an extended transfinite mapping scheme, which has previously been shown to be equivalent to iterative iso-parametric smoothing. Since calculating the block vertex positions requires the solution of a small number of linear equations, the optimum mesh in the interior of the template can be evaluated very cheaply before the block structured mesh is generated.

Original language	English
Title of host publication	27th International Meshing Roundtable
Editors	Xevi Roca, Adrien Loseille
Pages	189-207
Number of pages	19
DOIs	https://doi.org/10.1007/978-3-030-13992-6_11
Publication status	Published - 2019
Event	27th International Meshing Roundtable, IMR 2018 - Albuquerque, United States Duration: 1 Oct 2018 → 5 Oct 2018

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	127
ISSN (Print)	1439-7358
ISSN (Electronic)	2197-7100

Conference

Conference	27th International Meshing Roundtable, IMR 2018
Country/Territory	United States
City	Albuquerque
Period	1/10/18 → 5/10/18

Keywords

Mesh smoothing
Multiblock quad and hex meshing
Quad and hex mesh refinement

Access to Document

10.1007/978-3-030-13992-6_11

Cite this

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title = "Multiblock mesh refinement by adding mesh singularities",

abstract = "Several templates for 2D and 3D structured mesh refinement are presented. The templates have the property that the minimum number of irregular points or edges (mesh singularities) are added. For a given set of external division numbers a variety of interior meshes can be generated. The positions of the internal vertices in the template are calculated explicitly using an extended transfinite mapping scheme, which has previously been shown to be equivalent to iterative iso-parametric smoothing. Since calculating the block vertex positions requires the solution of a small number of linear equations, the optimum mesh in the interior of the template can be evaluated very cheaply before the block structured mesh is generated.",

keywords = "Mesh smoothing, Multiblock quad and hex meshing, Quad and hex mesh refinement",

author = "Armstrong, {Cecil G.} and Li, {Tak Sing} and Christopher Tierney and Robinson, {Trevor T.}",

note = "Publisher Copyright: {\textcopyright} Springer Nature Switzerland AG 2019.; 27th International Meshing Roundtable, IMR 2018 ; Conference date: 01-10-2018 Through 05-10-2018",

year = "2019",

doi = "10.1007/978-3-030-13992-6_11",

language = "English",

isbn = "9783030139919",

series = "Lecture Notes in Computational Science and Engineering",

pages = "189--207",

editor = "Xevi Roca and Adrien Loseille",

booktitle = "27th International Meshing Roundtable",

}

Armstrong, CG, Li, TS, Tierney, C & Robinson, TT 2019, Multiblock mesh refinement by adding mesh singularities. in X Roca & A Loseille (eds), 27th International Meshing Roundtable. Lecture Notes in Computational Science and Engineering, vol. 127, pp. 189-207, 27th International Meshing Roundtable, IMR 2018, Albuquerque, United States, 1/10/18. https://doi.org/10.1007/978-3-030-13992-6_11

Multiblock mesh refinement by adding mesh singularities. / Armstrong, Cecil G.; Li, Tak Sing; Tierney, Christopher et al.
27th International Meshing Roundtable. ed. / Xevi Roca; Adrien Loseille. 2019. p. 189-207 (Lecture Notes in Computational Science and Engineering; Vol. 127).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Multiblock mesh refinement by adding mesh singularities

AU - Armstrong, Cecil G.

AU - Li, Tak Sing

AU - Tierney, Christopher

AU - Robinson, Trevor T.

N1 - Publisher Copyright: © Springer Nature Switzerland AG 2019.

PY - 2019

Y1 - 2019

N2 - Several templates for 2D and 3D structured mesh refinement are presented. The templates have the property that the minimum number of irregular points or edges (mesh singularities) are added. For a given set of external division numbers a variety of interior meshes can be generated. The positions of the internal vertices in the template are calculated explicitly using an extended transfinite mapping scheme, which has previously been shown to be equivalent to iterative iso-parametric smoothing. Since calculating the block vertex positions requires the solution of a small number of linear equations, the optimum mesh in the interior of the template can be evaluated very cheaply before the block structured mesh is generated.

AB - Several templates for 2D and 3D structured mesh refinement are presented. The templates have the property that the minimum number of irregular points or edges (mesh singularities) are added. For a given set of external division numbers a variety of interior meshes can be generated. The positions of the internal vertices in the template are calculated explicitly using an extended transfinite mapping scheme, which has previously been shown to be equivalent to iterative iso-parametric smoothing. Since calculating the block vertex positions requires the solution of a small number of linear equations, the optimum mesh in the interior of the template can be evaluated very cheaply before the block structured mesh is generated.

KW - Mesh smoothing

KW - Multiblock quad and hex meshing

KW - Quad and hex mesh refinement

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U2 - 10.1007/978-3-030-13992-6_11

DO - 10.1007/978-3-030-13992-6_11

M3 - Conference contribution

AN - SCOPUS:85069171891

SN - 9783030139919

T3 - Lecture Notes in Computational Science and Engineering

SP - 189

EP - 207

BT - 27th International Meshing Roundtable

A2 - Roca, Xevi

A2 - Loseille, Adrien

T2 - 27th International Meshing Roundtable, IMR 2018

Y2 - 1 October 2018 through 5 October 2018

ER -

Multiblock mesh refinement by adding mesh singularities

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Keywords

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