A survey on finite volume schemes using triangular meshes

Detalhes bibliográficos
Autor(a) principal: Oliveira, Sanderson L. Gonzaga de
Data de Publicação: 2010
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFLA
Texto Completo: http://www.dcc.ufla.br/infocomp/index.php/INFOCOMP/article/view/387
http://repositorio.ufla.br/jspui/handle/1/15000
Resumo: This review attempts to place in perspective the variety of simple triangular discretizations which are available for constructing computational meshes in order to use the Finite Volume Method. In general, there are two main schemes for simple finite volume discretizations in triangular meshes: cell-centered and vertex-centered schemes. The two schemes differ in the location of the flux variable in the control volume with respect to the mesh. This review briefly describes some variations of the grid construction and associated techniques. Specifically, the Median Dual and variations, Voronoi Diagram and its dual Delaunay Triangulation, the Green-Gauss integration technique, and the simplified least-square technique are briefly introduced.
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spelling A survey on finite volume schemes using triangular meshesFinite volume methodPartial differential equationsConservation lawsMedian dualVoronoi diagramsDelaunay triangulationThis review attempts to place in perspective the variety of simple triangular discretizations which are available for constructing computational meshes in order to use the Finite Volume Method. In general, there are two main schemes for simple finite volume discretizations in triangular meshes: cell-centered and vertex-centered schemes. The two schemes differ in the location of the flux variable in the control volume with respect to the mesh. This review briefly describes some variations of the grid construction and associated techniques. Specifically, the Median Dual and variations, Voronoi Diagram and its dual Delaunay Triangulation, the Green-Gauss integration technique, and the simplified least-square technique are briefly introduced.Universidade Federal de Lavras (UFLA)2010-07-012017-08-01T21:08:44Z2017-08-01T21:08:44Z2017-08-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://www.dcc.ufla.br/infocomp/index.php/INFOCOMP/article/view/387OLIVEIRA, S. L. G. de. A survey on finite volume schemes using triangular meshes. INFOCOMP Journal of Computer Science, Lavras, v. 9, n. 6, p. 72-81, July 2010.http://repositorio.ufla.br/jspui/handle/1/15000INFOCOMP; Vol 9 No 6 (2010): Special Issue - July, 2010; 72-811982-33631807-4545reponame:Repositório Institucional da UFLAinstname:Universidade Federal de Lavras (UFLA)instacron:UFLAenghttp://www.dcc.ufla.br/infocomp/index.php/INFOCOMP/article/view/387/369Copyright (c) 2016 INFOCOMP Journal of Computer ScienceAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessOliveira, Sanderson L. Gonzaga de2021-09-16T23:28:23Zoai:localhost:1/15000Repositório InstitucionalPUBhttp://repositorio.ufla.br/oai/requestnivaldo@ufla.br || repositorio.biblioteca@ufla.bropendoar:2021-09-16T23:28:23Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)false
dc.title.none.fl_str_mv A survey on finite volume schemes using triangular meshes
title A survey on finite volume schemes using triangular meshes
spellingShingle A survey on finite volume schemes using triangular meshes
Oliveira, Sanderson L. Gonzaga de
Finite volume method
Partial differential equations
Conservation laws
Median dual
Voronoi diagrams
Delaunay triangulation
title_short A survey on finite volume schemes using triangular meshes
title_full A survey on finite volume schemes using triangular meshes
title_fullStr A survey on finite volume schemes using triangular meshes
title_full_unstemmed A survey on finite volume schemes using triangular meshes
title_sort A survey on finite volume schemes using triangular meshes
author Oliveira, Sanderson L. Gonzaga de
author_facet Oliveira, Sanderson L. Gonzaga de
author_role author
dc.contributor.author.fl_str_mv Oliveira, Sanderson L. Gonzaga de
dc.subject.por.fl_str_mv Finite volume method
Partial differential equations
Conservation laws
Median dual
Voronoi diagrams
Delaunay triangulation
topic Finite volume method
Partial differential equations
Conservation laws
Median dual
Voronoi diagrams
Delaunay triangulation
description This review attempts to place in perspective the variety of simple triangular discretizations which are available for constructing computational meshes in order to use the Finite Volume Method. In general, there are two main schemes for simple finite volume discretizations in triangular meshes: cell-centered and vertex-centered schemes. The two schemes differ in the location of the flux variable in the control volume with respect to the mesh. This review briefly describes some variations of the grid construction and associated techniques. Specifically, the Median Dual and variations, Voronoi Diagram and its dual Delaunay Triangulation, the Green-Gauss integration technique, and the simplified least-square technique are briefly introduced.
publishDate 2010
dc.date.none.fl_str_mv 2010-07-01
2017-08-01T21:08:44Z
2017-08-01T21:08:44Z
2017-08-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.dcc.ufla.br/infocomp/index.php/INFOCOMP/article/view/387
OLIVEIRA, S. L. G. de. A survey on finite volume schemes using triangular meshes. INFOCOMP Journal of Computer Science, Lavras, v. 9, n. 6, p. 72-81, July 2010.
http://repositorio.ufla.br/jspui/handle/1/15000
url http://www.dcc.ufla.br/infocomp/index.php/INFOCOMP/article/view/387
http://repositorio.ufla.br/jspui/handle/1/15000
identifier_str_mv OLIVEIRA, S. L. G. de. A survey on finite volume schemes using triangular meshes. INFOCOMP Journal of Computer Science, Lavras, v. 9, n. 6, p. 72-81, July 2010.
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://www.dcc.ufla.br/infocomp/index.php/INFOCOMP/article/view/387/369
dc.rights.driver.fl_str_mv Copyright (c) 2016 INFOCOMP Journal of Computer Science
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2016 INFOCOMP Journal of Computer Science
Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Lavras (UFLA)
publisher.none.fl_str_mv Universidade Federal de Lavras (UFLA)
dc.source.none.fl_str_mv INFOCOMP; Vol 9 No 6 (2010): Special Issue - July, 2010; 72-81
1982-3363
1807-4545
reponame:Repositório Institucional da UFLA
instname:Universidade Federal de Lavras (UFLA)
instacron:UFLA
instname_str Universidade Federal de Lavras (UFLA)
instacron_str UFLA
institution UFLA
reponame_str Repositório Institucional da UFLA
collection Repositório Institucional da UFLA
repository.name.fl_str_mv Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)
repository.mail.fl_str_mv nivaldo@ufla.br || repositorio.biblioteca@ufla.br
_version_ 1784549996731826176

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