Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus

Autores
Sarraf, Sofia Soledad; Lopez, Ezequiel Jose; Rios Rodriguez, Gustavo Adolfo; D'elia, Jorge
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A validation of the numerical solution for the steady and axisymmetric creeping flow around a three-dimensional torus is presented. This solution is obtained by means of the Boundary Element Method. Both, a Galerkin weighting technique and collocation to the centroid of the elements are employed. The curve of the viscous drag force as a function of the diameter of the torus relative to its thickness is compared against a semi-analytical solution and laboratory experimental measurements taken from the literature. The semi-analytical solution, as it is known for this kind of geometry, involves the Legendre functions of first and second kind of order one and semi-integer degrees, also called toroidal harmonics.
Fil: Sarraf, Sofia Soledad. Universidad Nacional del Comahue. Facultad de Ingeniería. Departamento de Mecánica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe; Argentina
Fil: Lopez, Ezequiel Jose. Universidad Nacional del Comahue. Facultad de Ingeniería. Departamento de Mecánica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe; Argentina
Fil: Rios Rodriguez, Gustavo Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina
Fil: D'elia, Jorge. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina
Materia
Creeping Flow
Steady Flow
Boundary Element Method
Collocation Technique
Galerkin Weighting
Toroidal Harmonics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/8554
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torusSarraf, Sofia SoledadLopez, Ezequiel JoseRios Rodriguez, Gustavo AdolfoD'elia, JorgeCreeping FlowSteady FlowBoundary Element MethodCollocation TechniqueGalerkin WeightingToroidal Harmonicshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A validation of the numerical solution for the steady and axisymmetric creeping flow around a three-dimensional torus is presented. This solution is obtained by means of the Boundary Element Method. Both, a Galerkin weighting technique and collocation to the centroid of the elements are employed. The curve of the viscous drag force as a function of the diameter of the torus relative to its thickness is compared against a semi-analytical solution and laboratory experimental measurements taken from the literature. The semi-analytical solution, as it is known for this kind of geometry, involves the Legendre functions of first and second kind of order one and semi-integer degrees, also called toroidal harmonics.Fil: Sarraf, Sofia Soledad. Universidad Nacional del Comahue. Facultad de Ingeniería. Departamento de Mecánica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe; ArgentinaFil: Lopez, Ezequiel Jose. Universidad Nacional del Comahue. Facultad de Ingeniería. Departamento de Mecánica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe; ArgentinaFil: Rios Rodriguez, Gustavo Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; ArgentinaFil: D'elia, Jorge. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; ArgentinaSociedade Brasileira de Matemática Aplicada e Computacional2013-06-21info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/8554Sarraf, Sofia Soledad; Lopez, Ezequiel Jose; Rios Rodriguez, Gustavo Adolfo; D'elia, Jorge; Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus; Sociedade Brasileira de Matemática Aplicada e Computacional; Computational And Applied Mathematics; 33; 1; 21-6-2013; 63-801807-0302enginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s40314-013-0043-5info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs40314-013-0043-5info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:09:40Zoai:ri.conicet.gov.ar:11336/8554instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 10:09:41.01CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus
title Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus
spellingShingle Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus
Sarraf, Sofia Soledad
Creeping Flow
Steady Flow
Boundary Element Method
Collocation Technique
Galerkin Weighting
Toroidal Harmonics
title_short Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus
title_full Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus
title_fullStr Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus
title_full_unstemmed Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus
title_sort Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus
dc.creator.none.fl_str_mv Sarraf, Sofia Soledad
Lopez, Ezequiel Jose
Rios Rodriguez, Gustavo Adolfo
D'elia, Jorge
author Sarraf, Sofia Soledad
author_facet Sarraf, Sofia Soledad
Lopez, Ezequiel Jose
Rios Rodriguez, Gustavo Adolfo
D'elia, Jorge
author_role author
author2 Lopez, Ezequiel Jose
Rios Rodriguez, Gustavo Adolfo
D'elia, Jorge
author2_role author
author
author
dc.subject.none.fl_str_mv Creeping Flow
Steady Flow
Boundary Element Method
Collocation Technique
Galerkin Weighting
Toroidal Harmonics
topic Creeping Flow
Steady Flow
Boundary Element Method
Collocation Technique
Galerkin Weighting
Toroidal Harmonics
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv A validation of the numerical solution for the steady and axisymmetric creeping flow around a three-dimensional torus is presented. This solution is obtained by means of the Boundary Element Method. Both, a Galerkin weighting technique and collocation to the centroid of the elements are employed. The curve of the viscous drag force as a function of the diameter of the torus relative to its thickness is compared against a semi-analytical solution and laboratory experimental measurements taken from the literature. The semi-analytical solution, as it is known for this kind of geometry, involves the Legendre functions of first and second kind of order one and semi-integer degrees, also called toroidal harmonics.
Fil: Sarraf, Sofia Soledad. Universidad Nacional del Comahue. Facultad de Ingeniería. Departamento de Mecánica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe; Argentina
Fil: Lopez, Ezequiel Jose. Universidad Nacional del Comahue. Facultad de Ingeniería. Departamento de Mecánica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe; Argentina
Fil: Rios Rodriguez, Gustavo Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina
Fil: D'elia, Jorge. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina
description A validation of the numerical solution for the steady and axisymmetric creeping flow around a three-dimensional torus is presented. This solution is obtained by means of the Boundary Element Method. Both, a Galerkin weighting technique and collocation to the centroid of the elements are employed. The curve of the viscous drag force as a function of the diameter of the torus relative to its thickness is compared against a semi-analytical solution and laboratory experimental measurements taken from the literature. The semi-analytical solution, as it is known for this kind of geometry, involves the Legendre functions of first and second kind of order one and semi-integer degrees, also called toroidal harmonics.
publishDate 2013
dc.date.none.fl_str_mv 2013-06-21
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/8554
Sarraf, Sofia Soledad; Lopez, Ezequiel Jose; Rios Rodriguez, Gustavo Adolfo; D'elia, Jorge; Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus; Sociedade Brasileira de Matemática Aplicada e Computacional; Computational And Applied Mathematics; 33; 1; 21-6-2013; 63-80
1807-0302
url http://hdl.handle.net/11336/8554
identifier_str_mv Sarraf, Sofia Soledad; Lopez, Ezequiel Jose; Rios Rodriguez, Gustavo Adolfo; D'elia, Jorge; Validation of a Galerkin technique on a boundary integral equation for creeping flow around a torus; Sociedade Brasileira de Matemática Aplicada e Computacional; Computational And Applied Mathematics; 33; 1; 21-6-2013; 63-80
1807-0302
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s40314-013-0043-5
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs40314-013-0043-5
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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