Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin method

Autores
Álvarez Hostos, Juan Carlos; Fachinotti, Victor Daniel; Sarache Piña, Alirio Johan; Bencomo, Alfonso Daniel; Puchi Cabrera, Eli S.
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The present work introduces an alternative implementation of the element-free Galerkin method (EFGM) for the steady incompressible Navier-Stokes equations. The linear momentum balance and mass conservation equations have been developed on the basis of this global weak formulation. The weak forms of both equations have been coupled by means of two standard penalty procedures, which have been previously formulated and successfully employed in mesh-based numerical techniques such as the finite element method (FEM). These include the consistent penalty method (CPM) and reduced integration penalty method (RIPM). A detailed explanation concerning the characteristics inherent to the implementation of both penalty procedures in the EFGM based solutions for the incompressible Navier-Stokes equations, has also been provided. The resulting systems of equations have been adapted to the solution of different well-known incompressible flow benchmark problems. The feasibility and reliability of extending the implementation of these penalty procedures to the EFGM based solutions has been verified by comparison with the numerical techniques proposed and the results reported by other researchers. Results have revealed that this technique could be successfully used in the solution of Newtonian incompressible flow problems under the aforementioned penalty approaches.
Fil: Álvarez Hostos, Juan Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Fachinotti, Victor Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Sarache Piña, Alirio Johan. Universidad Central de Venezuela; Venezuela
Fil: Bencomo, Alfonso Daniel. Universidad Central de Venezuela; Venezuela
Fil: Puchi Cabrera, Eli S.. Universidad Central de Venezuela; Venezuela. Universite Lille; Francia
Materia
ELEMENT-FREE GALERKIN
PENALTY
NAVIER-STOKES
INCOMPRESSIBLE FLOW
REDUCED INTEGRATION
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:11336/92527
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/92527
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin methodÁlvarez Hostos, Juan CarlosFachinotti, Victor DanielSarache Piña, Alirio JohanBencomo, Alfonso DanielPuchi Cabrera, Eli S.ELEMENT-FREE GALERKINPENALTYNAVIER-STOKESINCOMPRESSIBLE FLOWREDUCED INTEGRATIONhttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2The present work introduces an alternative implementation of the element-free Galerkin method (EFGM) for the steady incompressible Navier-Stokes equations. The linear momentum balance and mass conservation equations have been developed on the basis of this global weak formulation. The weak forms of both equations have been coupled by means of two standard penalty procedures, which have been previously formulated and successfully employed in mesh-based numerical techniques such as the finite element method (FEM). These include the consistent penalty method (CPM) and reduced integration penalty method (RIPM). A detailed explanation concerning the characteristics inherent to the implementation of both penalty procedures in the EFGM based solutions for the incompressible Navier-Stokes equations, has also been provided. The resulting systems of equations have been adapted to the solution of different well-known incompressible flow benchmark problems. The feasibility and reliability of extending the implementation of these penalty procedures to the EFGM based solutions has been verified by comparison with the numerical techniques proposed and the results reported by other researchers. Results have revealed that this technique could be successfully used in the solution of Newtonian incompressible flow problems under the aforementioned penalty approaches.Fil: Álvarez Hostos, Juan Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; ArgentinaFil: Fachinotti, Victor Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; ArgentinaFil: Sarache Piña, Alirio Johan. Universidad Central de Venezuela; VenezuelaFil: Bencomo, Alfonso Daniel. Universidad Central de Venezuela; VenezuelaFil: Puchi Cabrera, Eli S.. Universidad Central de Venezuela; Venezuela. Universite Lille; FranciaElsevier2018-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/92527Álvarez Hostos, Juan Carlos; Fachinotti, Victor Daniel; Sarache Piña, Alirio Johan; Bencomo, Alfonso Daniel; Puchi Cabrera, Eli S.; Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin method; Elsevier; Engineering Analysis With Boundary Elements; 96; 11-2018; 36-540955-7997CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0955799718302820info:eu-repo/semantics/altIdentifier/doi/10.1016/j.enganabound.2018.08.008info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:48:33Zoai:ri.conicet.gov.ar:11336/92527instacron: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:34982025-09-29 09:48:33.708CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin method
title Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin method
spellingShingle Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin method
Álvarez Hostos, Juan Carlos
ELEMENT-FREE GALERKIN
PENALTY
NAVIER-STOKES
INCOMPRESSIBLE FLOW
REDUCED INTEGRATION
title_short Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin method
title_full Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin method
title_fullStr Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin method
title_full_unstemmed Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin method
title_sort Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin method
dc.creator.none.fl_str_mv Álvarez Hostos, Juan Carlos
Fachinotti, Victor Daniel
Sarache Piña, Alirio Johan
Bencomo, Alfonso Daniel
Puchi Cabrera, Eli S.
author Álvarez Hostos, Juan Carlos
author_facet Álvarez Hostos, Juan Carlos
Fachinotti, Victor Daniel
Sarache Piña, Alirio Johan
Bencomo, Alfonso Daniel
Puchi Cabrera, Eli S.
author_role author
author2 Fachinotti, Victor Daniel
Sarache Piña, Alirio Johan
Bencomo, Alfonso Daniel
Puchi Cabrera, Eli S.
author2_role author
author
author
author
dc.subject.none.fl_str_mv ELEMENT-FREE GALERKIN
PENALTY
NAVIER-STOKES
INCOMPRESSIBLE FLOW
REDUCED INTEGRATION
topic ELEMENT-FREE GALERKIN
PENALTY
NAVIER-STOKES
INCOMPRESSIBLE FLOW
REDUCED INTEGRATION
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The present work introduces an alternative implementation of the element-free Galerkin method (EFGM) for the steady incompressible Navier-Stokes equations. The linear momentum balance and mass conservation equations have been developed on the basis of this global weak formulation. The weak forms of both equations have been coupled by means of two standard penalty procedures, which have been previously formulated and successfully employed in mesh-based numerical techniques such as the finite element method (FEM). These include the consistent penalty method (CPM) and reduced integration penalty method (RIPM). A detailed explanation concerning the characteristics inherent to the implementation of both penalty procedures in the EFGM based solutions for the incompressible Navier-Stokes equations, has also been provided. The resulting systems of equations have been adapted to the solution of different well-known incompressible flow benchmark problems. The feasibility and reliability of extending the implementation of these penalty procedures to the EFGM based solutions has been verified by comparison with the numerical techniques proposed and the results reported by other researchers. Results have revealed that this technique could be successfully used in the solution of Newtonian incompressible flow problems under the aforementioned penalty approaches.
Fil: Álvarez Hostos, Juan Carlos. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Fachinotti, Victor Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; Argentina
Fil: Sarache Piña, Alirio Johan. Universidad Central de Venezuela; Venezuela
Fil: Bencomo, Alfonso Daniel. Universidad Central de Venezuela; Venezuela
Fil: Puchi Cabrera, Eli S.. Universidad Central de Venezuela; Venezuela. Universite Lille; Francia
description The present work introduces an alternative implementation of the element-free Galerkin method (EFGM) for the steady incompressible Navier-Stokes equations. The linear momentum balance and mass conservation equations have been developed on the basis of this global weak formulation. The weak forms of both equations have been coupled by means of two standard penalty procedures, which have been previously formulated and successfully employed in mesh-based numerical techniques such as the finite element method (FEM). These include the consistent penalty method (CPM) and reduced integration penalty method (RIPM). A detailed explanation concerning the characteristics inherent to the implementation of both penalty procedures in the EFGM based solutions for the incompressible Navier-Stokes equations, has also been provided. The resulting systems of equations have been adapted to the solution of different well-known incompressible flow benchmark problems. The feasibility and reliability of extending the implementation of these penalty procedures to the EFGM based solutions has been verified by comparison with the numerical techniques proposed and the results reported by other researchers. Results have revealed that this technique could be successfully used in the solution of Newtonian incompressible flow problems under the aforementioned penalty approaches.
publishDate 2018
dc.date.none.fl_str_mv 2018-11
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/11336/92527
Álvarez Hostos, Juan Carlos; Fachinotti, Victor Daniel; Sarache Piña, Alirio Johan; Bencomo, Alfonso Daniel; Puchi Cabrera, Eli S.; Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin method; Elsevier; Engineering Analysis With Boundary Elements; 96; 11-2018; 36-54
0955-7997
CONICET Digital
CONICET
url http://hdl.handle.net/11336/92527
identifier_str_mv Álvarez Hostos, Juan Carlos; Fachinotti, Victor Daniel; Sarache Piña, Alirio Johan; Bencomo, Alfonso Daniel; Puchi Cabrera, Eli S.; Implementation of standard penalty procedures for the solution of incompressible Navier–Stokes equations, employing the element-free Galerkin method; Elsevier; Engineering Analysis With Boundary Elements; 96; 11-2018; 36-54
0955-7997
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://linkinghub.elsevier.com/retrieve/pii/S0955799718302820
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.enganabound.2018.08.008
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
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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
_version_ 1844613507814785024
score 13.070432

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