A fast and accurate method to solve the incompressible Navier-Stokes equations

Autores
Idelsohn, Sergio Rodolfo; Nigro, Norberto Marcelo; Gimenez, Juan Marcelo; Rossi, Riccardo; Marti, Julio Marcelo
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Purpose: The purpose of this paper is to highlight the possibilities of a novel Lagrangian formulation in dealing with the solution of the incompressible Navier-Stokes equations with very large time steps. Design/methodology/approach: The design of the paper is based on introducing the origin of this novel numerical method, originally inspired on the Particle Finite Element Method (PFEM), summarizing the previously published theory in its moving mesh version. Afterwards its extension to fixed mesh version is introduced, showing some details about the implementation. Findings: The authors have found that even though this method was originally designed to deal with heterogeneous or free-surface flows, it can be competitive with Eulerian alternatives, even in their range of optimal application in terms of accuracy, with an interesting robustness allowing to use large time steps in a stable way. Originality/value: With this objective in mind, the authors have chosen a number of benchmark examples and have proved that the proposed algorithm provides results which compare favourably, both in terms of solution time and accuracy achieved, with alternative approaches, implemented in in-house and commercial codes.
Fil: Idelsohn, Sergio Rodolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química (i); Argentina
Fil: Nigro, Norberto Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química (i); Argentina
Fil: Gimenez, Juan Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina
Fil: Rossi, Riccardo. Universidad Politecnica de Catalunya; España
Fil: Marti, Julio Marcelo. Universidad Politecnica de Catalunya; España
Materia
Navier-Stokes Equations
Particle Methods
Large Time-Steps
Incompressible Fluid Flows
Real Time Cfd
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:11336/8864
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/8864
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A fast and accurate method to solve the incompressible Navier-Stokes equationsIdelsohn, Sergio RodolfoNigro, Norberto MarceloGimenez, Juan MarceloRossi, RiccardoMarti, Julio MarceloNavier-Stokes EquationsParticle MethodsLarge Time-StepsIncompressible Fluid FlowsReal Time Cfdhttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2Purpose: The purpose of this paper is to highlight the possibilities of a novel Lagrangian formulation in dealing with the solution of the incompressible Navier-Stokes equations with very large time steps. Design/methodology/approach: The design of the paper is based on introducing the origin of this novel numerical method, originally inspired on the Particle Finite Element Method (PFEM), summarizing the previously published theory in its moving mesh version. Afterwards its extension to fixed mesh version is introduced, showing some details about the implementation. Findings: The authors have found that even though this method was originally designed to deal with heterogeneous or free-surface flows, it can be competitive with Eulerian alternatives, even in their range of optimal application in terms of accuracy, with an interesting robustness allowing to use large time steps in a stable way. Originality/value: With this objective in mind, the authors have chosen a number of benchmark examples and have proved that the proposed algorithm provides results which compare favourably, both in terms of solution time and accuracy achieved, with alternative approaches, implemented in in-house and commercial codes.Fil: Idelsohn, Sergio Rodolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química (i); ArgentinaFil: Nigro, Norberto Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química (i); ArgentinaFil: Gimenez, Juan Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; ArgentinaFil: Rossi, Riccardo. Universidad Politecnica de Catalunya; EspañaFil: Marti, Julio Marcelo. Universidad Politecnica de Catalunya; EspañaEmerald Group Publishing Limited2013-02info: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/11336/8864Idelsohn, Sergio Rodolfo; Nigro, Norberto Marcelo; Gimenez, Juan Marcelo; Rossi, Riccardo; Marti, Julio Marcelo; A fast and accurate method to solve the incompressible Navier-Stokes equations; Emerald Group Publishing Limited; Engineering Computations; 30; 2-2013; 197-2220264-4401enginfo:eu-repo/semantics/altIdentifier/url/http://www.emeraldinsight.com/doi/abs/10.1108/02644401311304854info:eu-repo/semantics/altIdentifier/doi/10.1108/02644401311304854info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:13:47Zoai:ri.conicet.gov.ar:11336/8864instacron: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:34982025-09-10 13:13:47.389CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A fast and accurate method to solve the incompressible Navier-Stokes equations
title A fast and accurate method to solve the incompressible Navier-Stokes equations
spellingShingle A fast and accurate method to solve the incompressible Navier-Stokes equations
Idelsohn, Sergio Rodolfo
Navier-Stokes Equations
Particle Methods
Large Time-Steps
Incompressible Fluid Flows
Real Time Cfd
title_short A fast and accurate method to solve the incompressible Navier-Stokes equations
title_full A fast and accurate method to solve the incompressible Navier-Stokes equations
title_fullStr A fast and accurate method to solve the incompressible Navier-Stokes equations
title_full_unstemmed A fast and accurate method to solve the incompressible Navier-Stokes equations
title_sort A fast and accurate method to solve the incompressible Navier-Stokes equations
dc.creator.none.fl_str_mv Idelsohn, Sergio Rodolfo
Nigro, Norberto Marcelo
Gimenez, Juan Marcelo
Rossi, Riccardo
Marti, Julio Marcelo
author Idelsohn, Sergio Rodolfo
author_facet Idelsohn, Sergio Rodolfo
Nigro, Norberto Marcelo
Gimenez, Juan Marcelo
Rossi, Riccardo
Marti, Julio Marcelo
author_role author
author2 Nigro, Norberto Marcelo
Gimenez, Juan Marcelo
Rossi, Riccardo
Marti, Julio Marcelo
author2_role author
author
author
author
dc.subject.none.fl_str_mv Navier-Stokes Equations
Particle Methods
Large Time-Steps
Incompressible Fluid Flows
Real Time Cfd
topic Navier-Stokes Equations
Particle Methods
Large Time-Steps
Incompressible Fluid Flows
Real Time Cfd
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv Purpose: The purpose of this paper is to highlight the possibilities of a novel Lagrangian formulation in dealing with the solution of the incompressible Navier-Stokes equations with very large time steps. Design/methodology/approach: The design of the paper is based on introducing the origin of this novel numerical method, originally inspired on the Particle Finite Element Method (PFEM), summarizing the previously published theory in its moving mesh version. Afterwards its extension to fixed mesh version is introduced, showing some details about the implementation. Findings: The authors have found that even though this method was originally designed to deal with heterogeneous or free-surface flows, it can be competitive with Eulerian alternatives, even in their range of optimal application in terms of accuracy, with an interesting robustness allowing to use large time steps in a stable way. Originality/value: With this objective in mind, the authors have chosen a number of benchmark examples and have proved that the proposed algorithm provides results which compare favourably, both in terms of solution time and accuracy achieved, with alternative approaches, implemented in in-house and commercial codes.
Fil: Idelsohn, Sergio Rodolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química (i); Argentina
Fil: Nigro, Norberto Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química (i); Argentina
Fil: Gimenez, Juan Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico. Centro de Investigación de Métodos Computacionales; Argentina
Fil: Rossi, Riccardo. Universidad Politecnica de Catalunya; España
Fil: Marti, Julio Marcelo. Universidad Politecnica de Catalunya; España
description Purpose: The purpose of this paper is to highlight the possibilities of a novel Lagrangian formulation in dealing with the solution of the incompressible Navier-Stokes equations with very large time steps. Design/methodology/approach: The design of the paper is based on introducing the origin of this novel numerical method, originally inspired on the Particle Finite Element Method (PFEM), summarizing the previously published theory in its moving mesh version. Afterwards its extension to fixed mesh version is introduced, showing some details about the implementation. Findings: The authors have found that even though this method was originally designed to deal with heterogeneous or free-surface flows, it can be competitive with Eulerian alternatives, even in their range of optimal application in terms of accuracy, with an interesting robustness allowing to use large time steps in a stable way. Originality/value: With this objective in mind, the authors have chosen a number of benchmark examples and have proved that the proposed algorithm provides results which compare favourably, both in terms of solution time and accuracy achieved, with alternative approaches, implemented in in-house and commercial codes.
publishDate 2013
dc.date.none.fl_str_mv 2013-02
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/11336/8864
Idelsohn, Sergio Rodolfo; Nigro, Norberto Marcelo; Gimenez, Juan Marcelo; Rossi, Riccardo; Marti, Julio Marcelo; A fast and accurate method to solve the incompressible Navier-Stokes equations; Emerald Group Publishing Limited; Engineering Computations; 30; 2-2013; 197-222
0264-4401
url http://hdl.handle.net/11336/8864
identifier_str_mv Idelsohn, Sergio Rodolfo; Nigro, Norberto Marcelo; Gimenez, Juan Marcelo; Rossi, Riccardo; Marti, Julio Marcelo; A fast and accurate method to solve the incompressible Navier-Stokes equations; Emerald Group Publishing Limited; Engineering Computations; 30; 2-2013; 197-222
0264-4401
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.emeraldinsight.com/doi/abs/10.1108/02644401311304854
info:eu-repo/semantics/altIdentifier/doi/10.1108/02644401311304854
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 Emerald Group Publishing Limited
publisher.none.fl_str_mv Emerald Group Publishing Limited
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 12.993085

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