Dynamic Boundary Conditions in Fluid Mechanics

Autores
Storti, Mario Alberto; Nigro, Norberto Marcelo; Paz, Rodrigo Rafael; Dalcin, Lisandro Daniel
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The number and type of boundary conditions to be used in the numerical modeling of fluid mechanics problems is normally chosen according to a simplified analysis of the characteristics, and also from the experience of the modeler. The problem is harder at inflow/outflow boundaries which are, in most cases, artificial boundaries, so that a bad decision about the boundary conditions to be imposed may affect the precision and stability of the whole computation. For inviscid flows, the analysis of the sense of propagation in the normal direction to the boundaries gives the number of conditions to be imposed and, in addition, the conditions that are "absorbing" for the waves impinging normally to the boundary. In practice, it amounts to counting the number of positive and negative eigenvalues of the advective flux Jacobian projected onto the normal. The problem is even harder when the number of incoming characteristics varies during the computation, and the correct treatment of these cases poses both mathematical and practical problems. One example considered here is a compressible flow where the flow regime at a certain part of an inlet/outlet boundary can change from subsonic to supersonic and the flow can revert. In this work the technique for dynamically imposing the correct number of boundary conditions along the computation, using Lagrange multipliers and penalization, is discussed and several numerical examples are presented.
Fil: Storti, Mario Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Nigro, Norberto Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Paz, Rodrigo Rafael. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Materia
Absorbing Boundary Conditions
Computational Fluid Dynamics
Finite Elements
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:11336/76352
Acceder
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spelling Dynamic Boundary Conditions in Fluid MechanicsStorti, Mario AlbertoNigro, Norberto MarceloPaz, Rodrigo RafaelDalcin, Lisandro DanielAbsorbing Boundary ConditionsComputational Fluid DynamicsFinite ElementsThe number and type of boundary conditions to be used in the numerical modeling of fluid mechanics problems is normally chosen according to a simplified analysis of the characteristics, and also from the experience of the modeler. The problem is harder at inflow/outflow boundaries which are, in most cases, artificial boundaries, so that a bad decision about the boundary conditions to be imposed may affect the precision and stability of the whole computation. For inviscid flows, the analysis of the sense of propagation in the normal direction to the boundaries gives the number of conditions to be imposed and, in addition, the conditions that are "absorbing" for the waves impinging normally to the boundary. In practice, it amounts to counting the number of positive and negative eigenvalues of the advective flux Jacobian projected onto the normal. The problem is even harder when the number of incoming characteristics varies during the computation, and the correct treatment of these cases poses both mathematical and practical problems. One example considered here is a compressible flow where the flow regime at a certain part of an inlet/outlet boundary can change from subsonic to supersonic and the flow can revert. In this work the technique for dynamically imposing the correct number of boundary conditions along the computation, using Lagrange multipliers and penalization, is discussed and several numerical examples are presented.Fil: Storti, Mario Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaFil: Nigro, Norberto Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaFil: Paz, Rodrigo Rafael. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaFil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; ArgentinaElsevier Science Sa2008-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/76352Storti, Mario Alberto; Nigro, Norberto Marcelo; Paz, Rodrigo Rafael; Dalcin, Lisandro Daniel; Dynamic Boundary Conditions in Fluid Mechanics; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 197; 13-16; 2-2008; 1219-12320045-7825CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2007.10.014info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:15:27Zoai:ri.conicet.gov.ar:11336/76352instacron: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:34982025-10-15 15:15:27.63CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Dynamic Boundary Conditions in Fluid Mechanics
title Dynamic Boundary Conditions in Fluid Mechanics
spellingShingle Dynamic Boundary Conditions in Fluid Mechanics
Storti, Mario Alberto
Absorbing Boundary Conditions
Computational Fluid Dynamics
Finite Elements
title_short Dynamic Boundary Conditions in Fluid Mechanics
title_full Dynamic Boundary Conditions in Fluid Mechanics
title_fullStr Dynamic Boundary Conditions in Fluid Mechanics
title_full_unstemmed Dynamic Boundary Conditions in Fluid Mechanics
title_sort Dynamic Boundary Conditions in Fluid Mechanics
dc.creator.none.fl_str_mv Storti, Mario Alberto
Nigro, Norberto Marcelo
Paz, Rodrigo Rafael
Dalcin, Lisandro Daniel
author Storti, Mario Alberto
author_facet Storti, Mario Alberto
Nigro, Norberto Marcelo
Paz, Rodrigo Rafael
Dalcin, Lisandro Daniel
author_role author
author2 Nigro, Norberto Marcelo
Paz, Rodrigo Rafael
Dalcin, Lisandro Daniel
author2_role author
author
author
dc.subject.none.fl_str_mv Absorbing Boundary Conditions
Computational Fluid Dynamics
Finite Elements
topic Absorbing Boundary Conditions
Computational Fluid Dynamics
Finite Elements
dc.description.none.fl_txt_mv The number and type of boundary conditions to be used in the numerical modeling of fluid mechanics problems is normally chosen according to a simplified analysis of the characteristics, and also from the experience of the modeler. The problem is harder at inflow/outflow boundaries which are, in most cases, artificial boundaries, so that a bad decision about the boundary conditions to be imposed may affect the precision and stability of the whole computation. For inviscid flows, the analysis of the sense of propagation in the normal direction to the boundaries gives the number of conditions to be imposed and, in addition, the conditions that are "absorbing" for the waves impinging normally to the boundary. In practice, it amounts to counting the number of positive and negative eigenvalues of the advective flux Jacobian projected onto the normal. The problem is even harder when the number of incoming characteristics varies during the computation, and the correct treatment of these cases poses both mathematical and practical problems. One example considered here is a compressible flow where the flow regime at a certain part of an inlet/outlet boundary can change from subsonic to supersonic and the flow can revert. In this work the technique for dynamically imposing the correct number of boundary conditions along the computation, using Lagrange multipliers and penalization, is discussed and several numerical examples are presented.
Fil: Storti, Mario Alberto. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Nigro, Norberto Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Paz, Rodrigo Rafael. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
Fil: Dalcin, Lisandro Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Desarrollo Tecnológico para la Industria Química. Universidad Nacional del Litoral. Instituto de Desarrollo Tecnológico para la Industria Química; Argentina
description The number and type of boundary conditions to be used in the numerical modeling of fluid mechanics problems is normally chosen according to a simplified analysis of the characteristics, and also from the experience of the modeler. The problem is harder at inflow/outflow boundaries which are, in most cases, artificial boundaries, so that a bad decision about the boundary conditions to be imposed may affect the precision and stability of the whole computation. For inviscid flows, the analysis of the sense of propagation in the normal direction to the boundaries gives the number of conditions to be imposed and, in addition, the conditions that are "absorbing" for the waves impinging normally to the boundary. In practice, it amounts to counting the number of positive and negative eigenvalues of the advective flux Jacobian projected onto the normal. The problem is even harder when the number of incoming characteristics varies during the computation, and the correct treatment of these cases poses both mathematical and practical problems. One example considered here is a compressible flow where the flow regime at a certain part of an inlet/outlet boundary can change from subsonic to supersonic and the flow can revert. In this work the technique for dynamically imposing the correct number of boundary conditions along the computation, using Lagrange multipliers and penalization, is discussed and several numerical examples are presented.
publishDate 2008
dc.date.none.fl_str_mv 2008-02
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/11336/76352
Storti, Mario Alberto; Nigro, Norberto Marcelo; Paz, Rodrigo Rafael; Dalcin, Lisandro Daniel; Dynamic Boundary Conditions in Fluid Mechanics; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 197; 13-16; 2-2008; 1219-1232
0045-7825
CONICET Digital
CONICET
url http://hdl.handle.net/11336/76352
identifier_str_mv Storti, Mario Alberto; Nigro, Norberto Marcelo; Paz, Rodrigo Rafael; Dalcin, Lisandro Daniel; Dynamic Boundary Conditions in Fluid Mechanics; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 197; 13-16; 2-2008; 1219-1232
0045-7825
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cma.2007.10.014
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
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science Sa
publisher.none.fl_str_mv Elsevier Science Sa
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 13.22299

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