On the error analysis for geometrical volume of fluid methods

Autores
Pairetti, César I.; Márquez Damián, Santiago; Nigro, Norberto M.
Año de publicación
2017
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
The Piecewise-Linear Interface Calculation (PLIC) algorithm is a well known technique for interface reconstruction, widely used in several Volume of Fluid (VOF) codes both commercial and open-source. In this work, an unstructured mesh implementation of these tools in OpenFOAM(R) is described and tested. The underlying numerical features of this new solver are described, showing how the programmed schemes accomplish local and global conservativeness. An extension of geometrical schemes to the momentum equation is also discussed, remarking the advantages of using the so called momentum-conserving scheme instead of a standard algebraic TVD advection method. Several benchmark problems are solved, comparing the results with the ones available in literature and analytical solutions. Different error norms are used to evaluate the solver accuracy in problems involving advection of discontinuous functions. Finally, a simple atomization problem is solved, comparing these results with solutions obtained using original OpenFOAM(R) VOF formulation.
Publicado en: Mecánica Computacional vol. XXXV, no. 19
Facultad de Ingeniería
Materia
Ingeniería
Volume of Fluid
PLIC
Error analysis
OpenFOAM(R)
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/103812
Acceder
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network_name_str SEDICI (UNLP)
spelling On the error analysis for geometrical volume of fluid methodsPairetti, César I.Márquez Damián, SantiagoNigro, Norberto M.IngenieríaVolume of FluidPLICError analysisOpenFOAM(R)The Piecewise-Linear Interface Calculation (PLIC) algorithm is a well known technique for interface reconstruction, widely used in several Volume of Fluid (VOF) codes both commercial and open-source. In this work, an unstructured mesh implementation of these tools in OpenFOAM(R) is described and tested. The underlying numerical features of this new solver are described, showing how the programmed schemes accomplish local and global conservativeness. An extension of geometrical schemes to the momentum equation is also discussed, remarking the advantages of using the so called momentum-conserving scheme instead of a standard algebraic TVD advection method. Several benchmark problems are solved, comparing the results with the ones available in literature and analytical solutions. Different error norms are used to evaluate the solver accuracy in problems involving advection of discontinuous functions. Finally, a simple atomization problem is solved, comparing these results with solutions obtained using original OpenFOAM(R) VOF formulation.Publicado en: <i>Mecánica Computacional</i> vol. XXXV, no. 19Facultad de Ingeniería2017-11info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionResumenhttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdf1101-1101http://sedici.unlp.edu.ar/handle/10915/103812enginfo:eu-repo/semantics/altIdentifier/url/https://cimec.org.ar/ojs/index.php/mc/article/view/5328info:eu-repo/semantics/altIdentifier/issn/2591-3522info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:22:37Zoai:sedici.unlp.edu.ar:10915/103812Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:22:37.992SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv On the error analysis for geometrical volume of fluid methods
title On the error analysis for geometrical volume of fluid methods
spellingShingle On the error analysis for geometrical volume of fluid methods
Pairetti, César I.
Ingeniería
Volume of Fluid
PLIC
Error analysis
OpenFOAM(R)
title_short On the error analysis for geometrical volume of fluid methods
title_full On the error analysis for geometrical volume of fluid methods
title_fullStr On the error analysis for geometrical volume of fluid methods
title_full_unstemmed On the error analysis for geometrical volume of fluid methods
title_sort On the error analysis for geometrical volume of fluid methods
dc.creator.none.fl_str_mv Pairetti, César I.
Márquez Damián, Santiago
Nigro, Norberto M.
author Pairetti, César I.
author_facet Pairetti, César I.
Márquez Damián, Santiago
Nigro, Norberto M.
author_role author
author2 Márquez Damián, Santiago
Nigro, Norberto M.
author2_role author
author
dc.subject.none.fl_str_mv Ingeniería
Volume of Fluid
PLIC
Error analysis
OpenFOAM(R)
topic Ingeniería
Volume of Fluid
PLIC
Error analysis
OpenFOAM(R)
dc.description.none.fl_txt_mv The Piecewise-Linear Interface Calculation (PLIC) algorithm is a well known technique for interface reconstruction, widely used in several Volume of Fluid (VOF) codes both commercial and open-source. In this work, an unstructured mesh implementation of these tools in OpenFOAM(R) is described and tested. The underlying numerical features of this new solver are described, showing how the programmed schemes accomplish local and global conservativeness. An extension of geometrical schemes to the momentum equation is also discussed, remarking the advantages of using the so called momentum-conserving scheme instead of a standard algebraic TVD advection method. Several benchmark problems are solved, comparing the results with the ones available in literature and analytical solutions. Different error norms are used to evaluate the solver accuracy in problems involving advection of discontinuous functions. Finally, a simple atomization problem is solved, comparing these results with solutions obtained using original OpenFOAM(R) VOF formulation.
Publicado en: <i>Mecánica Computacional</i> vol. XXXV, no. 19
Facultad de Ingeniería
description The Piecewise-Linear Interface Calculation (PLIC) algorithm is a well known technique for interface reconstruction, widely used in several Volume of Fluid (VOF) codes both commercial and open-source. In this work, an unstructured mesh implementation of these tools in OpenFOAM(R) is described and tested. The underlying numerical features of this new solver are described, showing how the programmed schemes accomplish local and global conservativeness. An extension of geometrical schemes to the momentum equation is also discussed, remarking the advantages of using the so called momentum-conserving scheme instead of a standard algebraic TVD advection method. Several benchmark problems are solved, comparing the results with the ones available in literature and analytical solutions. Different error norms are used to evaluate the solver accuracy in problems involving advection of discontinuous functions. Finally, a simple atomization problem is solved, comparing these results with solutions obtained using original OpenFOAM(R) VOF formulation.
publishDate 2017
dc.date.none.fl_str_mv 2017-11
dc.type.none.fl_str_mv info:eu-repo/semantics/conferenceObject
info:eu-repo/semantics/publishedVersion
Resumen
http://purl.org/coar/resource_type/c_5794
info:ar-repo/semantics/documentoDeConferencia
format conferenceObject
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/103812
url http://sedici.unlp.edu.ar/handle/10915/103812
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://cimec.org.ar/ojs/index.php/mc/article/view/5328
info:eu-repo/semantics/altIdentifier/issn/2591-3522
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
1101-1101
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
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instname_str Universidad Nacional de La Plata
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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