The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order Model

Autores
Idelsohn, Sergio Rodolfo; Gimenez, Juan Marcelo; Nigro, Norberto Marcelo
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The multiscale method called Pseudo-Direct Numerical Simulation (P-DNS) is presented as a Reduced Order Model (ROM) aiming to solve problems obtaining similar accuracy to a solution with many degrees of freedom (DOF). The theoretical basis of P-DNS is other than any standard ROM. However, from a methodological point of view, P-DNS shares the idea of an offline computation, as ROM does, providing the set of coefficients, as a database or table, needed to solve the main problem. This work highlights the advantages and disadvantages of both methodologies. In particular, the drawback of the standard ROM concerning problems where space and time are not separated variables is discussed. The so-called Idelsohn’s benchmark is possibly the most elemental test that can be proposed to point out this drawback. This one-dimensional heat transfer problem with a moving heat source shows that, unlike ROMs, P-DNS can solve it by reducing the number of degrees of freedom as much as needed.
Fil: Idelsohn, Sergio Rodolfo. Centre Internacional de Mètodes Numèrics En Enginyeria; España. Institució Catalana de Recerca i Estudis Avancats; España. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Gimenez, Juan Marcelo. 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. Centre Internacional de Mètodes Numèrics En Enginyeria; España
Fil: Nigro, Norberto Marcelo. 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
Materia
IDELSOHN’S BENCHMARK
MULTI-SCALE METHODS
PSEUDO DIRECT NUMERICAL SIMULATION
REDUCED ORDER MODELS
TRANSIENT ADVECTION DIFFUSION REACTION PROBLEMS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/204558
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order ModelIdelsohn, Sergio RodolfoGimenez, Juan MarceloNigro, Norberto MarceloIDELSOHN’S BENCHMARKMULTI-SCALE METHODSPSEUDO DIRECT NUMERICAL SIMULATIONREDUCED ORDER MODELSTRANSIENT ADVECTION DIFFUSION REACTION PROBLEMShttps://purl.org/becyt/ford/2.11https://purl.org/becyt/ford/2The multiscale method called Pseudo-Direct Numerical Simulation (P-DNS) is presented as a Reduced Order Model (ROM) aiming to solve problems obtaining similar accuracy to a solution with many degrees of freedom (DOF). The theoretical basis of P-DNS is other than any standard ROM. However, from a methodological point of view, P-DNS shares the idea of an offline computation, as ROM does, providing the set of coefficients, as a database or table, needed to solve the main problem. This work highlights the advantages and disadvantages of both methodologies. In particular, the drawback of the standard ROM concerning problems where space and time are not separated variables is discussed. The so-called Idelsohn’s benchmark is possibly the most elemental test that can be proposed to point out this drawback. This one-dimensional heat transfer problem with a moving heat source shows that, unlike ROMs, P-DNS can solve it by reducing the number of degrees of freedom as much as needed.Fil: Idelsohn, Sergio Rodolfo. Centre Internacional de Mètodes Numèrics En Enginyeria; España. Institució Catalana de Recerca i Estudis Avancats; España. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Gimenez, Juan Marcelo. 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. Centre Internacional de Mètodes Numèrics En Enginyeria; EspañaFil: Nigro, Norberto Marcelo. 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; ArgentinaSpringer2022-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/204558Idelsohn, Sergio Rodolfo; Gimenez, Juan Marcelo; Nigro, Norberto Marcelo; The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order Model; Springer; Advanced Modeling and Simulation in Engineering Sciences; 9; 1; 12-2022; 1-222213-7467CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1186/s40323-022-00235-7info:eu-repo/semantics/altIdentifier/url/https://amses-journal.springeropen.com/articles/10.1186/s40323-022-00235-7info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:37:41Zoai:ri.conicet.gov.ar:11336/204558instacron: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 14:37:41.455CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order Model
title The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order Model
spellingShingle The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order Model
Idelsohn, Sergio Rodolfo
IDELSOHN’S BENCHMARK
MULTI-SCALE METHODS
PSEUDO DIRECT NUMERICAL SIMULATION
REDUCED ORDER MODELS
TRANSIENT ADVECTION DIFFUSION REACTION PROBLEMS
title_short The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order Model
title_full The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order Model
title_fullStr The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order Model
title_full_unstemmed The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order Model
title_sort The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order Model
dc.creator.none.fl_str_mv Idelsohn, Sergio Rodolfo
Gimenez, Juan Marcelo
Nigro, Norberto Marcelo
author Idelsohn, Sergio Rodolfo
author_facet Idelsohn, Sergio Rodolfo
Gimenez, Juan Marcelo
Nigro, Norberto Marcelo
author_role author
author2 Gimenez, Juan Marcelo
Nigro, Norberto Marcelo
author2_role author
author
dc.subject.none.fl_str_mv IDELSOHN’S BENCHMARK
MULTI-SCALE METHODS
PSEUDO DIRECT NUMERICAL SIMULATION
REDUCED ORDER MODELS
TRANSIENT ADVECTION DIFFUSION REACTION PROBLEMS
topic IDELSOHN’S BENCHMARK
MULTI-SCALE METHODS
PSEUDO DIRECT NUMERICAL SIMULATION
REDUCED ORDER MODELS
TRANSIENT ADVECTION DIFFUSION REACTION PROBLEMS
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.11
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The multiscale method called Pseudo-Direct Numerical Simulation (P-DNS) is presented as a Reduced Order Model (ROM) aiming to solve problems obtaining similar accuracy to a solution with many degrees of freedom (DOF). The theoretical basis of P-DNS is other than any standard ROM. However, from a methodological point of view, P-DNS shares the idea of an offline computation, as ROM does, providing the set of coefficients, as a database or table, needed to solve the main problem. This work highlights the advantages and disadvantages of both methodologies. In particular, the drawback of the standard ROM concerning problems where space and time are not separated variables is discussed. The so-called Idelsohn’s benchmark is possibly the most elemental test that can be proposed to point out this drawback. This one-dimensional heat transfer problem with a moving heat source shows that, unlike ROMs, P-DNS can solve it by reducing the number of degrees of freedom as much as needed.
Fil: Idelsohn, Sergio Rodolfo. Centre Internacional de Mètodes Numèrics En Enginyeria; España. Institució Catalana de Recerca i Estudis Avancats; España. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Gimenez, Juan Marcelo. 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. Centre Internacional de Mètodes Numèrics En Enginyeria; España
Fil: Nigro, Norberto Marcelo. 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
description The multiscale method called Pseudo-Direct Numerical Simulation (P-DNS) is presented as a Reduced Order Model (ROM) aiming to solve problems obtaining similar accuracy to a solution with many degrees of freedom (DOF). The theoretical basis of P-DNS is other than any standard ROM. However, from a methodological point of view, P-DNS shares the idea of an offline computation, as ROM does, providing the set of coefficients, as a database or table, needed to solve the main problem. This work highlights the advantages and disadvantages of both methodologies. In particular, the drawback of the standard ROM concerning problems where space and time are not separated variables is discussed. The so-called Idelsohn’s benchmark is possibly the most elemental test that can be proposed to point out this drawback. This one-dimensional heat transfer problem with a moving heat source shows that, unlike ROMs, P-DNS can solve it by reducing the number of degrees of freedom as much as needed.
publishDate 2022
dc.date.none.fl_str_mv 2022-12
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/11336/204558
Idelsohn, Sergio Rodolfo; Gimenez, Juan Marcelo; Nigro, Norberto Marcelo; The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order Model; Springer; Advanced Modeling and Simulation in Engineering Sciences; 9; 1; 12-2022; 1-22
2213-7467
CONICET Digital
CONICET
url http://hdl.handle.net/11336/204558
identifier_str_mv Idelsohn, Sergio Rodolfo; Gimenez, Juan Marcelo; Nigro, Norberto Marcelo; The Pseudo-Direct Numerical Simulation Method considered as a Reduced Order Model; Springer; Advanced Modeling and Simulation in Engineering Sciences; 9; 1; 12-2022; 1-22
2213-7467
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1186/s40323-022-00235-7
info:eu-repo/semantics/altIdentifier/url/https://amses-journal.springeropen.com/articles/10.1186/s40323-022-00235-7
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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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