Variational multiscale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling

This is the accepted version of the following article: [Bayona C, Baiges J, Codina R. Variational multi-scale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling. Int J Numer Meth Fluids. 2018;86:313–328. https://doi.org/10.1002/...

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Detalles Bibliográficos
Autores: Bayona Roa, Camilo Andrés, Baiges Aznar, Joan|||0000-0002-3940-5887, Codina, Ramon|||0000-0002-7412-778X
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/114294
Acceso en línea:https://hdl.handle.net/2117/114294
https://dx.doi.org/10.1002/fld.4420
Access Level:acceso abierto
Palabra clave:Turbulence--Mathematical models
Burgers equation
direct numerical simulation
large eddy simulation
turbulence
orthogonal subgrid scales
variational multiscale method
Turbulència -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
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oai_identifier_str oai:upcommons.upc.edu:2117/114294
network_acronym_str ES
network_name_str España
repository_id_str
spelling Variational multiscale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modelingBayona Roa, Camilo AndrésBaiges Aznar, Joan|||0000-0002-3940-5887Codina, Ramon|||0000-0002-7412-778XTurbulence--Mathematical modelsBurgers equationdirect numerical simulationlarge eddy simulationturbulenceorthogonal subgrid scalesvariational multiscale methodTurbulència -- Models matemàticsÀrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèricaThis is the accepted version of the following article: [Bayona C, Baiges J, Codina R. Variational multi-scale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling. Int J Numer Meth Fluids. 2018;86:313–328. https://doi.org/10.1002/fld.4420], which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/fld.4420/fullA numerical approximation for the one-dimensional Burgers equation is proposed by means of the orthogonal subgrid scales–variational multiscale (OSGS-VMS) method. We evaluate the role of the variational subscales in describing the Burgers “turbulence” phenomena. Particularly, we seek to clarify the interaction between the subscales and the resolved scales when the former are defined to be orthogonal to the finite-dimensional space. Direct numerical simulation is used to evaluate the resulting OSGS-VMS energy spectra. The comparison against a large eddy simulation model is presented for numerical discretizations in which the grid is not capable of solving the small scales. An accurate approximation to the phenomena of turbulence is obtained with the addition of the purely dissipative numerical terms given by the OSGS-VMS method without any modification of the continuous problem.Peer Reviewed20182018-02-0120182018-02-20journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/114294https://dx.doi.org/10.1002/fld.4420reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1142942026-05-27T15:37:01Z
dc.title.none.fl_str_mv Variational multiscale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling
title Variational multiscale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling
spellingShingle Variational multiscale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling
Bayona Roa, Camilo Andrés
Turbulence--Mathematical models
Burgers equation
direct numerical simulation
large eddy simulation
turbulence
orthogonal subgrid scales
variational multiscale method
Turbulència -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
title_short Variational multiscale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling
title_full Variational multiscale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling
title_fullStr Variational multiscale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling
title_full_unstemmed Variational multiscale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling
title_sort Variational multiscale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling
dc.creator.none.fl_str_mv Bayona Roa, Camilo Andrés
Baiges Aznar, Joan|||0000-0002-3940-5887
Codina, Ramon|||0000-0002-7412-778X
author Bayona Roa, Camilo Andrés
author_facet Bayona Roa, Camilo Andrés
Baiges Aznar, Joan|||0000-0002-3940-5887
Codina, Ramon|||0000-0002-7412-778X
author_role author
author2 Baiges Aznar, Joan|||0000-0002-3940-5887
Codina, Ramon|||0000-0002-7412-778X
author2_role author
author
dc.subject.none.fl_str_mv Turbulence--Mathematical models
Burgers equation
direct numerical simulation
large eddy simulation
turbulence
orthogonal subgrid scales
variational multiscale method
Turbulència -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
topic Turbulence--Mathematical models
Burgers equation
direct numerical simulation
large eddy simulation
turbulence
orthogonal subgrid scales
variational multiscale method
Turbulència -- Models matemàtics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
description This is the accepted version of the following article: [Bayona C, Baiges J, Codina R. Variational multi-scale approximation of the one-dimensional forced Burgers equation: the role of orthogonal subgrid scales in turbulence modeling. Int J Numer Meth Fluids. 2018;86:313–328. https://doi.org/10.1002/fld.4420], which has been published in final form at http://onlinelibrary.wiley.com/doi/10.1002/fld.4420/full
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-02-01
2018
2018-02-20
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/114294
https://dx.doi.org/10.1002/fld.4420
url https://hdl.handle.net/2117/114294
https://dx.doi.org/10.1002/fld.4420
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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