Spectrally-Consistent Regularization of Navier–Stokes Equations

This is a post-peer-review, pre-copyedit version of an article published in Journal of Scientific Computing. The final authenticated version is available online at:https://doi.org/10.1007/s10915-018-0880-x ".

Detalles Bibliográficos
Autores: Trias Miquel, Francesc Xavier|||0000-0002-5966-0703, Folch Flórez, David, Gorobets, Andrei, Oliva Llena, Asensio|||0000-0002-2805-4794
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:2117/125955
Acceso en línea:https://hdl.handle.net/2117/125955
https://dx.doi.org/10.1007/s10915-018-0880-x
Access Level:acceso abierto
Palabra clave:Turbulence--Simulation methods
Navier-Stokes equations
Regularization
Navier–Stokes
LES
Turbulence
Turbulència -- Simulació numèrica
Equacions de Navier-Stokes
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
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spelling Spectrally-Consistent Regularization of Navier–Stokes EquationsTrias Miquel, Francesc Xavier|||0000-0002-5966-0703Folch Flórez, DavidGorobets, AndreiOliva Llena, Asensio|||0000-0002-2805-4794Turbulence--Simulation methodsNavier-Stokes equationsRegularizationNavier–StokesLESTurbulenceTurbulència -- Simulació numèricaEquacions de Navier-StokesÀrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluidsThis is a post-peer-review, pre-copyedit version of an article published in Journal of Scientific Computing. The final authenticated version is available online at:https://doi.org/10.1007/s10915-018-0880-x ".The incompressible Navier–Stokes equations form an excellent mathematical model for turbulent flows. However, direct simulations at high Reynolds numbers are not feasible because the convective term produces far too many relevant scales of motion. Therefore, in the foreseeable future, numerical simulations of turbulent flows will have to resort to models of the small scales. Large-eddy simulation (LES) and regularization models are examples thereof. In the present work, we propose to combine both approaches in a spectrally-consistent way: i.e. preserving the (skew-)symmetries of the differential operators. Restoring the Galilean invariance of the regularization method results into an additional hyperviscosity term. In this way, the convective production of small scales is effectively restrained whereas the destruction of the small scales is enhanced by this hyperviscosity effect. This approach leads to a blending between regularization of the convective term and LES. The performance of these improvements is assessed through application to Burgers’ equation, homogeneous isotropic turbulence and a turbulent channel flow.Peer Reviewed20192019-05-0120182018-12-18journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/125955https://dx.doi.org/10.1007/s10915-018-0880-xreponame: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:2117/1259552026-05-27T15:37:01Z
dc.title.none.fl_str_mv Spectrally-Consistent Regularization of Navier–Stokes Equations
title Spectrally-Consistent Regularization of Navier–Stokes Equations
spellingShingle Spectrally-Consistent Regularization of Navier–Stokes Equations
Trias Miquel, Francesc Xavier|||0000-0002-5966-0703
Turbulence--Simulation methods
Navier-Stokes equations
Regularization
Navier–Stokes
LES
Turbulence
Turbulència -- Simulació numèrica
Equacions de Navier-Stokes
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
title_short Spectrally-Consistent Regularization of Navier–Stokes Equations
title_full Spectrally-Consistent Regularization of Navier–Stokes Equations
title_fullStr Spectrally-Consistent Regularization of Navier–Stokes Equations
title_full_unstemmed Spectrally-Consistent Regularization of Navier–Stokes Equations
title_sort Spectrally-Consistent Regularization of Navier–Stokes Equations
dc.creator.none.fl_str_mv Trias Miquel, Francesc Xavier|||0000-0002-5966-0703
Folch Flórez, David
Gorobets, Andrei
Oliva Llena, Asensio|||0000-0002-2805-4794
author Trias Miquel, Francesc Xavier|||0000-0002-5966-0703
author_facet Trias Miquel, Francesc Xavier|||0000-0002-5966-0703
Folch Flórez, David
Gorobets, Andrei
Oliva Llena, Asensio|||0000-0002-2805-4794
author_role author
author2 Folch Flórez, David
Gorobets, Andrei
Oliva Llena, Asensio|||0000-0002-2805-4794
author2_role author
author
author
dc.subject.none.fl_str_mv Turbulence--Simulation methods
Navier-Stokes equations
Regularization
Navier–Stokes
LES
Turbulence
Turbulència -- Simulació numèrica
Equacions de Navier-Stokes
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
topic Turbulence--Simulation methods
Navier-Stokes equations
Regularization
Navier–Stokes
LES
Turbulence
Turbulència -- Simulació numèrica
Equacions de Navier-Stokes
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
description This is a post-peer-review, pre-copyedit version of an article published in Journal of Scientific Computing. The final authenticated version is available online at:https://doi.org/10.1007/s10915-018-0880-x ".
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-12-18
2019
2019-05-01
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/2117/125955
https://dx.doi.org/10.1007/s10915-018-0880-x
url https://hdl.handle.net/2117/125955
https://dx.doi.org/10.1007/s10915-018-0880-x
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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