Building proper invariants for eddy-viscosity subgrid-scale models

Copyright 2015 AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.

Detalles Bibliográficos
Autores: Trias Miquel, Francesc Xavier|||0000-0002-5966-0703, Folch, David, Gorobets, Andrei, Oliva Llena, Asensio|||0000-0002-2805-4794
Tipo de recurso: artículo
Fecha de publicación:2015
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:2117/85302
Acceso en línea:https://hdl.handle.net/2117/85302
https://dx.doi.org/10.1063/1.4921817
Access Level:acceso abierto
Palabra clave:Fluid mechanics
Turbulence
phase space methods
tensor methods
inequalities
large eddy simulations
isotropic turbulence
Mecànica de fluids
Turbulència
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
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spelling Building proper invariants for eddy-viscosity subgrid-scale modelsTrias Miquel, Francesc Xavier|||0000-0002-5966-0703Folch, DavidGorobets, AndreiOliva Llena, Asensio|||0000-0002-2805-4794Fluid mechanicsTurbulencephase space methodstensor methodsinequalitieslarge eddy simulationsisotropic turbulenceMecànica de fluidsTurbulènciaÀrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluidsCopyright 2015 AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.Direct simulations of the incompressible Navier-Stokes equations are limited to relatively low-Reynolds numbers. Hence, dynamically less complex mathematical formulations are necessary for coarse-grain simulations. Eddy-viscosity models for large-eddy simulation is probably the most popular example thereof: they rely on differential operators that should properly detect different flow configurations (laminar and 2D flows, near-wall behavior, transitional regime, etc.). Most of them are based on the combination of invariants of a symmetric tensor that depends on the gradient of the resolved velocity field, . In this work, models are presented within a framework consisting of a 5D phase space of invariants. In this way, new models can be constructed by imposing appropriate restrictions in this space. For instance, considering the three invariants P GG T , Q GG T , and R GG T of the tensorGG T , and imposing the proper cubic near-wall behavior, i.e., , we deduce that the eddy-viscosity is given by . Moreover, only R GG T -dependent models, i.e., p > - 5/2, switch off for 2D flows. Finally, the model constant may be related with the Vreman’s model constant via ; this guarantees both numerical stability and that the models have less or equal dissipation than Vreman’s model, i.e., . The performance of the proposed models is successfully tested for decaying isotropic turbulence and a turbulent channel flow. The former test-case has revealed that the model constant, C s3pqr , should be higher than 0.458 to obtain the right amount of subgrid-scale dissipation, i.e., C s3pq = 0.572 (p = - 5/2), C s3pr = 0.709 (p = - 1), and C s3qr = 0.762 (p = 0).Peer Reviewed20152015-06-2320162016-04-06journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/85302https://dx.doi.org/10.1063/1.4921817reponame: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:2117/853022026-05-27T15:37:01Z
dc.title.none.fl_str_mv Building proper invariants for eddy-viscosity subgrid-scale models
title Building proper invariants for eddy-viscosity subgrid-scale models
spellingShingle Building proper invariants for eddy-viscosity subgrid-scale models
Trias Miquel, Francesc Xavier|||0000-0002-5966-0703
Fluid mechanics
Turbulence
phase space methods
tensor methods
inequalities
large eddy simulations
isotropic turbulence
Mecànica de fluids
Turbulència
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
title_short Building proper invariants for eddy-viscosity subgrid-scale models
title_full Building proper invariants for eddy-viscosity subgrid-scale models
title_fullStr Building proper invariants for eddy-viscosity subgrid-scale models
title_full_unstemmed Building proper invariants for eddy-viscosity subgrid-scale models
title_sort Building proper invariants for eddy-viscosity subgrid-scale models
dc.creator.none.fl_str_mv Trias Miquel, Francesc Xavier|||0000-0002-5966-0703
Folch, 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, David
Gorobets, Andrei
Oliva Llena, Asensio|||0000-0002-2805-4794
author_role author
author2 Folch, David
Gorobets, Andrei
Oliva Llena, Asensio|||0000-0002-2805-4794
author2_role author
author
author
dc.subject.none.fl_str_mv Fluid mechanics
Turbulence
phase space methods
tensor methods
inequalities
large eddy simulations
isotropic turbulence
Mecànica de fluids
Turbulència
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
topic Fluid mechanics
Turbulence
phase space methods
tensor methods
inequalities
large eddy simulations
isotropic turbulence
Mecànica de fluids
Turbulència
Àrees temàtiques de la UPC::Enginyeria mecànica::Mecànica de fluids
description Copyright 2015 AIP Publishing. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-06-23
2016
2016-04-06
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/85302
https://dx.doi.org/10.1063/1.4921817
url https://hdl.handle.net/2117/85302
https://dx.doi.org/10.1063/1.4921817
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 15.301603

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