The effect of subfilter-scale physics on regularization models

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The subfilter-scale (SFS) physics of regularization models are investigated to understand the regularizations' performance as SFS models. Suppression of spectrally local SFS interactions and conservation of small-scale circulation in the Lagrangian-averaged Navier-Stokes α-model (LANS-α) is fou...

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Autores principales: Pietarila Graham, J., Holm, D.D., Mininni, P., Pouquet, A.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2011
Materias:
Alpha models
Intermittency
LES
MHD
Subgrid-scale processes
Alpha model
Current sheets
Energy spectra
High Reynolds number
Navier Stokes
Nonlocal
Regularization models
Rigid body
Small scale
Subfilter scale
Subgrid scale
Three models
Filters (for fluids)
Lagrange multipliers
Local area networks
Lorentz force
Navier Stokes equations
Reynolds number
Rigid structures
Spectroscopy
Magnetohydrodynamics
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_08857474_v49_n1_p21_PietarilaGraham
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paperaa:paper_08857474_v49_n1_p21_PietarilaGraham
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spelling paperaa:paper_08857474_v49_n1_p21_PietarilaGraham2023-06-12T16:48:20Z The effect of subfilter-scale physics on regularization models J Sci Comput 2011;49(1):21-34 Pietarila Graham, J. Holm, D.D. Mininni, P. Pouquet, A. Alpha models Intermittency LES MHD Subgrid-scale processes Alpha model Current sheets Energy spectra High Reynolds number Intermittency LES Navier Stokes Nonlocal Regularization models Rigid body Small scale Subfilter scale Subgrid scale Three models Filters (for fluids) Lagrange multipliers Local area networks Lorentz force Navier Stokes equations Reynolds number Rigid structures Spectroscopy Magnetohydrodynamics The subfilter-scale (SFS) physics of regularization models are investigated to understand the regularizations' performance as SFS models. Suppression of spectrally local SFS interactions and conservation of small-scale circulation in the Lagrangian-averaged Navier-Stokes α-model (LANS-α) is found to lead to the formation of rigid bodies. These contaminate the superfilter-scale energy spectrum with a scaling that approaches k +1 as the SFS spectra is resolved. The Clark-α and Leray-α models, truncations of LANS-α, do not conserve small-scale circulation and do not develop rigid bodies. LANS-α, however, is closest to Navier-Stokes in intermittency properties. All three models are found to be stable at high Reynolds number. Differences between L 2 and H 1 norm models are clarified. For magnetohydrodynamics (MHD), the presence of the Lorentz force as a source (or sink) for circulation and as a facilitator of both spectrally nonlocal large to small scale interactions as well as local SFS interactions prevents the formation of rigid bodies in Lagrangian-averaged MHD (LAMHD-α). LAMHD-α performs well as a predictor of superfilter-scale energy spectra and of intermittent current sheets at high Reynolds numbers. It may prove generally applicable as a MHD-LES. © 2010 Springer Science+Business Media, LLC. Fil:Mininni, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion application/pdf eng info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_08857474_v49_n1_p21_PietarilaGraham
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
language Inglés
orig_language_str_mv eng
topic Alpha models
Intermittency
LES
MHD
Subgrid-scale processes
Alpha model
Current sheets
Energy spectra
High Reynolds number
Intermittency
LES
Navier Stokes
Nonlocal
Regularization models
Rigid body
Small scale
Subfilter scale
Subgrid scale
Three models
Filters (for fluids)
Lagrange multipliers
Local area networks
Lorentz force
Navier Stokes equations
Reynolds number
Rigid structures
Spectroscopy
Magnetohydrodynamics
spellingShingle Alpha models
Intermittency
LES
MHD
Subgrid-scale processes
Alpha model
Current sheets
Energy spectra
High Reynolds number
Intermittency
LES
Navier Stokes
Nonlocal
Regularization models
Rigid body
Small scale
Subfilter scale
Subgrid scale
Three models
Filters (for fluids)
Lagrange multipliers
Local area networks
Lorentz force
Navier Stokes equations
Reynolds number
Rigid structures
Spectroscopy
Magnetohydrodynamics
Pietarila Graham, J.
Holm, D.D.
Mininni, P.
Pouquet, A.
The effect of subfilter-scale physics on regularization models
topic_facet Alpha models
Intermittency
LES
MHD
Subgrid-scale processes
Alpha model
Current sheets
Energy spectra
High Reynolds number
Intermittency
LES
Navier Stokes
Nonlocal
Regularization models
Rigid body
Small scale
Subfilter scale
Subgrid scale
Three models
Filters (for fluids)
Lagrange multipliers
Local area networks
Lorentz force
Navier Stokes equations
Reynolds number
Rigid structures
Spectroscopy
Magnetohydrodynamics
description The subfilter-scale (SFS) physics of regularization models are investigated to understand the regularizations' performance as SFS models. Suppression of spectrally local SFS interactions and conservation of small-scale circulation in the Lagrangian-averaged Navier-Stokes α-model (LANS-α) is found to lead to the formation of rigid bodies. These contaminate the superfilter-scale energy spectrum with a scaling that approaches k +1 as the SFS spectra is resolved. The Clark-α and Leray-α models, truncations of LANS-α, do not conserve small-scale circulation and do not develop rigid bodies. LANS-α, however, is closest to Navier-Stokes in intermittency properties. All three models are found to be stable at high Reynolds number. Differences between L 2 and H 1 norm models are clarified. For magnetohydrodynamics (MHD), the presence of the Lorentz force as a source (or sink) for circulation and as a facilitator of both spectrally nonlocal large to small scale interactions as well as local SFS interactions prevents the formation of rigid bodies in Lagrangian-averaged MHD (LAMHD-α). LAMHD-α performs well as a predictor of superfilter-scale energy spectra and of intermittent current sheets at high Reynolds numbers. It may prove generally applicable as a MHD-LES. © 2010 Springer Science+Business Media, LLC.
format Artículo
Artículo
publishedVersion
author Pietarila Graham, J.
Holm, D.D.
Mininni, P.
Pouquet, A.
author_facet Pietarila Graham, J.
Holm, D.D.
Mininni, P.
Pouquet, A.
author_sort Pietarila Graham, J.
title The effect of subfilter-scale physics on regularization models
title_short The effect of subfilter-scale physics on regularization models
title_full The effect of subfilter-scale physics on regularization models
title_fullStr The effect of subfilter-scale physics on regularization models
title_full_unstemmed The effect of subfilter-scale physics on regularization models
title_sort effect of subfilter-scale physics on regularization models
publishDate 2011
url http://hdl.handle.net/20.500.12110/paper_08857474_v49_n1_p21_PietarilaGraham
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