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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Autor principal:	Mininni, Pablo Daniel
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:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08857474_v49_n1_p21_PietarilaGraham http://hdl.handle.net/20.500.12110/paper_08857474_v49_n1_p21_PietarilaGraham
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_08857474_v49_n1_p21_PietarilaGraham
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spelling	paper:paper_08857474_v49_n1_p21_PietarilaGraham2023-06-08T15:46:43Z The effect of subfilter-scale physics on regularization models Mininni, Pablo Daniel 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 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08857474_v49_n1_p21_PietarilaGraham 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)
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 Mininni, Pablo Daniel 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.
author	Mininni, Pablo Daniel
author_facet	Mininni, Pablo Daniel
author_sort	Mininni, Pablo Daniel
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	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08857474_v49_n1_p21_PietarilaGraham http://hdl.handle.net/20.500.12110/paper_08857474_v49_n1_p21_PietarilaGraham
work_keys_str_mv	AT mininnipablodaniel theeffectofsubfilterscalephysicsonregularizationmodels AT mininnipablodaniel effectofsubfilterscalephysicsonregularizationmodels
_version_	1768545605226856448

The effect of subfilter-scale physics on regularization models

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