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Abstract:

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.

Registro:

Documento: Artículo
Título:The effect of subfilter-scale physics on regularization models
Autor:Pietarila Graham, J.; Holm, D.D.; Mininni, P.; Pouquet, A.
Filiación:Max-Planck-Institut für Sonnensystemforschung, Katlenburg-Lindau, Germany
Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, MD, United States
Department of Mathematics, Imperial College London, London, United Kingdom
National Center for Atmospheric Research, Boulder, CO, United States
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina
Palabras clave: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
Año:2011
Volumen:49
Número:1
Página de inicio:21
Página de fin:34
DOI: http://dx.doi.org/10.1007/s10915-010-9428-4
Título revista:Journal of Scientific Computing
Título revista abreviado:J Sci Comput
ISSN:08857474
CODEN:JSCOE
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_08857474_v49_n1_p21_PietarilaGraham.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08857474_v49_n1_p21_PietarilaGraham

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Citas:

---------- APA ----------
Pietarila Graham, J., Holm, D.D., Mininni, P. & Pouquet, A. (2011) . The effect of subfilter-scale physics on regularization models. Journal of Scientific Computing, 49(1), 21-34.
http://dx.doi.org/10.1007/s10915-010-9428-4
---------- CHICAGO ----------
Pietarila Graham, J., Holm, D.D., Mininni, P., Pouquet, A. "The effect of subfilter-scale physics on regularization models" . Journal of Scientific Computing 49, no. 1 (2011) : 21-34.
http://dx.doi.org/10.1007/s10915-010-9428-4
---------- MLA ----------
Pietarila Graham, J., Holm, D.D., Mininni, P., Pouquet, A. "The effect of subfilter-scale physics on regularization models" . Journal of Scientific Computing, vol. 49, no. 1, 2011, pp. 21-34.
http://dx.doi.org/10.1007/s10915-010-9428-4
---------- VANCOUVER ----------
Pietarila Graham, J., Holm, D.D., Mininni, P., Pouquet, A. The effect of subfilter-scale physics on regularization models. J Sci Comput. 2011;49(1):21-34.
http://dx.doi.org/10.1007/s10915-010-9428-4