The effect of subfilter-scale physics on regularization models

AMS Citation:
Pietarila, J. G., D. Holm, P. Mininni, and A. Pouquet, 2011: The effect of subfilter-scale physics on regularization models. Journal of Scientific Computing, doi:10.1007/s10915-010-9428-4.
Resource Type:article
Title:The effect of subfilter-scale physics on regularization models
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.
Subject(s):Subgrid-scale processes, Alpha models
Peer Review:Refereed
Copyright Information:An edited version of this paper was published by Springer. Copyright Springer Science+Business Media, LLC 2010.
OpenSky citable URL: ark:/85065/d7qn677h
Publisher's Version: 10.1007/s10915-010-9428-4
  • Jonathan Pietarila
  • Daryl Holm
  • Pablo Mininni - NCAR/UCAR
  • Annick Pouquet - NCAR/UCAR
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