The effect of subfilter-scale physics on regularization models
Pietarila, J., Holm, D., Mininni, P. D., Pouquet, A.. (2011). The effect of subfilter-scale physics on regularization models. Journal of Scientific Computing, doi:https://doi.org/10.1007/s10915-010-9428-4
| Title | The effect of subfilter-scale physics on regularization models |
|---|---|
| Genre | Article |
| Author(s) | J. Pietarila, D. Holm, Pablo D. Mininni, Annick Pouquet |
| 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. |
| Publication Title | Journal of Scientific Computing |
| Publication Date | Oct 1, 2011 |
| Publisher's Version of Record | https://doi.org/10.1007/s10915-010-9428-4 |
| OpenSky Citable URL | https://n2t.org/ark:/85065/d7qn677h |
| OpenSky Listing | View on OpenSky |
| CISL Affiliations |