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Regularization method for large eddy simulations of shock-turbulence interactions

Braun, N. O. and Pullin, D. I. and Meiron, D. I. (2018) Regularization method for large eddy simulations of shock-turbulence interactions. Journal of Computational Physics, 361 . pp. 231-246. ISSN 0021-9991. doi:10.1016/

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The rapid change in scales over a shock has the potential to introduce unique difficulties in Large Eddy Simulations (LES) of compressible shock-turbulence flows if the governing model does not sufficiently capture the spectral distribution of energy in the upstream turbulence. A method for the regularization of LES of shock-turbulence interactions is presented which is constructed to enforce that the energy content in the highest resolved wavenumbers decays as k^(−5/3), and is computed locally in physical-space at low computational cost. The application of the regularization to an existing subgrid scale model is shown to remove high wavenumber errors while maintaining agreement with Direct Numerical Simulations (DNS) of forced and decaying isotropic turbulence. Linear interaction analysis is implemented to model the interaction of a shock with isotropic turbulence from LES. Comparisons to analytical models suggest that the regularization significantly improves the ability of the LES to predict amplifications in subgrid terms over the modeled shockwave. LES and DNS of decaying, modeled post shock turbulence are also considered, and inclusion of the regularization in shock-turbulence LES is shown to improve agreement with lower Reynolds number DNS.

Item Type:Article
Related URLs:
URLURL TypeDescription
Braun, N. O.0000-0002-9710-0686
Meiron, D. I.0000-0003-0397-3775
Additional Information:© 2018 Elsevier Inc. Received 6 April 2017, Revised 10 January 2018, Accepted 30 January 2018, Available online 13 February 2018. This work was supported under Los Alamos National Laboratory contract number 74372-001-09, and the Extreme Science and Engineering Discovery Environment (XSEDE) [46], which is supported by National Science Foundation grant number ACI-1053575.
Group:GALCIT, Graduate Aeronautical Laboratories (Fluid Mechanics)
Funding AgencyGrant Number
Los Alamos National Laboratory74372-001-09
Subject Keywords:Compressible turbulence; Shockwaves; LES; Hyperviscosity
Record Number:CaltechAUTHORS:20180214-082550535
Persistent URL:
Official Citation:N.O. Braun, D.I. Pullin, D.I. Meiron, Regularization method for large eddy simulations of shock-turbulence interactions, Journal of Computational Physics, Volume 361, 15 May 2018, Pages 231-246, ISSN 0021-9991, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:84825
Deposited By: Tony Diaz
Deposited On:14 Feb 2018 20:23
Last Modified:15 Nov 2021 20:23

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