Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published May 15, 2018 | public
Journal Article

Regularization method for large eddy simulations of shock-turbulence interactions


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.

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.

Additional details

August 21, 2023
March 5, 2024