High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks
Abstract
Simulation of turbulent flows with shocks employing subgridscale (SGS) filtering may encounter a loss of accuracy in the vicinity of a shock. This paper addresses the accuracy improvement of LES of turbulent flows in two ways: (a) from the SGS model standpoint and (b) from the numerical method improvement standpoint. In an internal report, Kotov et al. ( “High Order Numerical Methods for large eddy simulation (LES) of Turbulent Flows with Shocks”, CTR Tech Brief, Oct. 2014, Stanford University), we performed a preliminary comparative study of different approaches to reduce the loss of accuracy within the framework of the dynamic Germano SGS model. The high order low dissipative method of Yee & Sjögreen (2009) using local flow sensors to control the amount of numerical dissipation where needed is used for the LES simulation. The considered improved dynamics model approaches include applying the onesided SGS test filter of Sagaut & Germano (2005) and/or disabling the SGS terms at the shock location. For Mach 1.5 and 3 canonical shockturbulence interaction problems, both of these approaches show a similar accuracy improvement to that of the full use of the SGS terms. The present study focuses on a five levels of grid refinement studymore »
 Authors:

 Bay Area Environmental Research Institute, Petaluma, CA (United States)
 NASAAmes Research Center, Moffett Field, CA (United States)
 CORIA UMR 6614 & INSA de Rouen, StEtienne du Rouvray (France)
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Publication Date:
 Research Org.:
 Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
 Sponsoring Org.:
 USDOE National Nuclear Security Administration (NNSA)
 OSTI Identifier:
 1477827
 Report Number(s):
 LLNLJRNL748257
Journal ID: ISSN 18152406; applab; 933337
 Grant/Contract Number:
 AC5207NA27344
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Communications in Computational Physics
 Additional Journal Information:
 Journal Volume: 19; Journal Issue: 02; Journal ID: ISSN 18152406
 Publisher:
 Global Science Press
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; high order numerical methods; turbulent flows with shocks; Germano SGS model; LES
Citation Formats
Kotov, D. V., Yee, H. C., Wray, A. A., Hadjadj, A., and Sjögreen, B. High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks. United States: N. p., 2016.
Web. doi:10.4208/cicp.211014.040915a.
Kotov, D. V., Yee, H. C., Wray, A. A., Hadjadj, A., & Sjögreen, B. High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks. United States. doi:10.4208/cicp.211014.040915a.
Kotov, D. V., Yee, H. C., Wray, A. A., Hadjadj, A., and Sjögreen, B. Mon .
"High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks". United States. doi:10.4208/cicp.211014.040915a. https://www.osti.gov/servlets/purl/1477827.
@article{osti_1477827,
title = {High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks},
author = {Kotov, D. V. and Yee, H. C. and Wray, A. A. and Hadjadj, A. and Sjögreen, B.},
abstractNote = {Simulation of turbulent flows with shocks employing subgridscale (SGS) filtering may encounter a loss of accuracy in the vicinity of a shock. This paper addresses the accuracy improvement of LES of turbulent flows in two ways: (a) from the SGS model standpoint and (b) from the numerical method improvement standpoint. In an internal report, Kotov et al. ( “High Order Numerical Methods for large eddy simulation (LES) of Turbulent Flows with Shocks”, CTR Tech Brief, Oct. 2014, Stanford University), we performed a preliminary comparative study of different approaches to reduce the loss of accuracy within the framework of the dynamic Germano SGS model. The high order low dissipative method of Yee & Sjögreen (2009) using local flow sensors to control the amount of numerical dissipation where needed is used for the LES simulation. The considered improved dynamics model approaches include applying the onesided SGS test filter of Sagaut & Germano (2005) and/or disabling the SGS terms at the shock location. For Mach 1.5 and 3 canonical shockturbulence interaction problems, both of these approaches show a similar accuracy improvement to that of the full use of the SGS terms. The present study focuses on a five levels of grid refinement study to obtain the reference direct numerical simulation (DNS) solution for additional LES SGS comparison and approaches. As a result, one of the numerical accuracy improvements included here applies Harten's subcell resolution procedure to locate and sharpen the shock, and uses a onesided test filter at the grid points adjacent to the exact shock location.},
doi = {10.4208/cicp.211014.040915a},
journal = {Communications in Computational Physics},
number = 02,
volume = 19,
place = {United States},
year = {2016},
month = {2}
}
Web of Science
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