Volume 19, Issue 2
High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks

D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj & B. Sj ¨ogreen

Commun. Comput. Phys., 19 (2016), pp. 273-300.

Published online: 2018-04

Preview Full PDF 101 549
Export citation
  • Abstract

Simulation of turbulent flows with shocks employing subgrid-scale (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 & Sj ¨ogreen (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 one-sided SGS test filter of Sagaut & Germano (2005) and/or disabling the SGS terms at the shock location. For Mach 1.5 and 3 canonical shock-turbulence 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. One of the numerical accuracy improvements included here applies Harten’s subcell resolution procedure to locate and sharpen the shock, and uses a one-sided test filter at the grid points adjacent to the exact shock location.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

  • BibTex
  • RIS
  • TXT
@Article{CiCP-19-273, author = {D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj and B. Sj ¨ogreen}, title = {High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks}, journal = {Communications in Computational Physics}, year = {2018}, volume = {19}, number = {2}, pages = {273--300}, abstract = {

Simulation of turbulent flows with shocks employing subgrid-scale (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 & Sj ¨ogreen (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 one-sided SGS test filter of Sagaut & Germano (2005) and/or disabling the SGS terms at the shock location. For Mach 1.5 and 3 canonical shock-turbulence 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. One of the numerical accuracy improvements included here applies Harten’s subcell resolution procedure to locate and sharpen the shock, and uses a one-sided test filter at the grid points adjacent to the exact shock location.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.211014.040915a}, url = {http://global-sci.org/intro/article_detail/cicp/11089.html} }
TY - JOUR T1 - High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks AU - D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj & B. Sj ¨ogreen JO - Communications in Computational Physics VL - 2 SP - 273 EP - 300 PY - 2018 DA - 2018/04 SN - 19 DO - http://dor.org/10.4208/cicp.211014.040915a UR - https://global-sci.org/intro/cicp/11089.html KW - AB -

Simulation of turbulent flows with shocks employing subgrid-scale (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 & Sj ¨ogreen (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 one-sided SGS test filter of Sagaut & Germano (2005) and/or disabling the SGS terms at the shock location. For Mach 1.5 and 3 canonical shock-turbulence 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. One of the numerical accuracy improvements included here applies Harten’s subcell resolution procedure to locate and sharpen the shock, and uses a one-sided test filter at the grid points adjacent to the exact shock location.

D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj & B. Sj ¨ogreen. (1970). High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks. Communications in Computational Physics. 19 (2). 273-300. doi:10.4208/cicp.211014.040915a
Copy to clipboard
The citation has been copied to your clipboard