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High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks

High Order Numerical Methods for the Dynamic SGS Model of Turbulent Flows with Shocks
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Year:    2016

Author:    D. V. Kotov, H. C. Yee, A. A. Wray, A. Hadjadj, B. Sjögreen

Communications in Computational Physics, Vol. 19 (2016), Iss. 2 : pp. 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 & 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 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.211014.040915a

Communications in Computational Physics, Vol. 19 (2016), Iss. 2 : pp. 273–300

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    28

Keywords:   

Author Details

D. V. Kotov

H. C. Yee

A. A. Wray

A. Hadjadj

B. Sjögreen

  1. A Nonlinear Approach in the Quantification of Numerical Uncertainty by High-Order Methods for Compressible Turbulence with Shocks

    Yee, H. C. | Sweby, P. K. | Sjögreen, Björn | Kotov, D. V.

    Fluids, Vol. 9 (2024), Iss. 11 P.250

    https://doi.org/10.3390/fluids9110250 [Citations: 0]

  2. Recent developments in accuracy and stability improvement of nonlinear filter methods for DNS and LES of compressible flows

    Yee, H.C. | Sjögreen, Björn

    Computers & Fluids, Vol. 169 (2018), Iss. P.331

    https://doi.org/10.1016/j.compfluid.2017.08.028 [Citations: 16]
  3. Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016

    On High Order Entropy Conservative Numerical Flux for Multiscale Gas Dynamics and MHD Simulations

    Sjögreen, Björn | Yee, H. C.

    2017

    https://doi.org/10.1007/978-3-319-65870-4_29 [Citations: 3]

  4. Generalization to a wider class of entropy split methods for compressible ideal MHD

    Sjögreen, Björn | Yee, H.C.

    Computers & Fluids, Vol. 268 (2024), Iss. P.106087

    https://doi.org/10.1016/j.compfluid.2023.106087 [Citations: 2]

  5. Numerical Dissipation Control in High-Order Methods for Compressible Turbulence: Recent Development

    Yee, H. | Sjögreen, Björn

    Fluids, Vol. 9 (2024), Iss. 6 P.127

    https://doi.org/10.3390/fluids9060127 [Citations: 1]

  6. Comparative study of high order methods for subsonic turbulence simulation with stochastic forcing

    Kritsuk, Alexei G. | Yee, H. C. | Sjögreen, Björn | Kotov, Dmitry

    Journal of Physics: Conference Series, Vol. 1623 (2020), Iss. 1 P.012010

    https://doi.org/10.1088/1742-6596/1623/1/012010 [Citations: 2]

  7. Skew-Symmetric Splitting for Multiscale Gas Dynamics and MHD Turbulence Flows

    Sjögreen, Björn | Yee, H. C. | Kotov, Dmitry | Kritsuk, Alexei G.

    Journal of Scientific Computing, Vol. 83 (2020), Iss. 3

    https://doi.org/10.1007/s10915-020-01225-w [Citations: 7]

  8. Numerical experiments on a hybrid WENO5 filter for shock‐capturing

    Mahmoodi Darian, Hossein | Bozorgpour, Reza | Shafaee, Maziar

    Numerical Methods for Partial Differential Equations, Vol. 35 (2019), Iss. 6 P.2375

    https://doi.org/10.1002/num.22419 [Citations: 1]

  9. Reprint of: Accuracy consideration by DRP schemes for DNS and LES of compressible flow computations

    Sjögreen, Björn | Yee, H.C.

    Computers & Fluids, Vol. 169 (2018), Iss. P.317

    https://doi.org/10.1016/j.compfluid.2018.03.061 [Citations: 3]

  10. Skew-Symmetric Splitting and Stability of High Order Central Schemes

    Sjögreen, Björn | Yee, H.C. | Kotov, Dmitry

    Journal of Physics: Conference Series, Vol. 837 (2017), Iss. P.012019

    https://doi.org/10.1088/1742-6596/837/1/012019 [Citations: 11]

  11. High order nonlinear filter methods for subsonic turbulence simulation with stochastic forcing

    Kritsuk, Alexei G. | Kotov, Dmitry | Sjögreen, Björn | Yee, H.C.

    Journal of Computational Physics, Vol. 431 (2021), Iss. P.110118

    https://doi.org/10.1016/j.jcp.2021.110118 [Citations: 3]

  12. On shock sensors for hybrid compact/WENO schemes

    Zhao, Guo-Yan | Sun, Ming-Bo | Pirozzoli, Sergio

    Computers & Fluids, Vol. 199 (2020), Iss. P.104439

    https://doi.org/10.1016/j.compfluid.2020.104439 [Citations: 31]

  13. Skew-symmetric splitting of high-order central schemes with nonlinear filters for computational aeroacoustics turbulence with shocks

    Sjögreen, B. | Yee, H. C. | Wray, A. A.

    Shock Waves, Vol. 29 (2019), Iss. 8 P.1117

    https://doi.org/10.1007/s00193-019-00925-z [Citations: 3]

  14. High order entropy conservative central schemes for wide ranges of compressible gas dynamics and MHD flows

    Sjögreen, Björn | Yee, H.C.

    Journal of Computational Physics, Vol. 364 (2018), Iss. P.153

    https://doi.org/10.1016/j.jcp.2018.02.003 [Citations: 33]

  15. Entropy Stable Method for the Euler Equations Revisited: Central Differencing via Entropy Splitting and SBP

    Sjögreen, Björn | Yee, H. C.

    Journal of Scientific Computing, Vol. 81 (2019), Iss. 3 P.1359

    https://doi.org/10.1007/s10915-019-01013-1 [Citations: 17]
  16. Turbulent Cascades II

    Energy Transfer and Spectra in Simulations of Two-Dimensional Compressible Turbulence

    Kritsuk, Alexei G.

    2019

    https://doi.org/10.1007/978-3-030-12547-9_8 [Citations: 2]

  17. Accuracy consideration by DRP schemes for DNS and LES of compressible flow computations

    Sjögreen, Björn | Yee, H.C.

    Computers & Fluids, Vol. 159 (2017), Iss. P.123

    https://doi.org/10.1016/j.compfluid.2017.09.017 [Citations: 20]

  18. Subgrid modeling of the filtered equation of state with application to real-fluid turbulent mixing at supercritical pressures

    Unnikrishnan, Umesh | Oefelein, Joseph C. | Yang, Vigor

    Physics of Fluids, Vol. 34 (2022), Iss. 6

    https://doi.org/10.1063/5.0088074 [Citations: 8]

  19. Construction of Conservative Numerical Fluxes for the Entropy Split Method

    Sjögreen, Björn | Yee, H. C.

    Communications on Applied Mathematics and Computation, Vol. 5 (2023), Iss. 2 P.653

    https://doi.org/10.1007/s42967-020-00111-4 [Citations: 2]

  20. Numerical simulation of shock/boundary-layer interaction using an unstructured shock-fitting technique

    Assonitis, Alessia | Paciorri, Renato | Bonfiglioli, Aldo

    Computers & Fluids, Vol. 228 (2021), Iss. P.105058

    https://doi.org/10.1016/j.compfluid.2021.105058 [Citations: 8]