Skip to main content
SpringerLink
Log in

Dynamic Evaluation of Mesh Resolution and Its Application in Hybrid LES/RANS Methods

  • Published:
Flow, Turbulence and Combustion Aims and scope Submit manuscript

Abstract

In this work, we investigate a resolution evaluation criterion based on the ratio between turbulent length-scales and grid spacing within the context of dynamic resolution evaluation in hybrid LES/RANS simulations. A modified version of the commonly used length-scale criterion is adopted. The modified length-scale criterion is evaluated for a plane channel flow and compared to the criterion based on two-point correlations. Simulation results show qualitative agreement between the two criteria and physical predictions from both resolution indicators. These observations are confirmed by simulations of flows over periodic hills. It is further demonstrated that the length-scale based criterion is relatively less sensitive on variation of model parameters compared to criteria based on resolved percentage of turbulent quantities. The improved resolution criterion is applied in a dual-mesh hybrid LES/RANS solver. Numerical simulations with the hybrid solver suggest that the interactions between the length-scale resolution indicator and the solution are moderate, and that favorable comparisons with benchmark results are obtained. In summary, we demonstrate that the modified length-scale based resolution indicator performs satisfactorily in both pure LES and hybrid simulations. Therefore, it is selected as a promising candidate to provide reliable predictions of resolution adequacy for individual cells in hybrid LES/RANS simulations.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Chapman, D.R.: Computational aerodynamics: Development and outlook. AIAA J. 17, 1293–313 (1979)

    Article  MATH  Google Scholar 

  2. Xiao, H., Jenny, P.: A consistent dual-mesh framework for hybrid LES/RANSmodeling. J. Comput. Phys. 231(4), 1848–1865 (2012)

    Article  MATH  MathSciNet  Google Scholar 

  3. Gant, S.E.: Reliability issues of LES-related approaches in an industrial context. Flow Turbul. Combust. 84, 325–335 (2010)

    Article  MATH  Google Scholar 

  4. Celik, I.B., Cehreli, Z.N., Yavuz, I.: Index of resolution quality for large eddy simulations. J. Fluids Eng. 949–958 (2005)

  5. Klein, M.: An attempt to assess the quality of large eddy simulations in the context of implicit filtering. Flow Turbul. Comathbfust. 75, 131–147 (2005)

    Article  MATH  Google Scholar 

  6. Grötzbach, G.: Revisiting the resolution requirements for turbulence simulations in nuclear heat transfer. Nucl. Eng. Des. 241(11), 4347–4632 (2011)

    Article  Google Scholar 

  7. Sagaut, P.: Large Eddy Simulations for Incompressible Flows: An Introduction. Springer (2006)

  8. Geurts, B.J., Fröhlich, J.: A framework for predicting accuracy limitations in large eddy simulation. Phys. Fluids 14, 41–44 (2002)

    Article  Google Scholar 

  9. Davidson, L.: Large eddy simulations: How to evaluate resolution.Int. J. Heat Fluid Flow 30, 1016–1025 (2009)

    Article  Google Scholar 

  10. Davidson, L.: How to estimate the resolution of an LES of recirculating flow. In: Quality and Reliability of Large-Eddy Simulations II, pp. 269–286. Springer (2010)

  11. Pope, S.B.: Turbulent Flows. Cambridge University Press, Cambridge (2000)

    Book  MATH  Google Scholar 

  12. Breuer, M., Jaffrezic, B., Arora, K.: Hybrid LES–RANS technique based on a one-equation near-wall model.Theor. Comput. Fluid Dynamics 22, 157–187 (2008)

    Article  MATH  Google Scholar 

  13. OpenCFD Ltd.: The open source CFD toolbox. www.openfoam.com (2011)

  14. Xiao, H., Wild, M., Jenny, P.: Preliminary evaluation and applications of a consistent hybrid LES–RANS method. In: Fu, S., et al. (eds.) Progress in Hybrid RANSLES Modeling, NNFM (117), pp. 91–100. Springer (2011)

  15. Issa, R.I.: Solution of the implicitly discretised fluid flow equations by operator-splitting. J. Comput. Phys. 62, 40–65 (1986)

    Article  MATH  MathSciNet  Google Scholar 

  16. Rhie, C.M., Chow, W.L.: A numerical study of the turbulent flow past an isolated airfoil with trailing edge separation. AIAA 21(11), 1525–1532 (1983)

    Article  MATH  Google Scholar 

  17. Yoshizawa, A., Horiuti, K.: A statistically-derived subgrid-scale kinetic energy model for the large-eddy-simulation of turbulent flows. J. Phys. Soc. Jpn. 54, 2834–2839 (1985)

    Article  Google Scholar 

  18. Jakirlić, S., Kniesner, B., Kadavelil, G., Gnirß, M.: Experimental and computational investigations of flow and mixing in a single-annular comathbfustor configuration. Flow Turbul. Comathbfust. 83, 425–448 (2009)

    Article  MATH  Google Scholar 

  19. Moin, P., Kim, J.: Numerical investigation of turbulent channel flow. J. Fluid Mech. 118, 341–377 (1982)

    Article  MATH  Google Scholar 

  20. Saric, S., Jakirlic, S., Breuer, M., Jaffrezic, B., Deng, G., Chikhaoui, O., Fröhlich, J., von Terzi, D., Manhart, M., Peller, N.: Evaluation of detached eddy simulations for predicting the flow over periodic hills. In: ESAIM: Proceedings, vol. 16, pp. 133–145. doi:10.1051/proc:2007016 (2007)

  21. Temmerman, L., Leschziner, M.A.: Flow over 2D periodic hills. http://cfd.mace.manchester.ac.uk/twiki/bin/view/CfdTm/TestCase014

  22. Addad, Y., Laurence, D., Talotte, C., Jacob, M.C.: Large eddy simulation of a forward-backward facing step for acoustic source identification. Int. J. Heat Fluid Flow 24(4), 562–571 (2003)

    Article  Google Scholar 

  23. Breuer, M., Peller, N., Rapp, C., Manhart, M.: Flow over periodic hills: Numerical and experimental study in a wide range of Reynolds numbers. Comput. Fluids 38(2), 433–457 (2009)

    Article  MATH  Google Scholar 

  24. Durbin, P.A.: A Reynolds stress model for near-wall turbulence. J. Fluid Mech. 249, 465–498 (1993)

    Article  Google Scholar 

  25. Nicoud, F., Ducros, F.: Subgrid-scale stress modelling based on the square of the velocity gradient tensor. Flow Turbul. Comathbfust. 62, 183–200 (1999)

    Article  MATH  Google Scholar 

  26. Kim, J., Moin, P., Moser, R.: Turbulence statistics in fully developed channel flow at low Reynolds number. J Fluid Mech. 177, 133–166 (1987)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Aerospace and Ocean Engineering, Virginia Tech, Blacksburg, VA, 24060, USA

    Heng Xiao & Jianxun Wang

  2. Institute of Fluid Dynamics, ETH Zürich, 8092, Zurich, Switzerland

    Patrick Jenny

Authors
  1. Heng Xiao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jianxun Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Patrick Jenny
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Heng Xiao or Patrick Jenny.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Xiao, H., Wang, J. & Jenny, P. Dynamic Evaluation of Mesh Resolution and Its Application in Hybrid LES/RANS Methods. Flow Turbulence Combust 93, 141–170 (2014). https://doi.org/10.1007/s10494-014-9541-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10494-014-9541-9

Keywords

Search

Navigation